Savilian Professor of Geometry
Encyclopedia
The position of Savilian Professor of Geometry was established at the University of Oxford
University of Oxford
The University of Oxford is a university located in Oxford, United Kingdom. It is the second-oldest surviving university in the world and the oldest in the English-speaking world. Although its exact date of foundation is unclear, there is evidence of teaching as far back as 1096...

 in 1619. It was founded (at the same time as the Savilian Professorship of Astronomy) by Sir Henry Savile, a mathematician and classical scholar
Classics
Classics is the branch of the Humanities comprising the languages, literature, philosophy, history, art, archaeology and other culture of the ancient Mediterranean world ; especially Ancient Greece and Ancient Rome during Classical Antiquity Classics (sometimes encompassing Classical Studies or...

 who was Warden
Warden (college)
A warden is the head of some colleges and other educational institutions. This applies especially at some colleges and institutions at the University of Oxford:* All Souls College* Greyfriars* Keble College* Merton College* New College* Nuffield College...

 of Merton College, Oxford
Merton College, Oxford
Merton College is one of the constituent colleges of the University of Oxford in England. Its foundation can be traced back to the 1260s when Walter de Merton, chancellor to Henry III and later to Edward I, first drew up statutes for an independent academic community and established endowments to...

 and Provost
Provost (education)
A provost is the senior academic administrator at many institutions of higher education in the United States, Canada and Australia, the equivalent of a pro-vice-chancellor at some institutions in the United Kingdom and Ireland....

 of Eton College
Eton College
Eton College, often referred to simply as Eton, is a British independent school for boys aged 13 to 18. It was founded in 1440 by King Henry VI as "The King's College of Our Lady of Eton besides Wyndsor"....

, reacting to what has been described as "the wretched state of mathematical studies in England" at that time. He appointed Henry Briggs
Henry Briggs (mathematician)
Henry Briggs was an English mathematician notable for changing the original logarithms invented by John Napier into common logarithms, which are sometimes known as Briggsian logarithms in his honour....

 as the first professor. There have been 19 geometry
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....

 professors in all, with the most recent, Nigel Hitchin
Nigel Hitchin
Nigel Hitchin is a British mathematician working in the fields of differential geometry, algebraic geometry, and mathematical physics.-Academic career:...

, appointed to the chair in 1997. Past professors include Edmond Halley
Edmond Halley
Edmond Halley FRS was an English astronomer, geophysicist, mathematician, meteorologist, and physicist who is best known for computing the orbit of the eponymous Halley's Comet. He was the second Astronomer Royal in Britain, following in the footsteps of John Flamsteed.-Biography and career:Halley...

, the astronomer, and Baden Powell
Baden Powell (mathematician)
Baden Powell, MA, FRS, FRGS was an English mathematician and Church of England priest. He was also prominent as a liberal theologian who put forward advanced ideas about evolution. He held the Savilian Chair of Geometry at the University of Oxford from 1827 to 1860...

, the father of Robert Baden-Powell
Robert Baden-Powell, 1st Baron Baden-Powell
Robert Stephenson Smyth Baden-Powell, 1st Baron Baden-Powell, Bt, OM, GCMG, GCVO, KCB , also known as B-P or Lord Baden-Powell, was a lieutenant-general in the British Army, writer, and founder of the Scout Movement....

 who founded the Scout Movement. Edward Titchmarsh
Edward Charles Titchmarsh
Edward Charles "Ted" Titchmarsh was a leading British mathematician.He was educated at King Edward VII School and Balliol College, Oxford, where he began his studies in October 1917....

 (professor from 1931 to 1963) said when applying that he was not prepared to lecture on geometry, and the requirement was removed from the duties of the post to enable his appointment, although the title of the chair was not changed. The two Savilian chairs have been linked with professorial fellowships at New College, Oxford
New College, Oxford
New College is one of the constituent colleges of the University of Oxford in the United Kingdom.- Overview :The College's official name, College of St Mary, is the same as that of the older Oriel College; hence, it has been referred to as the "New College of St Mary", and is now almost always...

 since the late 19th century. Before then, for over 175 years until the middle of the 19th century, the geometry professors had an official residence adjoining the college in New College Lane
New College Lane
New College Lane is a historic street in central Oxford, England, named after New College, one of the older Oxford colleges, adjacent to the north....

.

Foundation and duties

Sir Henry Savile, the Warden
Warden (college)
A warden is the head of some colleges and other educational institutions. This applies especially at some colleges and institutions at the University of Oxford:* All Souls College* Greyfriars* Keble College* Merton College* New College* Nuffield College...

 of Merton College, Oxford
Merton College, Oxford
Merton College is one of the constituent colleges of the University of Oxford in England. Its foundation can be traced back to the 1260s when Walter de Merton, chancellor to Henry III and later to Edward I, first drew up statutes for an independent academic community and established endowments to...

 and Provost
Provost (education)
A provost is the senior academic administrator at many institutions of higher education in the United States, Canada and Australia, the equivalent of a pro-vice-chancellor at some institutions in the United Kingdom and Ireland....

 of Eton College
Eton College
Eton College, often referred to simply as Eton, is a British independent school for boys aged 13 to 18. It was founded in 1440 by King Henry VI as "The King's College of Our Lady of Eton besides Wyndsor"....

, was deeply saddened by "the wretched state of mathematical studies in England", and so founded professorships in geometry and astronomy
Astronomy
Astronomy is a natural science that deals with the study of celestial objects and phenomena that originate outside the atmosphere of Earth...

 at the University of Oxford
University of Oxford
The University of Oxford is a university located in Oxford, United Kingdom. It is the second-oldest surviving university in the world and the oldest in the English-speaking world. Although its exact date of foundation is unclear, there is evidence of teaching as far back as 1096...

 in 1619; both chairs were named after him. He also donated his books to the university's Bodleian Library
Bodleian Library
The Bodleian Library , the main research library of the University of Oxford, is one of the oldest libraries in Europe, and in Britain is second in size only to the British Library...

 "for the use chiefly of mathematical readers". He required the professors to be men of good character, at least 26 years old, and to have "imbibed the purer philosophy from the springs of Aristotle
Aristotle
Aristotle was a Greek philosopher and polymath, a student of Plato and teacher of Alexander the Great. His writings cover many subjects, including physics, metaphysics, poetry, theater, music, logic, rhetoric, linguistics, politics, government, ethics, biology, and zoology...

 and Plato
Plato
Plato , was a Classical Greek philosopher, mathematician, student of Socrates, writer of philosophical dialogues, and founder of the Academy in Athens, the first institution of higher learning in the Western world. Along with his mentor, Socrates, and his student, Aristotle, Plato helped to lay the...

" before acquiring a thorough knowledge of science. The professors could come from any Christian country, but he specified that a professor from England should have an Master of Arts degree as a minimum. He wanted students to be educated in the works of the leading scientists of the ancient world, saying that the professor of geometry should teach Euclid
Euclid
Euclid , fl. 300 BC, also known as Euclid of Alexandria, was a Greek mathematician, often referred to as the "Father of Geometry". He was active in Alexandria during the reign of Ptolemy I...

's Elements
Euclid's Elements
Euclid's Elements is a mathematical and geometric treatise consisting of 13 books written by the Greek mathematician Euclid in Alexandria c. 300 BC. It is a collection of definitions, postulates , propositions , and mathematical proofs of the propositions...

, Apollonius
Apollonius of Perga
Apollonius of Perga [Pergaeus] was a Greek geometer and astronomer noted for his writings on conic sections. His innovative methodology and terminology, especially in the field of conics, influenced many later scholars including Ptolemy, Francesco Maurolico, Isaac Newton, and René Descartes...

's Conics, and the works of Archimedes
Archimedes
Archimedes of Syracuse was a Greek mathematician, physicist, engineer, inventor, and astronomer. Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. Among his advances in physics are the foundations of hydrostatics, statics and an...

; tuition in trigonometry
Trigonometry
Trigonometry is a branch of mathematics that studies triangles and the relationships between their sides and the angles between these sides. Trigonometry defines the trigonometric functions, which describe those relationships and have applicability to cyclical phenomena, such as waves...

 was to be shared by the two professors. As many students would have had little mathematical knowledge, the professors were also permitted to provide instruction in basic mathematics in English (as opposed to Latin, the language used in education at Oxford at the time).

Appointment

Savile's first choice for the professorship of geometry was Edmund Gunter
Edmund Gunter
Edmund Gunter , English mathematician, of Welsh descent, was born in Hertfordshire in 1581.He was educated at Westminster School, and in 1599 was elected a student of Christ Church, Oxford. He took orders, became a preacher in 1614, and in 1615 proceeded to the degree of bachelor in divinity...

, Professor of Astronomy
Gresham Professor of Astronomy
The Professor of Astronomy at Gresham College, London, gives free educational lectures to the general public. The college was founded for this purpose in 1596 / 7, when it appointed seven professors; this has since increased to eight and in addition the college now has visiting professors.The...

 at Gresham College
Gresham College
Gresham College is an institution of higher learning located at Barnard's Inn Hall off Holborn in central London, England. It was founded in 1597 under the will of Sir Thomas Gresham and today it hosts over 140 free public lectures every year within the City of London.-History:Sir Thomas Gresham,...

, London. It was reported that Gunter demonstrated the use of his sector
Sector (instrument)
The sector, also known as a proportional compass or military compass, was a major calculating instrument in use from the end of the sixteenth century until the nineteenth century. It is an instrument consisting of two rulers of equal length which are joined by a hinge. A number of scales are...

 and quadrant
Quadrant (instrument)
A quadrant is an instrument that is used to measure angles up to 90°. It was originally proposed by Ptolemy as a better kind of astrolabe. Several different variations of the instrument were later produced by medieval Muslim astronomers.-Types of quadrants:...

, but Savile regarded this as "showing of tricks" rather than geometry, and instead appointed Henry Briggs
Henry Briggs (mathematician)
Henry Briggs was an English mathematician notable for changing the original logarithms invented by John Napier into common logarithms, which are sometimes known as Briggsian logarithms in his honour....

, the Gresham Professor of Geometry
Gresham Professor of Geometry
The Professor of Geometry at Gresham College, London, gives free educational lectures to the general public. The college was founded for this purpose in 1596 / 7, when it appointed seven professors; this has since increased to eight and in addition the college now has visiting professors.The...

, in 1619. Briggs took up the chair in 1620 at an annual salary of £150 (approximately £ in present day terms) and thus became the first person to hold the first two mathematical chairs established in Britain.

Savile reserved to himself the right to appoint the professors during his lifetime. After his death, he provided that vacancies should be filled by a majority of a group of "most distinguished persons": the Archbishop of Canterbury
Archbishop of Canterbury
The Archbishop of Canterbury is the senior bishop and principal leader of the Church of England, the symbolic head of the worldwide Anglican Communion, and the diocesan bishop of the Diocese of Canterbury. In his role as head of the Anglican Communion, the archbishop leads the third largest group...

, the Lord Chancellor
Lord Chancellor
The Lord High Chancellor of Great Britain, or Lord Chancellor, is a senior and important functionary in the government of the United Kingdom. He is the second highest ranking of the Great Officers of State, ranking only after the Lord High Steward. The Lord Chancellor is appointed by the Sovereign...

, the Chancellor of the university, the Bishop of London
Bishop of London
The Bishop of London is the ordinary of the Church of England Diocese of London in the Province of Canterbury.The diocese covers 458 km² of 17 boroughs of Greater London north of the River Thames and a small part of the County of Surrey...

, the Secretary of State
Secretary of State (England)
In the Kingdom of England, the title of Secretary of State came into being near the end of the reign of Queen Elizabeth I , the usual title before that having been King's Clerk, King's Secretary, or Principal Secretary....

, the Chief Justice of the Common Pleas
Chief Justice of the Common Pleas
The Court of Common Pleas, also known as the Common Bench or Common Place, was the second highest common law court in the English legal system until 1880, when it was dissolved. As such, the Chief Justice of the Common Pleas was one of the highest judicial officials in England, behind only the Lord...

, the Chief Justice of the King's Bench, the Chief Baron of the Exchequer and the Dean of the Court of Arches
Dean of Arches
The Dean of Arches is the judge who sits at the ecclesiastical court of the Archbishop of Canterbury in England. This appeal court is commonly called the Arches Court....

. The Vice-Chancellor of the university was to inform the electors of any vacancy, and could be summoned to advise them. The appointment could either be made straight away, or delayed for some months to see whether "any eminent mathematician can be allured" from abroad.

As part of reforms of the university in the 19th century, the University of Oxford commissioners laid down new statutes for the chair in 1881. The professor was to "lecture and give instruction in pure and analytical Geometry", and was to be a Fellow of New College
New College, Oxford
New College is one of the constituent colleges of the University of Oxford in the United Kingdom.- Overview :The College's official name, College of St Mary, is the same as that of the older Oriel College; hence, it has been referred to as the "New College of St Mary", and is now almost always...

. The electors for the professorship were to be the Warden of New College (or a person nominated by the college in his place), the Chancellor of the University of Oxford, the President of the Royal Society
Royal Society
The Royal Society of London for Improving Natural Knowledge, known simply as the Royal Society, is a learned society for science, and is possibly the oldest such society in existence. Founded in November 1660, it was granted a Royal Charter by King Charles II as the "Royal Society of London"...

, the Sedleian Professor of Natural Philosophy
Sedleian professor of natural philosophy
The Sedleian professor of natural philosophy is the name of a chair at the Mathematical Institute of the University of Oxford.The Sedleian Chair was founded by Sir William Sedley who, by his will dated October 20, 1618, left the sum of ₤2,000 to the University of Oxford for purchase of lands for...

 at Oxford, the Sadleirian Professor of Pure Mathematics at the University of Cambridge
University of Cambridge
The University of Cambridge is a public research university located in Cambridge, United Kingdom. It is the second-oldest university in both the United Kingdom and the English-speaking world , and the seventh-oldest globally...

, a person nominated by the university council and one other nominated by New College. Edward Titchmarsh
Edward Charles Titchmarsh
Edward Charles "Ted" Titchmarsh was a leading British mathematician.He was educated at King Edward VII School and Balliol College, Oxford, where he began his studies in October 1917....

 (professor from 1931 to 1963) said when applying that he was not prepared to lecture on geometry, and the requirement was removed from the duties of the professor to enable his appointment, although the title of the chair was not changed. Changes to the university's internal legislation in the 20th and early 21st centuries abolished specific statutes for the duties of, and rules for appointment to, individual chairs such as the Savilian professorships. The University Council is now empowered to make appropriate arrangements for appointments and conditions of service, with the college to which any professorship is allocated (New College in the case of the Savilian chairs) to have two representatives on the board of electors.

Professors

There have been 19 professors; the current holder of the chair, Nigel Hitchin
Nigel Hitchin
Nigel Hitchin is a British mathematician working in the fields of differential geometry, algebraic geometry, and mathematical physics.-Academic career:...

, was appointed in 1997. He is now one of sixteen statutory professors in the Mathematical Institute of the university, and a member of the institute's Geometry Group of researchers. The post has been held by a number of distinguished mathematicians, who have made various contributions to the subject. Briggs helped to develop the common logarithm
Common logarithm
The common logarithm is the logarithm with base 10. It is also known as the decadic logarithm, named after its base. It is indicated by log10, or sometimes Log with a capital L...

, described as "one of the most useful systems for mathematics". The third professor, John Wallis, introduced the use of for infinity
Infinity
Infinity is a concept in many fields, most predominantly mathematics and physics, that refers to a quantity without bound or end. People have developed various ideas throughout history about the nature of infinity...

, and was regarded as "one of the leading mathematicians of his time". Both Edmond Halley
Edmond Halley
Edmond Halley FRS was an English astronomer, geophysicist, mathematician, meteorologist, and physicist who is best known for computing the orbit of the eponymous Halley's Comet. He was the second Astronomer Royal in Britain, following in the footsteps of John Flamsteed.-Biography and career:Halley...

, who successfully predicted the return of the comet named in his honour, and his successor Nathaniel Bliss
Nathaniel Bliss
The Reverend Nathaniel Bliss was an English astronomer of the 18th century, serving as Britain's fourth Astronomer Royal between 1762 and 1764....

 held the post of Astronomer Royal
Astronomer Royal
Astronomer Royal is a senior post in the Royal Household of the Sovereign of the United Kingdom. There are two officers, the senior being the Astronomer Royal dating from 22 June 1675; the second is the Astronomer Royal for Scotland dating from 1834....

 in addition to the professorship. Stephen Rigaud
Stephen Peter Rigaud
Stephen Peter Rigaud was an English mathematical historian and astronomer: He was a Fellow of Exeter College from 1794 to 1810, held the Savilian Chair of Geometry at the University of Oxford from 1810 to 1827, the Savilian Professor of Astronomy from 1827 to 1839.-Published works:* Historical...

 (professor 1810–1827) has been called "the foremost historian of astronomy and mathematics in his generation". The life and work of James Sylvester
James Joseph Sylvester
James Joseph Sylvester was an English mathematician. He made fundamental contributions to matrix theory, invariant theory, number theory, partition theory and combinatorics...

 (professor 1883–1894) was commemorated by the Royal Society
Royal Society
The Royal Society of London for Improving Natural Knowledge, known simply as the Royal Society, is a learned society for science, and is possibly the oldest such society in existence. Founded in November 1660, it was granted a Royal Charter by King Charles II as the "Royal Society of London"...

 by the inauguration of the Sylvester Medal
Sylvester Medal
The Sylvester Medal is a bronze medal awarded by the Royal Society for the encouragement of mathematical research, and accompanied by a £1,000 prize...

; this was won by a later professor, Edward Titchmarsh
Edward Charles Titchmarsh
Edward Charles "Ted" Titchmarsh was a leading British mathematician.He was educated at King Edward VII School and Balliol College, Oxford, where he began his studies in October 1917....

. Two professors, Sylvester and Michael Atiyah
Michael Atiyah
Sir Michael Francis Atiyah, OM, FRS, FRSE is a British mathematician working in geometry.Atiyah grew up in Sudan and Egypt but spent most of his academic life in the United Kingdom at Oxford and Cambridge, and in the United States at the Institute for Advanced Study...

 (professor 1963–1969), have been awarded the Copley Medal
Copley Medal
The Copley Medal is an award given by the Royal Society of London for "outstanding achievements in research in any branch of science, and alternates between the physical sciences and the biological sciences"...

 of the Royal Society; Atiyah also won the Fields Medal
Fields Medal
The Fields Medal, officially known as International Medal for Outstanding Discoveries in Mathematics, is a prize awarded to two, three, or four mathematicians not over 40 years of age at each International Congress of the International Mathematical Union , a meeting that takes place every four...

 while he was professor.

Professors' house

John Wallis (professor 1649–1703) rented a house from New College on New College Lane
New College Lane
New College Lane is a historic street in central Oxford, England, named after New College, one of the older Oxford colleges, adjacent to the north....

 from 1672 until his death in 1703; at some point, it was divided into two houses. Towards the end of his life, David Gregory (the Savilian Professor of Astronomy) lived in the eastern part of the premises: although no lease between Wallis and Gregory survives (if one was ever made between the two friends), Gregory's name appears for the first time in the parish rate-book of 1701. Wallis's son gave the unexpired portion of the lease to the university in 1704 in honour of his father's long tenure of the chair, to provide official residences for the two Savilian professors. New College renewed the lease at a low rent from 1716 and thereafter at intervals until the last renewal in 1814. Three stipulations in the donation (that the eastern house should be for the geometry professor and the western for the astronomy professor, that the professors should not be allowed to sublet, and that the university should keep the premises in repair) were not observed. Gregory continued to live in the eastern house, so Halley (geometry professor 1704–1742) was allocated the wrong house, and the situation was never regularised in accordance with the terms of the donation. Records of who lived in each house are not available throughout the period, but it is known from documentation that does survive that the professors often sub-let the houses and for about twenty years in the early 18th century the premises were being used as a lodging house. Rigaud lived there from 1810 until he became the astronomy professor in 1827; thereafter, Baden Powell
Baden Powell (mathematician)
Baden Powell, MA, FRS, FRGS was an English mathematician and Church of England priest. He was also prominent as a liberal theologian who put forward advanced ideas about evolution. He held the Savilian Chair of Geometry at the University of Oxford from 1827 to 1860...

 lived there with his family. Through lack of repair, the properties gradually deteriorated; it was estimated in 1811 that £250 (approximately £ in present day terms) was needed for repairs, let alone redecoration. The geometry professors were associated with the houses for longer than the astronomy professors: when the Radcliffe Observatory
Radcliffe Observatory
Radcliffe Observatory was the astronomical observatory of Oxford University from 1773 until 1934, when the Radcliffe Trustees sold it and erected a new observatory in Pretoria, South Africa. It is a grade I listed building.- History :...

 was built in 1770s, the post of Radcliffe Observer was coupled to the astronomy professorship, and they were provided with a house in that role; thereafter, the university sublet the astronomy professor's house itself. In the early 19th century, New College decided that it wished to use the properties for itself and the lease expired without renewal in 1854.

List of professors


Name Professor EducationAt the University of Oxford, unless otherwise indicated College as Professor Notes
1619–1631 University of Cambridge
University of Cambridge
The University of Cambridge is a public research university located in Cambridge, United Kingdom. It is the second-oldest university in both the United Kingdom and the English-speaking world , and the seventh-oldest globally...

 (St John's College
St John's College, Cambridge
St John's College is a constituent college of the University of Cambridge. The college's alumni include nine Nobel Prize winners, six Prime Ministers, three archbishops, at least two princes, and three Saints....

)
Merton College
Merton College, Oxford
Merton College is one of the constituent colleges of the University of Oxford in England. Its foundation can be traced back to the 1260s when Walter de Merton, chancellor to Henry III and later to Edward I, first drew up statutes for an independent academic community and established endowments to...

Briggs was a lecturer in mathematics and in physic (medicine) at Cambridge, also becoming the first professor of geometry at Gresham College
Gresham College
Gresham College is an institution of higher learning located at Barnard's Inn Hall off Holborn in central London, England. It was founded in 1597 under the will of Sir Thomas Gresham and today it hosts over 140 free public lectures every year within the City of London.-History:Sir Thomas Gresham,...

, London, in 1597. He had become acquainted with the principles of Napier's logarithm by 1615: logarithms aided the calculations of astronomy and navigation that were carried out at Gresham since they allowed multiplication of multi-digit numbers to be carried out through the addition of their logarithms. The innovation that Briggs suggested to Napier was to use steps of 10 (the common logarithm
Common logarithm
The common logarithm is the logarithm with base 10. It is also known as the decadic logarithm, named after its base. It is indicated by log10, or sometimes Log with a capital L...

). After two visits by Briggs to John Napier
John Napier
John Napier of Merchiston – also signed as Neper, Nepair – named Marvellous Merchiston, was a Scottish mathematician, physicist, astronomer & astrologer, and also the 8th Laird of Merchistoun. He was the son of Sir Archibald Napier of Merchiston. John Napier is most renowned as the discoverer...

 in Edinburgh, they agreed a redefinition of the logarithm process, but Napier wrote in 1617 that the calculations would have to be carried out by others, including Briggs, because of his own ill health. Briggs is regarded as having created "one of the most useful systems for mathematics". In 1624, his main work, Arithmetica logarithmica, was published with calculations of the logarithms of 1 to 20,000 and 90,001 to 100,000 to fourteen decimal places. He died in Merton in 1631 and was buried in the choir of Merton College chapel
Merton College Chapel
Merton College Chapel is the chapel church of Merton College, Oxford, England. Dedicated to St Mary and St John the Baptist, the chapel was largely completed at the end of the Thirteenth Century.-History:...

.
1631–1648 St Mary Hall
St Mary Hall, Oxford
St Mary Hall was an academic hall of the University of Oxford associated with Oriel College since 1326, but which functioned independently from 1545 to 1902.- History :...

 and Christ Church
Christ Church, Oxford
Christ Church or house of Christ, and thus sometimes known as The House), is one of the largest constituent colleges of the University of Oxford in England...

Merton College
Merton College, Oxford
Merton College is one of the constituent colleges of the University of Oxford in England. Its foundation can be traced back to the 1260s when Walter de Merton, chancellor to Henry III and later to Edward I, first drew up statutes for an independent academic community and established endowments to...

Turner succeeded Briggs as professor of geometry at Gresham College
Gresham College
Gresham College is an institution of higher learning located at Barnard's Inn Hall off Holborn in central London, England. It was founded in 1597 under the will of Sir Thomas Gresham and today it hosts over 140 free public lectures every year within the City of London.-History:Sir Thomas Gresham,...

, London, in 1620; he succeeded him in the Savilian professorship and resigned as Gresham professor in 1631. Before this, he had been asked by William Laud
William Laud
William Laud was Archbishop of Canterbury from 1633 to 1645. One of the High Church Caroline divines, he opposed radical forms of Puritanism...

 (Archbishop of Canterbury
Archbishop of Canterbury
The Archbishop of Canterbury is the senior bishop and principal leader of the Church of England, the symbolic head of the worldwide Anglican Communion, and the diocesan bishop of the Diocese of Canterbury. In his role as head of the Anglican Communion, the archbishop leads the third largest group...

 and Chancellor of the University of Oxford) to help draft new statutes to govern the university; the final draft was his work, and was published in 1634. During the English Civil War
English Civil War
The English Civil War was a series of armed conflicts and political machinations between Parliamentarians and Royalists...

, he fought on the side of the Royalists
Cavalier
Cavalier was the name used by Parliamentarians for a Royalist supporter of King Charles I and son Charles II during the English Civil War, the Interregnum, and the Restoration...

 and was captured near Stow-on-the-Wold
Stow-on-the-Wold
Stow-on-the-Wold is a market town and civil parish in Gloucestershire, England. It is situated on top of an 800 ft hill, at the convergence of a number of major roads through the Cotswolds, including the Fosse Way . The town was founded as a planned market place by Norman lords to take...

 in 1641; he was imprisoned in Southwark
Southwark
Southwark is a district of south London, England, and the administrative headquarters of the London Borough of Southwark. Situated east of Charing Cross, it forms one of the oldest parts of London and fronts the River Thames to the north...

 until an exchange of prisoners in 1643. He was evicted from his fellowship at Merton and from the professorship by the Parliamentary
Roundhead
"Roundhead" was the nickname given to the supporters of the Parliament during the English Civil War. Also known as Parliamentarians, they fought against King Charles I and his supporters, the Cavaliers , who claimed absolute power and the divine right of kings...

 visitors in charge of the university in 1648, and died in poverty in 1652. He appears to have published little of substance, despite a good contemporary reputation as a mathematician and classical scholar
Classics
Classics is the branch of the Humanities comprising the languages, literature, philosophy, history, art, archaeology and other culture of the ancient Mediterranean world ; especially Ancient Greece and Ancient Rome during Classical Antiquity Classics (sometimes encompassing Classical Studies or...

.
1649–1703 University of Cambridge
University of Cambridge
The University of Cambridge is a public research university located in Cambridge, United Kingdom. It is the second-oldest university in both the United Kingdom and the English-speaking world , and the seventh-oldest globally...

 (Emmanuel College
Emmanuel College, Cambridge
Emmanuel College is a constituent college of the University of Cambridge.The college was founded in 1584 by Sir Walter Mildmay on the site of a Dominican friary...

)
Exeter College
Exeter College, Oxford
Exeter College is one of the constituent colleges of the University of Oxford in England and the fourth oldest college of the University. The main entrance is on the east side of Turl Street...

Before he entered Cambridge, Wallis was taught some mathematics at the age of 15 by his elder brother. He later claimed to have been self-taught in mathematics thereafter, saying in his autobiography that he had studied it as "a pleasing Diversion, at spare hours", adding that it then was regarded as more for "Traders, Merchants, Seamen, Carpenters, Surveyors of Lands, or the like" than as a subject for academical study at university level. He developed an interest in cryptography
Cryptography
Cryptography is the practice and study of techniques for secure communication in the presence of third parties...

, working on behalf of the Parliamentarians during the English Civil War
English Civil War
The English Civil War was a series of armed conflicts and political machinations between Parliamentarians and Royalists...

. He was one of the founding members of the Royal Society
Royal Society
The Royal Society of London for Improving Natural Knowledge, known simply as the Royal Society, is a learned society for science, and is possibly the oldest such society in existence. Founded in November 1660, it was granted a Royal Charter by King Charles II as the "Royal Society of London"...

, writing over sixty papers and book reviews for it. After his appointment to the chair, he developed his mathematical skills such that he became "one of the leading mathematicians of his time": he introduced as the sign for infinity
Infinity
Infinity is a concept in many fields, most predominantly mathematics and physics, that refers to a quantity without bound or end. People have developed various ideas throughout history about the nature of infinity...

, influenced Isaac Newton
Isaac Newton
Sir Isaac Newton PRS was an English physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian, who has been "considered by many to be the greatest and most influential scientist who ever lived."...

 with his writings, and took part in various mathematical debates with scholars such as Blaise Pascal
Blaise Pascal
Blaise Pascal , was a French mathematician, physicist, inventor, writer and Catholic philosopher. He was a child prodigy who was educated by his father, a tax collector in Rouen...

 and Thomas Hobbes
Thomas Hobbes
Thomas Hobbes of Malmesbury , in some older texts Thomas Hobbs of Malmsbury, was an English philosopher, best known today for his work on political philosophy...

. He was appointed keeper of the university archives in 1658, and was continued in his posts after the Restoration of Charles II
Charles II of England
Charles II was monarch of the three kingdoms of England, Scotland, and Ireland.Charles II's father, King Charles I, was executed at Whitehall on 30 January 1649, at the climax of the English Civil War...

 in 1660, until his death at the age of 86.
1704–1742 The Queen's College
The Queen's College, Oxford
The Queen's College, founded 1341, is one of the constituent colleges of the University of Oxford in England. Queen's is centrally situated on the High Street, and is renowned for its 18th-century architecture...

The Queen's College
The Queen's College, Oxford
The Queen's College, founded 1341, is one of the constituent colleges of the University of Oxford in England. Queen's is centrally situated on the High Street, and is renowned for its 18th-century architecture...

Halley, who later calculated the orbit of what became known as Halley's comet, was already in correspondence with European astronomers as an undergraduate, writing three scientific papers in this time. He left Oxford to travel to St Helena for the 1677 transit of Mercury
Transit of Mercury
A transit of Mercury across the Sun takes place when the planet Mercury comes between the Sun and the Earth, and Mercury is seen as a small black dot moving across the face of the Sun....

, so that he could calculate the distance of the sun; his work brought him a leading reputation in Europe and election to the Royal Society
Royal Society
The Royal Society of London for Improving Natural Knowledge, known simply as the Royal Society, is a learned society for science, and is possibly the oldest such society in existence. Founded in November 1660, it was granted a Royal Charter by King Charles II as the "Royal Society of London"...

 aged 22. He questioned Isaac Newton
Isaac Newton
Sir Isaac Newton PRS was an English physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian, who has been "considered by many to be the greatest and most influential scientist who ever lived."...

 on the orbits of the planets, leading Newton to renew his study of the topic and write his Principia Mathematica in 1687; Halley supervised and paid for its publication. He failed to be appointed as Savilian Professor of Astronomy in 1691, but was appointed by Newton to a position in the Royal Mint
Royal Mint
The Royal Mint is the body permitted to manufacture, or mint, coins in the United Kingdom. The Mint originated over 1,100 years ago, but since 2009 it operates as Royal Mint Ltd, a company which has an exclusive contract with HM Treasury to supply all coinage for the UK...

 instead. His own works included discussion of rainbows, optics and barometers, and he calculated the site of Julius Caesar's invasion of Britain
Caesar's invasions of Britain
In his Gallic Wars, Julius Caesar invaded Britain twice, in 55 and 54 BC. The first invasion, made late in summer, was either intended as a full invasion or a reconnaissance-in-force expedition...

 by reference to the tides. He also carried out navigational surveys on behalf of the Royal Navy
Royal Navy
The Royal Navy is the naval warfare service branch of the British Armed Forces. Founded in the 16th century, it is the oldest service branch and is known as the Senior Service...

 and drew up tables calculating the positions of the sun, moon and planets for many centuries. He was appointed Astronomer Royal
Astronomer Royal
Astronomer Royal is a senior post in the Royal Household of the Sovereign of the United Kingdom. There are two officers, the senior being the Astronomer Royal dating from 22 June 1675; the second is the Astronomer Royal for Scotland dating from 1834....

 in 1721.
1742–1764 Pembroke College
Pembroke College, Oxford
Pembroke College is one of the constituent colleges of the University of Oxford in England, located in Pembroke Square. As of 2009, Pembroke had an estimated financial endowment of £44.9 million.-History:...

Pembroke College
Pembroke College, Oxford
Pembroke College is one of the constituent colleges of the University of Oxford in England, located in Pembroke Square. As of 2009, Pembroke had an estimated financial endowment of £44.9 million.-History:...

Bliss was appointed rector
Rector
The word rector has a number of different meanings; it is widely used to refer to an academic, religious or political administrator...

 of St Ebbe's Church, Oxford, in 1736. When he applied to succeed Halley, his supporters included James Bradley
James Bradley
James Bradley FRS was an English astronomer and served as Astronomer Royal from 1742, succeeding Edmund Halley. He is best known for two fundamental discoveries in astronomy, the aberration of light , and the nutation of the Earth's axis...

 (the Astronomer Royal
Astronomer Royal
Astronomer Royal is a senior post in the Royal Household of the Sovereign of the United Kingdom. There are two officers, the senior being the Astronomer Royal dating from 22 June 1675; the second is the Astronomer Royal for Scotland dating from 1834....

) and Robert Smith
Robert Smith (mathematician)
Robert Smith was an English mathematician and music theorist.-Life:Smith was probably born at Lea near Gainsborough, the son of the rector of Gate Burton, Lincolnshire...

 (professor of astronomy
Plumian Professor of Astronomy and Experimental Philosophy
The Plumian chair of Astronomy and Experimental Philosophy is one of the two major Professorships in Astronomy at Cambridge University, alongside the Lowndean Professorship. The chair is currently held at the Institute of Astronomy in the University...

 at the University of Cambridge
University of Cambridge
The University of Cambridge is a public research university located in Cambridge, United Kingdom. It is the second-oldest university in both the United Kingdom and the English-speaking world , and the seventh-oldest globally...

). As professor, he established an observatory
Observatory
An observatory is a location used for observing terrestrial or celestial events. Astronomy, climatology/meteorology, geology, oceanography and volcanology are examples of disciplines for which observatories have been constructed...

 (the fourth in the city) by attaching his instruments to a part of Oxford city wall near his official house. He provided astronomical measurements to Bradley and George Parker, 2nd Earl of Macclesfield
George Parker, 2nd Earl of Macclesfield
George Parker, 2nd Earl of Macclesfield, FRS was an English peer and astronomer.Styled Viscount Parker from 1721 to 1732, he was Member of Parliament for Wallingford from 1722 to 1727, but his interests were not in politics...

, who had an observatory at Shirburn Castle
Shirburn Castle
Shirburn Castle is at the village of Shirburn, south of Thame, Oxfordshire.Shirburn Castle was the seat of the Earls of Macclesfield. George Parker, 2nd Earl of Macclesfield , celebrated as an astronomer, spent much time conducting astronomical observations at Shirburn Castle, which his father...

. Bliss succeeded Bradley as Astronomer Royal in 1762, but died suddenly in 1764.
1765–1766 University College
University College, Oxford
.University College , is a constituent college of the University of Oxford in England. As of 2009 the college had an estimated financial endowment of £110m...

University College
University College, Oxford
.University College , is a constituent college of the University of Oxford in England. As of 2009 the college had an estimated financial endowment of £110m...

Betts tried and failed to be elected as Savilian Professor of Astronomy in 1763, the post going to Thomas Hornsby
Thomas Hornsby
Thomas Hornsby FRS was a British astronomer and mathematician.Hornsby became a Fellow of Corpus Christi College, Oxford in 1760....

 instead. His supporters at that election included George Lee, 3rd Earl of Lichfield
George Lee, 3rd Earl of Lichfield
George Henry Lee II, 3rd Earl of Lichfield PC was a British politician and peer. He was made a Privy Councillor and Captain of the Gentlemen-at-Arms in 1762, holding both honors until death...

 (the university's Chancellor), John Stuart, 3rd Earl of Bute
John Stuart, 3rd Earl of Bute
John Stuart, 3rd Earl of Bute KG, PC , styled Lord Mount Stuart before 1723, was a Scottish nobleman who served as Prime Minister of Great Britain under George III, and was arguably the last important favourite in British politics...

 (Prime Minister 1762–1763), and George Montagu-Dunk, 2nd Earl of Halifax
George Montagu-Dunk, 2nd Earl of Halifax
George Montagu-Dunk, 2nd Earl of Halifax, KG, PC was a British statesman of the Georgian era.-Early life:...

 (Secretary of State
Secretary of State for the Southern Department
The Secretary of State for the Southern Department was a position in the cabinet of the government of Kingdom of Great Britain up to 1782.Before 1782, the responsibilities of the two British Secretaries of State were divided not based on the principles of modern ministerial divisions, but...

). He expressed his thanks to them in the dedication of a print of the annular solar eclipse of 1 April 1764.
1766–1796 Balliol College
Balliol College, Oxford
Balliol College , founded in 1263, is one of the constituent colleges of the University of Oxford in England but founded by a family with strong Scottish connections....

 and St Mary Hall
St Mary Hall, Oxford
St Mary Hall was an academic hall of the University of Oxford associated with Oriel College since 1326, but which functioned independently from 1545 to 1902.- History :...

St Mary Hall
St Mary Hall, Oxford
St Mary Hall was an academic hall of the University of Oxford associated with Oriel College since 1326, but which functioned independently from 1545 to 1902.- History :...

Smith studied at Balliol from 1744 onwards, receiving his Bachelor of Arts
Bachelor of Arts
A Bachelor of Arts , from the Latin artium baccalaureus, is a bachelor's degree awarded for an undergraduate course or program in either the liberal arts, the sciences, or both...

 degree in 1748, his Master of Arts degree in 1751 and his Bachelor of Medicine degree in 1753. He obtained his Doctor of Medicine
Doctor of Medicine
Doctor of Medicine is a doctoral degree for physicians. The degree is granted by medical schools...

 degree as a member of St Mary Hall, and was working as a doctor in Cheltenham
Cheltenham
Cheltenham , also known as Cheltenham Spa, is a large spa town and borough in Gloucestershire, on the edge of the Cotswolds in the South-West region of England. It is the home of the flagship race of British steeplechase horse racing, the Gold Cup, the main event of the Cheltenham Festival held...

 in 1784, when Abraham Robertson
Abraham Robertson
Abraham or Abram Robertson , was a Scottish mathematician and astronomer. He held the Savilian Chair of Geometry at the University of Oxford from 1797 to 1809....

 deputised for him. Smith built a stable and a small tenement behind his official house, destroying part of the medieval city wall as he did so, and bequeathed both additions to his successors in the chair in a "rather pompous" clause in his will.
1797–1810 Christ Church
Christ Church, Oxford
Christ Church or house of Christ, and thus sometimes known as The House), is one of the largest constituent colleges of the University of Oxford in England...

Christ Church
Christ Church, Oxford
Christ Church or house of Christ, and thus sometimes known as The House), is one of the largest constituent colleges of the University of Oxford in England...

Robertson started studying at Oxford aged 24, having previously unsuccessfully run an evening school in Oxford for mechanics. He was supported by John Smith, and deputised for him in 1784 as Smith was working as a doctor in Cheltenham
Cheltenham
Cheltenham , also known as Cheltenham Spa, is a large spa town and borough in Gloucestershire, on the edge of the Cotswolds in the South-West region of England. It is the home of the flagship race of British steeplechase horse racing, the Gold Cup, the main event of the Cheltenham Festival held...

. He was well-regarded as a lecturer, noted for his clarity and the assistance he gave in encouraging students. He was elected as a Fellow of the Royal Society in 1795 to mark his work on conic section
Conic section
In mathematics, a conic section is a curve obtained by intersecting a cone with a plane. In analytic geometry, a conic may be defined as a plane algebraic curve of degree 2...

s (the subject of his main work, Sectionum conicarum libri septem, in 1792) and his "literary attainments and diligence in the pursuit of science". He also oversaw publication of an edition of the works of Archimedes
Archimedes
Archimedes of Syracuse was a Greek mathematician, physicist, engineer, inventor, and astronomer. Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. Among his advances in physics are the foundations of hydrostatics, statics and an...

. He succeeded Smith in 1797, and became Savilian professor of astronomy in 1810.
1810–1827 Exeter College
Exeter College, Oxford
Exeter College is one of the constituent colleges of the University of Oxford in England and the fourth oldest college of the University. The main entrance is on the east side of Turl Street...

Rigaud, whose father was the observer at Kew Observatory
Kew Observatory
Kew Observatory was an astronomical and terrestrial magnetic observatoryfounded by King George III , located within the Old Deer Park of the former Richmond Palace in Richmond, Surrey, now within Greater London. The former royal manor of Kew lies to the immediate north...

, made his first recorded observations in astronomy when at Exeter College, and was elected to a fellowship of the college when still an undergraduate. From about 1805, he substituted for Thomas Hornsby
Thomas Hornsby
Thomas Hornsby FRS was a British astronomer and mathematician.Hornsby became a Fellow of Corpus Christi College, Oxford in 1760....

, Savilian Professor of Astronomy and reader in experimental philosophy, because of Hornsby's illness. When Robertson succeeded Hornsby in 1810, Rigaud was appointed to the geometry chair; he succeeded his father at Kew in 1814, becoming joint observer with his grandfather. He succeeded Robertson in the astronomy and experimental philosophy positions in 1827. His wife died in the same year, and Rigaud devoted himself to his children and his work; he has been described as "the foremost historian of astronomy and mathematics in his generation", and as "renowned for his personal and scholarly integrity".
1827–1860 Oriel College Powell carried out experiments in the areas of heat and light when he was a parish priest in Kent and London, although he found it difficult to keep abreast with mathematical advances in physics and some of the papers he offered to the Royal Society
Royal Society
The Royal Society of London for Improving Natural Knowledge, known simply as the Royal Society, is a learned society for science, and is possibly the oldest such society in existence. Founded in November 1660, it was granted a Royal Charter by King Charles II as the "Royal Society of London"...

 in the 1830s had considerable mistakes. He resigned his parish position when appointed to the chair, and was an active member of scientific organisations and commissions, with many publications to his credit. He was also noted for his stance on theological issues, opposing the work of the Oxford movement
Oxford Movement
The Oxford Movement was a movement of High Church Anglicans, eventually developing into Anglo-Catholicism. The movement, whose members were often associated with the University of Oxford, argued for the reinstatement of lost Christian traditions of faith and their inclusion into Anglican liturgy...

 (a group within the Church of England
Church of England
The Church of England is the officially established Christian church in England and the Mother Church of the worldwide Anglican Communion. The church considers itself within the tradition of Western Christianity and dates its formal establishment principally to the mission to England by St...

, sometimes referred to as "Tractarians", who aimed to reform the church by reasserting its links with the early Catholic church), denying miracles and defending the theories of Charles Darwin
Charles Darwin
Charles Robert Darwin FRS was an English naturalist. He established that all species of life have descended over time from common ancestry, and proposed the scientific theory that this branching pattern of evolution resulted from a process that he called natural selection.He published his theory...

. He advocated reform within the university, including improving the position of scientific studies, but opposition to his stance left him isolated at Oxford. He moved to London in 1854, and mixed with leading individuals from science and literature. One of his sons was Robert Baden-Powell
Robert Baden-Powell, 1st Baron Baden-Powell
Robert Stephenson Smyth Baden-Powell, 1st Baron Baden-Powell, Bt, OM, GCMG, GCVO, KCB , also known as B-P or Lord Baden-Powell, was a lieutenant-general in the British Army, writer, and founder of the Scout Movement....

, the founder of the Scout Movement.
1861–1883 Balliol College
Balliol College, Oxford
Balliol College , founded in 1263, is one of the constituent colleges of the University of Oxford in England but founded by a family with strong Scottish connections....

Balliol College
Balliol College, Oxford
Balliol College , founded in 1263, is one of the constituent colleges of the University of Oxford in England but founded by a family with strong Scottish connections....

 and Corpus Christi College
Corpus Christi College, Oxford
Corpus Christi College is one of the constituent colleges of the University of Oxford in the United Kingdom...

Smith's undergraduate studies at Oxford were interrupted by smallpox
Smallpox
Smallpox was an infectious disease unique to humans, caused by either of two virus variants, Variola major and Variola minor. The disease is also known by the Latin names Variola or Variola vera, which is a derivative of the Latin varius, meaning "spotted", or varus, meaning "pimple"...

 and malaria
Malaria
Malaria is a mosquito-borne infectious disease of humans and other animals caused by eukaryotic protists of the genus Plasmodium. The disease results from the multiplication of Plasmodium parasites within red blood cells, causing symptoms that typically include fever and headache, in severe cases...

, but he studied in Paris during his convalescence and obtained first-class degrees in classics
Literae Humaniores
Literae Humaniores is the name given to an undergraduate course focused on Classics at Oxford and some other universities.The Latin name means literally "more humane letters", but is perhaps better rendered as "Advanced Studies", since humaniores has the sense of "more refined" or "more learned",...

 and also in mathematics in the same year. A fellow and lecturer in mathematics at Balliol, Smith also oversaw the college's laboratory and taught chemistry; he also arranged for lectures in mathematics to be given jointly with other colleges, a system that was adopted by other colleges and subjects and later grew into a university-based lecture system. From 1874, he was also Keeper of the Oxford University Museum of Natural History
Oxford University Museum of Natural History
The Oxford University Museum of Natural History, sometimes known simply as the Oxford University Museum, is a museum displaying many of the University of Oxford's natural history specimens, located on Parks Road in Oxford, England. It also contains a lecture theatre which is used by the...

. He was heavily involved with university committees, advocating the place of science and mathematics at Oxford, and with royal commission
Royal Commission
In Commonwealth realms and other monarchies a Royal Commission is a major ad-hoc formal public inquiry into a defined issue. They have been held in various countries such as the United Kingdom, Australia, Canada, New Zealand, and Saudi Arabia...

s on scientific instruction and on universities. His mathematical research in geometry, elliptic function
Elliptic function
In complex analysis, an elliptic function is a function defined on the complex plane that is periodic in two directions and at the same time is meromorphic...

 theory and (in particular) number theory
Number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...

 was highly regarded.
1883–1894 University of London
University of London
-20th century:Shortly after 6 Burlington Gardens was vacated, the University went through a period of rapid expansion. Bedford College, Royal Holloway and the London School of Economics all joined in 1900, Regent's Park College, which had affiliated in 1841 became an official divinity school of the...

 and University of Cambridge
University of Cambridge
The University of Cambridge is a public research university located in Cambridge, United Kingdom. It is the second-oldest university in both the United Kingdom and the English-speaking world , and the seventh-oldest globally...

 (St John's College
St John's College, Cambridge
St John's College is a constituent college of the University of Cambridge. The college's alumni include nine Nobel Prize winners, six Prime Ministers, three archbishops, at least two princes, and three Saints....

)
New College
New College, Oxford
New College is one of the constituent colleges of the University of Oxford in the United Kingdom.- Overview :The College's official name, College of St Mary, is the same as that of the older Oriel College; hence, it has been referred to as the "New College of St Mary", and is now almost always...

Sylvester started at the University of London aged 14 but left after allegedly assaulting another student; he later studied at Cambridge and was Second Wrangler (second in the university mathematics examinations) but could not be awarded a degree or prizes, or be made a college fellow, because he was Jewish. He then became professor of natural philosophy at University College, London for three years before moving to the University of Virginia
University of Virginia
The University of Virginia is a public research university located in Charlottesville, Virginia, United States, founded by Thomas Jefferson...

 in 1841, resigning after a dispute with university authorities in 1842. Back in England, he worked as an actuary
Actuary
An actuary is a business professional who deals with the financial impact of risk and uncertainty. Actuaries provide expert assessments of financial security systems, with a focus on their complexity, their mathematics, and their mechanisms ....

, carrying out mathematical research in elimination theory
Elimination theory
In commutative algebra and algebraic geometry, elimination theory is the classical name for algorithmic approaches to eliminating between polynomials of several variables....

 in his spare time, before appointment as professor of mathematics at Royal Military Academy, Woolwich, in 1855. After compulsory retirement aged 55, he spent a few years writing poetry and enjoying his club
Gentlemen's club
A gentlemen's club is a members-only private club of a type originally set up by and for British upper class men in the eighteenth century, and popularised by English upper-middle class men and women in the late nineteenth century. Today, some are more open about the gender and social status of...

 before returning to the United States in 1876 as professor of mathematics at the newly opened Johns Hopkins University
Johns Hopkins University
The Johns Hopkins University, commonly referred to as Johns Hopkins, JHU, or simply Hopkins, is a private research university based in Baltimore, Maryland, United States...

, in Baltimore, Maryland. The move reinvigorated his research on invariant theory
Invariant theory
Invariant theory is a branch of abstract algebra dealing with actions of groups on algebraic varieties from the point of view of their effect on functions...

 and matrix theory; he published the results in the American Journal of Mathematics
American Journal of Mathematics
The American Journal of Mathematics is a bimonthly mathematics journal published by the Johns Hopkins University Press.- History :The American Journal of Mathematics is the oldest continuously-published mathematical journal in the United States, established in 1878 at the Johns Hopkins University...

, which he founded. During this time, he was awarded the Copley Medal
Copley Medal
The Copley Medal is an award given by the Royal Society of London for "outstanding achievements in research in any branch of science, and alternates between the physical sciences and the biological sciences"...

 by the Royal Society
Royal Society
The Royal Society of London for Improving Natural Knowledge, known simply as the Royal Society, is a learned society for science, and is possibly the oldest such society in existence. Founded in November 1660, it was granted a Royal Charter by King Charles II as the "Royal Society of London"...

. Homesick, he applied for the Savilian professorship (Oxford having lifted the bar on Jewish academics) and resigned from Johns Hopkins before receiving news of his appointment. He delayed his inaugural lecture until 1885 because he had difficulty finding a suitable topic. With his health failing, a deputy was appointed for him in 1892; he resigned in 1894. The Royal Society inaugurated the Sylvester Medal
Sylvester Medal
The Sylvester Medal is a bronze medal awarded by the Royal Society for the encouragement of mathematical research, and accompanied by a £1,000 prize...

 in his honour in 1901.
1897–1916 St John's College
St John's College, Oxford
__FORCETOC__St John's College is a constituent college of the University of Oxford, one of the larger Oxford colleges with approximately 390 undergraduates, 200 postgraduates and over 100 academic staff. It was founded by Sir Thomas White, a merchant, in 1555, whose heart is buried in the chapel of...

New College
New College, Oxford
New College is one of the constituent colleges of the University of Oxford in the United Kingdom.- Overview :The College's official name, College of St Mary, is the same as that of the older Oriel College; hence, it has been referred to as the "New College of St Mary", and is now almost always...

Esson, a fellow of Merton College
Merton College, Oxford
Merton College is one of the constituent colleges of the University of Oxford in England. Its foundation can be traced back to the 1260s when Walter de Merton, chancellor to Henry III and later to Edward I, first drew up statutes for an independent academic community and established endowments to...

 from 1860, acted as deputy professor from 1894 until his appointment in 1897, when he became a fellow of New College. His work with Augustus Harcourt
Augustus George Vernon Harcourt
Augustus George Vernon Harcourt FRS was an English chemist who spent his career at Oxford University. He was one of the first scientists to do quantitative work in the field of chemical kinetics...

 on the rate of chemical change (published in three papers in the Philosophical Transactions of the Royal Society
Philosophical Transactions of the Royal Society
The Philosophical Transactions of the Royal Society is a scientific journal published by the Royal Society of London. It was established in 1665, making it the first journal in the world exclusively devoted to science, and it has remained in continuous publication ever since, making it the world's...

, spread over 30 years) led to the award of fellowship of the Royal Society in 1869; one obituary notice said that the remainder of his publications were "neither numerous nor of great importance." In his obituary, The Times
The Times
The Times is a British daily national newspaper, first published in London in 1785 under the title The Daily Universal Register . The Times and its sister paper The Sunday Times are published by Times Newspapers Limited, a subsidiary since 1981 of News International...

called him "a distinguished veteran in mathematical science", who had "devoted himself to higher mathematics and its connexions with natural science with eminent success".
1919–1931 University of Cambridge
University of Cambridge
The University of Cambridge is a public research university located in Cambridge, United Kingdom. It is the second-oldest university in both the United Kingdom and the English-speaking world , and the seventh-oldest globally...

 (Trinity College
Trinity College, Cambridge
Trinity College is a constituent college of the University of Cambridge. Trinity has more members than any other college in Cambridge or Oxford, with around 700 undergraduates, 430 graduates, and over 170 Fellows...

)
New College
New College, Oxford
New College is one of the constituent colleges of the University of Oxford in the United Kingdom.- Overview :The College's official name, College of St Mary, is the same as that of the older Oriel College; hence, it has been referred to as the "New College of St Mary", and is now almost always...

Hardy was awarded a prize fellowship at Trinity College in 1900, and published the first of his research papers (which eventually totalled over 350) in the same year. His collaboration with J. E. Littlewood began in 1911, a partnership described as "the most famous in the history of mathematics", with more than 100 joint papers on topics such as distribution of prime number
Prime number
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2...

s, mathematical analysis
Mathematical analysis
Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series, and analytic functions...

, analytic number theory
Analytic number theory
In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It is often said to have begun with Dirichlet's introduction of Dirichlet L-functions to give the first proof of Dirichlet's theorem on arithmetic...

, and solving the Waring problem. He also worked with the Indian mathematical prodigy Srinivasa Ramanujan
Srinivasa Ramanujan
Srīnivāsa Aiyangār Rāmānujan FRS, better known as Srinivasa Iyengar Ramanujan was a Indian mathematician and autodidact who, with almost no formal training in pure mathematics, made extraordinary contributions to mathematical analysis, number theory, infinite series and continued fractions...

. He was a friend and colleague of the philosopher Bertrand Russell
Bertrand Russell
Bertrand Arthur William Russell, 3rd Earl Russell, OM, FRS was a British philosopher, logician, mathematician, historian, and social critic. At various points in his life he considered himself a liberal, a socialist, and a pacifist, but he also admitted that he had never been any of these things...

 and was upset by Russell's treatment by Cambridge for his pacifist views during the First World War. He was happier in Oxford, but returned to Cambridge in 1931 to take up the position of Sadleirian Professor of Pure Mathematics. His contribution to population genetics
Population genetics
Population genetics is the study of allele frequency distribution and change under the influence of the four main evolutionary processes: natural selection, genetic drift, mutation and gene flow. It also takes into account the factors of recombination, population subdivision and population...

 is known as the Hardy–Weinberg principle, described by a biographer of Hardy (the Cambridge mathematician Béla Bollobás
Béla Bollobás
Béla Bollobás FRS is a Hungarian-born British mathematician who has worked in various areas of mathematics, including functional analysis, combinatorics, graph theory and percolation. As a student, he took part in the first three International Mathematical Olympiads, winning two gold medals...

) as one of the few exceptions to Hardy's claim that nothing he had done, "for good or ill", had made or was likely to make "the least difference to the amenity of the world".
1931–1963 Balliol College
Balliol College, Oxford
Balliol College , founded in 1263, is one of the constituent colleges of the University of Oxford in England but founded by a family with strong Scottish connections....

New College
New College, Oxford
New College is one of the constituent colleges of the University of Oxford in the United Kingdom.- Overview :The College's official name, College of St Mary, is the same as that of the older Oriel College; hence, it has been referred to as the "New College of St Mary", and is now almost always...

Titchmarsh studied with Hardy and acted as his secretary before obtaining a lectureship at University College, London in 1923; he was also a non-resident fellow of Magdalen College, Oxford
Magdalen College, Oxford
Magdalen College is one of the constituent colleges of the University of Oxford in England. As of 2006 the college had an estimated financial endowment of £153 million. Magdalen is currently top of the Norrington Table after over half of its 2010 finalists received first-class degrees, a record...

 between 1924 and 1930. He was professor of pure mathematics at the University of Liverpool
University of Liverpool
The University of Liverpool is a teaching and research university in the city of Liverpool, England. It is a member of the Russell Group of large research-intensive universities and the N8 Group for research collaboration. Founded in 1881 , it is also one of the six original "red brick" civic...

 from 1929 until succeeding Hardy at Oxford in 1931. As Titchmarsh (unlike Hardy) had said when applying that he was unwilling to lecture on geometry, one of the requirements of the Oxford chair, the stipulation was removed for him. He was a leading figure in Oxford mathematics thereafter, publishing extensively and winning the Sylvester Medal
Sylvester Medal
The Sylvester Medal is a bronze medal awarded by the Royal Society for the encouragement of mathematical research, and accompanied by a £1,000 prize...

 of the Royal Society
Royal Society
The Royal Society of London for Improving Natural Knowledge, known simply as the Royal Society, is a learned society for science, and is possibly the oldest such society in existence. Founded in November 1660, it was granted a Royal Charter by King Charles II as the "Royal Society of London"...

 in 1955, but had little enthusiasm for lecturing.
1963–1969 University of Cambridge
University of Cambridge
The University of Cambridge is a public research university located in Cambridge, United Kingdom. It is the second-oldest university in both the United Kingdom and the English-speaking world , and the seventh-oldest globally...

 (Trinity College
Trinity College, Cambridge
Trinity College is a constituent college of the University of Cambridge. Trinity has more members than any other college in Cambridge or Oxford, with around 700 undergraduates, 430 graduates, and over 170 Fellows...

)
New College
New College, Oxford
New College is one of the constituent colleges of the University of Oxford in the United Kingdom.- Overview :The College's official name, College of St Mary, is the same as that of the older Oriel College; hence, it has been referred to as the "New College of St Mary", and is now almost always...

Atiyah taught and carried out research in Cambridge and in the United States (at Princeton University
Princeton University
Princeton University is a private research university located in Princeton, New Jersey, United States. The school is one of the eight universities of the Ivy League, and is one of the nine Colonial Colleges founded before the American Revolution....

, New Jersey
New Jersey
New Jersey is a state in the Northeastern and Middle Atlantic regions of the United States. , its population was 8,791,894. It is bordered on the north and east by the state of New York, on the southeast and south by the Atlantic Ocean, on the west by Pennsylvania and on the southwest by Delaware...

). He then moved to Oxford in 1961, initially as a Fellow of St Catherine's College
St Catherine's College, Oxford
St Catherine's College, often called Catz, is one of the constituent colleges of the University of Oxford in England. Its motto is Nova et Vetera...

 and Reader
Reader (academic rank)
The title of Reader in the United Kingdom and some universities in the Commonwealth nations like Australia and New Zealand denotes an appointment for a senior academic with a distinguished international reputation in research or scholarship...

 in Mathematics, before he succeeded Titchmarsh. He moved back to Princeton to take up a chair in 1969, although returned to Oxford in 1973 as Royal Society Research Professor. In 1990, he became Master of Trinity College, Cambridge (a post he held until 1997), and was later President of the Royal Society of Edinburgh
Royal Society of Edinburgh
The Royal Society of Edinburgh is Scotland's national academy of science and letters. It is a registered charity, operating on a wholly independent and non-party-political basis and providing public benefit throughout Scotland...

 (2005–2008). He was knighted in 1983 and made a member of the Order of Merit
Order of Merit
The Order of Merit is a British dynastic order recognising distinguished service in the armed forces, science, art, literature, or for the promotion of culture...

 in 1992. Mathematical awards include the Fields Medal
Fields Medal
The Fields Medal, officially known as International Medal for Outstanding Discoveries in Mathematics, is a prize awarded to two, three, or four mathematicians not over 40 years of age at each International Congress of the International Mathematical Union , a meeting that takes place every four...

 (1966) for his work on K-theory
K-theory
In mathematics, K-theory originated as the study of a ring generated by vector bundles over a topological space or scheme. In algebraic topology, it is an extraordinary cohomology theory known as topological K-theory. In algebra and algebraic geometry, it is referred to as algebraic K-theory. It...

 and the Atiyah–Singer index theorem
Atiyah–Singer index theorem
In differential geometry, the Atiyah–Singer index theorem, proved by , states that for an elliptic differential operator on a compact manifold, the analytical index is equal to the topological index...

 (work which has been used by theoretical physicists
Theoretical physics
Theoretical physics is a branch of physics which employs mathematical models and abstractions of physics to rationalize, explain and predict natural phenomena...

) and the Copley Medal
Copley Medal
The Copley Medal is an award given by the Royal Society of London for "outstanding achievements in research in any branch of science, and alternates between the physical sciences and the biological sciences"...

 of the Royal Society (1988).
1970–1995 The Queen's College
The Queen's College, Oxford
The Queen's College, founded 1341, is one of the constituent colleges of the University of Oxford in England. Queen's is centrally situated on the High Street, and is renowned for its 18th-century architecture...

New College
New College, Oxford
New College is one of the constituent colleges of the University of Oxford in the United Kingdom.- Overview :The College's official name, College of St Mary, is the same as that of the older Oriel College; hence, it has been referred to as the "New College of St Mary", and is now almost always...

After studying at Oxford, James moved to the United States to carry out research at Princeton University
Princeton University
Princeton University is a private research university located in Princeton, New Jersey, United States. The school is one of the eight universities of the Ivy League, and is one of the nine Colonial Colleges founded before the American Revolution....

 in New Jersey
New Jersey
New Jersey is a state in the Northeastern and Middle Atlantic regions of the United States. , its population was 8,791,894. It is bordered on the north and east by the state of New York, on the southeast and south by the Atlantic Ocean, on the west by Pennsylvania and on the southwest by Delaware...

 and at University of California, Berkeley
University of California, Berkeley
The University of California, Berkeley , is a teaching and research university established in 1868 and located in Berkeley, California, USA...

, returning to a research fellowship at Gonville and Caius College, Cambridge
Gonville and Caius College, Cambridge
Gonville and Caius College is a constituent college of the University of Cambridge in Cambridge, England. The college is often referred to simply as "Caius" , after its second founder, John Keys, who fashionably latinised the spelling of his name after studying in Italy.- Outline :Gonville and...

. In 1957, James became Reader
Reader (academic rank)
The title of Reader in the United Kingdom and some universities in the Commonwealth nations like Australia and New Zealand denotes an appointment for a senior academic with a distinguished international reputation in research or scholarship...

 in Pure Mathematics at Oxford, and also was a Senior Research Fellow at St John's College
St John's College, Oxford
__FORCETOC__St John's College is a constituent college of the University of Oxford, one of the larger Oxford colleges with approximately 390 undergraduates, 200 postgraduates and over 100 academic staff. It was founded by Sir Thomas White, a merchant, in 1555, whose heart is buried in the chapel of...

 from 1959 until his appointment to the Savilian professorship in 1970. He retired in 1995, becoming professor emeritus. His research topics were in the field of topology
Topology
Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...

, especially homotopy
Homotopy
In topology, two continuous functions from one topological space to another are called homotopic if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions...

, and he has also written on the history of topology and edited a journal on the subject.
1995–1996 University of Cambridge
University of Cambridge
The University of Cambridge is a public research university located in Cambridge, United Kingdom. It is the second-oldest university in both the United Kingdom and the English-speaking world , and the seventh-oldest globally...

 (Clare College
Clare College, Cambridge
Clare College is a constituent college of the University of Cambridge in Cambridge, England.The college was founded in 1326, making it the second-oldest surviving college of the University after Peterhouse. Clare is famous for its chapel choir and for its gardens on "the Backs"...

)
New College
New College, Oxford
New College is one of the constituent colleges of the University of Oxford in the United Kingdom.- Overview :The College's official name, College of St Mary, is the same as that of the older Oriel College; hence, it has been referred to as the "New College of St Mary", and is now almost always...

Taylor studied at Cambridge and in the United States at Princeton University
Princeton University
Princeton University is a private research university located in Princeton, New Jersey, United States. The school is one of the eight universities of the Ivy League, and is one of the nine Colonial Colleges founded before the American Revolution....

, New Jersey
New Jersey
New Jersey is a state in the Northeastern and Middle Atlantic regions of the United States. , its population was 8,791,894. It is bordered on the north and east by the state of New York, on the southeast and south by the Atlantic Ocean, on the west by Pennsylvania and on the southwest by Delaware...

, before becoming a fellow of Clare College in 1988. He moved to Oxford in 1995, but resigned after one year to take up a chair at Harvard University
Harvard University
Harvard University is a private Ivy League university located in Cambridge, Massachusetts, United States, established in 1636 by the Massachusetts legislature. Harvard is the oldest institution of higher learning in the United States and the first corporation chartered in the country...

. He has worked on Langlands program
Langlands program
The Langlands program is a web of far-reaching and influential conjectures that relate Galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local fields and adeles. It was proposed by ....

 and, with others, proved the Sato–Tate conjecture, and collaborated with Andrew Wiles
Andrew Wiles
Sir Andrew John Wiles KBE FRS is a British mathematician and a Royal Society Research Professor at Oxford University, specializing in number theory...

 on the solution to Fermat's last theorem
Fermat's Last Theorem
In number theory, Fermat's Last Theorem states that no three positive integers a, b, and c can satisfy the equation an + bn = cn for any integer value of n greater than two....

. He was awarded the Shaw Prize
Shaw Prize
The Shaw Prize is an annual award first presented by the Shaw Prize Foundation in 2004. Established in 2002 in Hong Kong, it honours living "individuals, regardless of race, nationality and religious belief, who have achieved significant breakthrough in academic and scientific research or...

 in 2007 (along with Robert Langlands
Robert Langlands
Robert Phelan Langlands is a mathematician, best known as the founder of the Langlands program. He is an emeritus professor at the Institute for Advanced Study...

) "for initiating and developing a grand unifying vision of mathematics that connects prime numbers with symmetry."
1997 onwards Jesus College
Jesus College, Oxford
Jesus College is one of the colleges of the University of Oxford in England. It is in the centre of the city, on a site between Turl Street, Ship Street, Cornmarket Street and Market Street...

 and Wolfson College
Wolfson College, Oxford
Wolfson College is a constituent college of the University of Oxford in England. Located in north Oxford along the River Cherwell, Wolfson is an all-graduate college with over sixty governing body fellows, in addition to both research and junior research fellows. It caters to a wide range of...

New College
New College, Oxford
New College is one of the constituent colleges of the University of Oxford in the United Kingdom.- Overview :The College's official name, College of St Mary, is the same as that of the older Oriel College; hence, it has been referred to as the "New College of St Mary", and is now almost always...

Hitchin taught in the United States at Princeton University
Princeton University
Princeton University is a private research university located in Princeton, New Jersey, United States. The school is one of the eight universities of the Ivy League, and is one of the nine Colonial Colleges founded before the American Revolution....

 in New Jersey
New Jersey
New Jersey is a state in the Northeastern and Middle Atlantic regions of the United States. , its population was 8,791,894. It is bordered on the north and east by the state of New York, on the southeast and south by the Atlantic Ocean, on the west by Pennsylvania and on the southwest by Delaware...

 and at New York University
New York University
New York University is a private, nonsectarian research university based in New York City. NYU's main campus is situated in the Greenwich Village section of Manhattan...

, then returned to Wolfson College for further research before becoming a fellow and tutor at St Catherine's College
St Catherine's College, Oxford
St Catherine's College, often called Catz, is one of the constituent colleges of the University of Oxford in England. Its motto is Nova et Vetera...

. He was a professor of mathematics at Warwick University before becoming Rouse Ball Professor of Mathematics
Rouse Ball Professor of Mathematics
The Rouse Ball Professorship of Mathematics is one of the senior chairs in the Mathematics Departments at the University of Cambridge and the University of Oxford. The two positions were founded in 1927 by a bequest from the mathematician W. W. Rouse Ball...

 at the University of Cambridge
University of Cambridge
The University of Cambridge is a public research university located in Cambridge, United Kingdom. It is the second-oldest university in both the United Kingdom and the English-speaking world , and the seventh-oldest globally...

 in 1994. His research areas include differential geometry, algebraic geometry
Algebraic geometry
Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex...

, Hyperkähler geometry
Hyperkähler manifold
In differential geometry, a hyperkähler manifold is a Riemannian manifold of dimension 4k and holonomy group contained in Sp In differential geometry, a hyperkähler manifold is a Riemannian manifold of dimension 4k and holonomy group contained in Sp(k) In differential geometry, a hyperkähler...

 and special Lagrangian geometry
Symplectic manifold
In mathematics, a symplectic manifold is a smooth manifold, M, equipped with a closed nondegenerate differential 2-form, ω, called the symplectic form. The study of symplectic manifolds is called symplectic geometry or symplectic topology...

.
The source of this article is wikipedia, the free encyclopedia.  The text of this article is licensed under the GFDL.
 
x
OK