Summary
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.
Igor Frenkel | |
|---|---|
| Born | April 22, 1952 |
| Nationality | Russian |
| Citizenship | American |
| Alma mater | Saint Petersburg State University Yale University |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Yale University |
| Doctoral advisor | Howard Garland |
| Doctoral students | Pavel Etingof Mikhail Khovanov Alexander Kirillov, Jr. |
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.[1] He is also a Fellow of the American Academy of Arts and Sciences.[2]
Mathematical work edit
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.[3][4]
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.[5]
A detailed description of Igor Frenkel's research over the years can be found in "Perspectives in Representation Theory".
References edit
- ^ "Six Yale professors elected to National Academy of Sciences". May 2018.
- ^ "Six Yale professors elected to National Academy of Sciences". May 2018.
- ^ Frenkel, Igor; Lepowsky, James; Meurman, Arne (1988). Vertex operator algebras and the Monster. Pure and Applied Mathematics. Vol. 134. Boston: Academic Press. ISBN 0-12-267065-5.
- ^ Ogg, Andrew (1991). "Review: Igor Frenkel, James Lepowsky and Arne Meurman,Vertex operator algebras and the Monster". Bull. Amer. Math. Soc. (N.S.). 25 (2): 425–432. doi:10.1090/s0273-0979-1991-16086-6.
- ^ Witten, Edward (Spring 2011), "Knots and Quantum Theory" (PDF), The Institute Letter, archived from the original (PDF) on 27 September 2011, retrieved 17 August 2011
External links edit
- Home page
- Igor Frenkel at the Mathematics Genealogy Project