John Friedlander
Encyclopedia
John Benjamin Friedlander is a Canadian mathematician
specializing in analytic number theory
. He received his B.Sc. from the University of Toronto
in 1965, an M.A. from the University of Waterloo
in 1966, and a Ph.D. from Pennsylvania State University
in 1972. He was a lecturer at M.I.T. in 1974-76, and has been on the faculty of the University of Toronto
since 1977, where he served as Chair during 1987-91. He has also spent several years at the Institute for Advanced Study
where he has collaborated with Enrico Bombieri
and many others.
In 1997, in joint work with Henryk Iwaniec
, Friedlander proved that infinitely many prime numbers can be obtained as the sum of a square and fourth power. Friedlander and Iwaniec improved Enrico Bombieri
's "asymptotic sieve" technique to construct their proof. In 1999, Friedlander received the Jeffery–Williams Prize
.
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
specializing in 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...
. He received his B.Sc. from the University of Toronto
University of Toronto
The University of Toronto is a public research university in Toronto, Ontario, Canada, situated on the grounds that surround Queen's Park. It was founded by royal charter in 1827 as King's College, the first institution of higher learning in Upper Canada...
in 1965, an M.A. from the University of Waterloo
University of Waterloo
The University of Waterloo is a comprehensive public university in the city of Waterloo, Ontario, Canada. The school was founded in 1957 by Drs. Gerry Hagey and Ira G. Needles, and has since grown to an institution of more than 30,000 students, faculty, and staff...
in 1966, and a Ph.D. from Pennsylvania State University
Pennsylvania State University
The Pennsylvania State University, commonly referred to as Penn State or PSU, is a public research university with campuses and facilities throughout the state of Pennsylvania, United States. Founded in 1855, the university has a threefold mission of teaching, research, and public service...
in 1972. He was a lecturer at M.I.T. in 1974-76, and has been on the faculty of the University of Toronto
University of Toronto
The University of Toronto is a public research university in Toronto, Ontario, Canada, situated on the grounds that surround Queen's Park. It was founded by royal charter in 1827 as King's College, the first institution of higher learning in Upper Canada...
since 1977, where he served as Chair during 1987-91. He has also spent several years at the Institute for Advanced Study
Institute for Advanced Study
The Institute for Advanced Study, located in Princeton, New Jersey, United States, is an independent postgraduate center for theoretical research and intellectual inquiry. It was founded in 1930 by Abraham Flexner...
where he has collaborated with Enrico Bombieri
Enrico Bombieri
Enrico Bombieri is a mathematician who has been working at the Institute for Advanced Study in Princeton, New Jersey. Bombieri's research in number theory, algebraic geometry, and mathematical analysis have earned him many international prizes --- a Fields Medal in 1974 and the Balzan Prize in 1980...
and many others.
In 1997, in joint work with Henryk Iwaniec
Henryk Iwaniec
Henryk Iwaniec is a Polish American mathematician, and since 1987 a professor at Rutgers University. He was awarded the fourteenth Frank Nelson Cole Prize in Number Theory in 2002. He received the Leroy P. Steele Prize for Mathematical Exposition in 2011.-Background and education:Iwaniec studied...
, Friedlander proved that infinitely many prime numbers can be obtained as the sum of a square and fourth power. Friedlander and Iwaniec improved Enrico Bombieri
Enrico Bombieri
Enrico Bombieri is a mathematician who has been working at the Institute for Advanced Study in Princeton, New Jersey. Bombieri's research in number theory, algebraic geometry, and mathematical analysis have earned him many international prizes --- a Fields Medal in 1974 and the Balzan Prize in 1980...
's "asymptotic sieve" technique to construct their proof. In 1999, Friedlander received the Jeffery–Williams Prize
Jeffery–Williams Prize
The Jeffery–Williams Prize is a mathematics award presented annually by the Canadian Mathematical Society. The award is presented to individuals in recognition of outstanding contributions to mathematical research. The first award was presented in 1968...
.