Paul Balmer (born 1970) is a Swiss mathematician, working in Tensor triangular geometry, Algebraic geometry, Modular representation theory, Homotopy theory. He is a professor of mathematics at the

University of California, Los Angeles The University of California, Los Angeles (UCLA) is a public university, public Land-grant university, land-grant research university in Los Angeles, California, United States. Its academic roots were established in 1881 as a normal school the ...

. Balmer received his Ph.D. from the

University of Lausanne The University of Lausanne (UNIL; ) in Lausanne, Switzerland, was founded in 1537 as a school of Protestant theology, before being made a university in 1890. The university is the second-oldest in Switzerland, and one of the oldest universities ...

in 1998, under the supervision of Manuel Ojanguren, with a thesis entitled ''Groupes de Witt dérivés des Schémas'' (in French). His research centers around triangulated categories. More specifically, he is a proponent of tensor-triangular geometry, an umbrella topic which covers geometric aspects of

algebraic geometry Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of multivariate polynomials; th ...

modular representation theory Modular representation theory is a branch of mathematics, and is the part of representation theory that studies linear representations of finite groups over a field ''K'' of positive characteristic ''p'', necessarily a prime number. As well as h ...

stable homotopy theory In mathematics, stable homotopy theory is the part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain after sufficiently many applications of the suspension functor. A founding result was the ...

, and other areas, by means of relevant tensor-triangulated categories. Balmer was an Invited Speaker at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...

Hyderabad Hyderabad is the capital and largest city of the Indian state of Telangana. It occupies on the Deccan Plateau along the banks of the Musi River (India), Musi River, in the northern part of Southern India. With an average altitude of , much ...

in 2010, with a talk on ''Tensor Triangular Geometry''. In 2012, he became a 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, ...

. He was awarded the

Humboldt Prize The Humboldt Research Award (), also known informally as the Humboldt Prize, is an award given by the Alexander von Humboldt Foundation of Germany to internationally renowned scientists and scholars who work outside of Germany in recognition of ...

in 2015.

References

{{DEFAULTSORT:Balmer, Paul 1970 births 20th-century American mathematicians 21st-century American mathematicians Living people Fellows of the American Mathematical Society Swiss mathematicians University of Lausanne alumni University of California, Los Angeles faculty