Igor Frenkel

Russian mathematician
The basics

Quick Facts

IntroRussian mathematician
PlacesRussia United States of America
isMathematician Professor Educator
Work fieldAcademia Mathematics
Gender
Male
Birth22 April 1952, Saint Petersburg, Tsardom of Russia
Age72 years
Star signTaurus
ResidenceNew Haven, USA
Education
Saint Petersburg State University
Yale University
Awards
John Simon Guggenheim Memorial Foundation Fellowship 
Fellow of the American Academy of Arts and Sciences 
The details

Biography

Igor Borisovich Frenkel (Russian: Игорь Борисович Френкель; born April 22, 1952) is a Russian-American mathematician at Yale University working in representation theory and mathematical physics.

Frenkel emigrated to the United States in 1979. He received his PhD from Yale University in 1980 with a dissertation on the "Orbital Theory for Affine Lie Algebras". He held positions at the IAS and MSRI, and a tenured professorship at Rutgers University, before taking his current job of tenured professor at Yale University. He was elected to the National Academy of Sciences in 2018. He is also a Fellow of the American Academy of Arts and Sciences.

Mathematical work

In collaboration with James Lepowsky and Arne Meurman, he constructed the monster vertex algebra, a vertex algebra which provides a representation of the monster group.

Around 1990, as a member of the School of Mathematics at the Institute for Advanced Study, Frenkel worked on the mathematical theory of knots, hoping to develop a theory in which the knot would be seen as a physical object. He continued to develop the idea with his student Mikhail Khovanov, and their collaboration ultimately led to the discovery of Khovanov homology, a refinement of the Jones polynomial, in 2002.

A detailed description of Igor Frenkel's research over the years can be found in "Perspectives in Representation Theory".

The contents of this page are sourced from Wikipedia article on 18 Apr 2020. The contents are available under the CC BY-SA 4.0 license.