J. Hyam Rubinstein
Encyclopedia
J. Hyam Rubinstein an Australian mathematician
specializing in low-dimensional topology
, serving as a professor
in the Department of Mathematics
and Statistics
at the University of Melbourne
.
He has spoken and written widely on the state of the mathematical sciences in Australia, with particular focus on the impacts of reduced Government spending for university mathematics departments.
in Melbourne
, Australia
winning the maximum of four exhibition
s.
In 1969, he graduated from Monash University
in Melbourne
, Australia
with a B.Sc.(Honours) degree in mathematics
.
In 1974, he received his Ph.D.
from the University of California, Berkeley
under the advisorship of John Stallings. His dissertation was on the topic of Isotopies of Incompressible Surfaces in Three Dimensional Manifolds.
s and the closely related joint work with Pitts relating strongly irreducible Heegaard splitting
s to minimal surface
s, joint work with William Jaco on special triangulations of 3-manifold
s (namely 0-efficient and 1-efficient triangulations), and joint work with Martin Scharlemann on the Rubinstein-Scharlemann graphic. He is a key figure in the algorithmic theory of 3-manifolds, and one of the initial developers of Regina
which implements his 3-sphere
recognition algorithm.
His research interests also include: shortest networks
applied to underground mine design, machine learning
, learning theory
, financial mathematics, and stock market
trading systems.
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 low-dimensional topology
Low-dimensional topology
In mathematics, low-dimensional topology is the branch of topology that studies manifolds of four or fewer dimensions. Representative topics are the structure theory of 3-manifolds and 4-manifolds, knot theory, and braid groups. It can be regarded as a part of geometric topology.A number of...
, serving as a professor
Professor
A professor is a scholarly teacher; the precise meaning of the term varies by country. Literally, professor derives from Latin as a "person who professes" being usually an expert in arts or sciences; a teacher of high rank...
in the Department of Mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
and Statistics
Statistics
Statistics is the study of the collection, organization, analysis, and interpretation of data. It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments....
at the University of Melbourne
University of Melbourne
The University of Melbourne is a public university located in Melbourne, Victoria. Founded in 1853, it is the second oldest university in Australia and the oldest in Victoria...
.
He has spoken and written widely on the state of the mathematical sciences in Australia, with particular focus on the impacts of reduced Government spending for university mathematics departments.
Education
In 1965, he matriculated (i.e. graduated) from Melbourne High SchoolMelbourne High School
Melbourne High School is a selective entry state school for boys in years 9 to 12 located in the Melbourne suburb of South Yarra. Being a selective school, it is known mainly for its strong academic reputation...
in Melbourne
Melbourne
Melbourne is the capital and most populous city in the state of Victoria, and the second most populous city in Australia. The Melbourne City Centre is the hub of the greater metropolitan area and the Census statistical division—of which "Melbourne" is the common name. As of June 2009, the greater...
, Australia
Australia
Australia , officially the Commonwealth of Australia, is a country in the Southern Hemisphere comprising the mainland of the Australian continent, the island of Tasmania, and numerous smaller islands in the Indian and Pacific Oceans. It is the world's sixth-largest country by total area...
winning the maximum of four exhibition
Exhibition (scholarship)
-United Kingdom and Ireland:At the universities of Dublin, Oxford and Cambridge, and at Westminster School, Eton College and Winchester College, and various other UK educational establishments, an exhibition is a financial award or grant to an individual student, normally on grounds of merit. The...
s.
In 1969, he graduated from Monash University
Monash University
Monash University is a public university based in Melbourne, Victoria. It was founded in 1958 and is the second oldest university in the state. Monash is a member of Australia's Group of Eight and the ASAIHL....
in Melbourne
Melbourne
Melbourne is the capital and most populous city in the state of Victoria, and the second most populous city in Australia. The Melbourne City Centre is the hub of the greater metropolitan area and the Census statistical division—of which "Melbourne" is the common name. As of June 2009, the greater...
, Australia
Australia
Australia , officially the Commonwealth of Australia, is a country in the Southern Hemisphere comprising the mainland of the Australian continent, the island of Tasmania, and numerous smaller islands in the Indian and Pacific Oceans. It is the world's sixth-largest country by total area...
with a B.Sc.(Honours) degree in mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
.
In 1974, he received his Ph.D.
Ph.D.
A Ph.D. is a Doctor of Philosophy, an academic degree.Ph.D. may also refer to:* Ph.D. , a 1980s British group*Piled Higher and Deeper, a web comic strip*PhD: Phantasy Degree, a Korean comic series* PhD Docbook renderer, an XML renderer...
from the 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...
under the advisorship of John Stallings. His dissertation was on the topic of Isotopies of Incompressible Surfaces in Three Dimensional Manifolds.
Research interests
His major contributions include results involving almost normal Heegaard splittingHeegaard splitting
In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3-manifold that results from dividing it into two handlebodies.-Definitions:...
s and the closely related joint work with Pitts relating strongly irreducible Heegaard splitting
Heegaard splitting
In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3-manifold that results from dividing it into two handlebodies.-Definitions:...
s to minimal surface
Minimal surface
In mathematics, a minimal surface is a surface with a mean curvature of zero.These include, but are not limited to, surfaces of minimum area subject to various constraints....
s, joint work with William Jaco on special triangulations of 3-manifold
3-manifold
In mathematics, a 3-manifold is a 3-dimensional manifold. The topological, piecewise-linear, and smooth categories are all equivalent in three dimensions, so little distinction is made in whether we are dealing with say, topological 3-manifolds, or smooth 3-manifolds.Phenomena in three dimensions...
s (namely 0-efficient and 1-efficient triangulations), and joint work with Martin Scharlemann on the Rubinstein-Scharlemann graphic. He is a key figure in the algorithmic theory of 3-manifolds, and one of the initial developers of Regina
Regina (program)
Regina is a suite of mathematical software for 3-manifold topologists. It focuses upon the study of 3-manifold triangulations and includes support for normal surfaces and angle structures.- Features :...
which implements his 3-sphere
3-sphere
In mathematics, a 3-sphere is a higher-dimensional analogue of a sphere. It consists of the set of points equidistant from a fixed central point in 4-dimensional Euclidean space...
recognition algorithm.
His research interests also include: shortest networks
Shortest path problem
In graph theory, the shortest path problem is the problem of finding a path between two vertices in a graph such that the sum of the weights of its constituent edges is minimized...
applied to underground mine design, machine learning
Machine learning
Machine learning, a branch of artificial intelligence, is a scientific discipline concerned with the design and development of algorithms that allow computers to evolve behaviors based on empirical data, such as from sensor data or databases...
, learning theory
Learning theory
Learning theory may refer to:* Learning theory , the process of how humans learn** Behaviorism** Cognitivism** Constructivism** Connectivism* Computational learning theory, a mathematical theory to analyze machine learning algorithms...
, financial mathematics, and stock market
Stock market
A stock market or equity market is a public entity for the trading of company stock and derivatives at an agreed price; these are securities listed on a stock exchange as well as those only traded privately.The size of the world stock market was estimated at about $36.6 trillion...
trading systems.
Honours
- Past President of the Australian Mathematical SocietyAustralian Mathematical SocietyThe Australian Mathematical Society was founded in 1956 and is the national society of the mathematics profession in Australia. One of the Society's listed purposes is to promote the cause of mathematics in the community by representing the interests of the profession to government. The Society...
. - Chair of the Australian Committee for the Mathematical Sciences.
- Elected Fellow of the Australian Academy of ScienceAustralian Academy of ScienceThe Australian Academy of Science was founded in 1954 by a group of distinguished Australians, including Australian Fellows of the Royal Society of London. The first president was Sir Mark Oliphant. The Academy is modelled after the Royal Society and operates under a Royal Charter; as such it is...
in 2003. - Recipient of the Hannan MedalHannan MedalThe Hannan Medal in the Mathematical Sciences is awarded every two years by the Australian Academy of Science to recognize achievements by Australians in the fields of pure mathematics, applied and computational mathematics, and statistical science....
in 2004. - Recipient of the George Szekeres MedalGeorge Szekeres MedalThe George Szekeres Medal is awarded by the Australian Mathematical Society for outstanding research contributions over a fifteen-year period. This award, established in 2001, is given biennially in even-numbered years for work that has been carried out primarily in Australia.This medal...
in 2008.