George Arthur Elliott (born 1945) is a Canadian mathematician specializing in

operator algebras In functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication given by the composition of mappings. The results obtained in the study o ...

K-theory In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or scheme. In algebraic topology, it is a cohomology theory known as topological K-theory. In algebra and algebraic geometr ...

, and

non-commutative geometry Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of ''spaces'' that are locally presented by noncommutative algebras of functions, possibly in some ge ...

. He is a professor at the

University of Toronto Department of Mathematics The University of Toronto Department of Mathematics is an academic department within the University of Toronto Faculty of Arts and Science, Faculty of Arts & Science at the University of Toronto. It is located at the university's University of To ...

, and holds a

Canada Research Chair Canada Research Chair (CRC) is a title given to certain Canadian university research professors by the Canada Research Chairs Program. Program goals The Canada Research Chair program was established in 2000 as a part of the Government of Canada ...

. He is best known for his work on classifying

C*-algebra In mathematics, specifically in functional analysis, a C∗-algebra (pronounced "C-star") is a Banach algebra together with an involution satisfying the properties of the adjoint. A particular case is that of a complex algebra ''A'' of contin ...

s, both for initiating their classification and highlighting the importance of K-theory in this respect. He was an

invited speaker at the International Congress of Mathematicians An invitation system is a method of encouraging people to join an organization, such as a Club (organization), club or a website. In regular society, it refers to any system whereby new members are chosen; they cannot simply apply. In relation to w ...

, Zurich–1994.

Awards and honours

* 1982 Elected as Fellow of

Royal Society of Canada The Royal Society of Canada (RSC; , SRC), also known as the Academies of Arts, Humanities, and Sciences of Canada (French: ''Académies des arts, des lettres et des sciences du Canada''), is the senior national, bilingual council of distinguishe ...

. * 1996 CRM/Fields Institute Prize * 1996-1998 Killam Research Fellow. * 1998

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 present ...

. * 1999

John L. Synge Award John L. Synge Award is an award by the Royal Society of Canada for outstanding research in any branch of the mathematical sciences. It was created in 1986 and is given at irregular intervals. The award is named in honor of John Lighton Synge. Win ...

. * 2012 Fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

. * 2019 Fellow of the

Canadian Mathematical Society The Canadian Mathematical Society (CMS; French: ''Société mathématique du Canada'') is an association of professional mathematicians dedicated to advancing mathematical research, outreach, scholarship and education in Canada. The Society se ...

References

External links

* Living people 1945 births Canadian mathematicians Academic staff of the University of Toronto Fellows of the Royal Society of Canada Canada Research Chairs Fellows of the American Mathematical Society Fellows of the Canadian Mathematical Society University of Toronto alumni Queen's University at Kingston alumni {{Mathematician-stub