| Edward Frenkel | |
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During a talk at University of California, Berkeley in September 2010.
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| Born | May 2, 1968 Russia, formerly USSR |
| Fields | Mathematics, Film |
| Institutions | Harvard University University of California, Berkeley |
| Alma mater | Harvard University |
| Known for | Contributions to the Langlands program, film "Rites of Love and Math" |
| Notable awards | Hermann Weyl Prize (2002) |
Edward Frenkel is a mathematician working in representation theory, algebraic geometry, and mathematical physics. He is currently Professor of Mathematics at University of California, Berkeley.
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Frenkel was not admitted to Moscow State University because of discrimination against Jews[1] and enrolled instead in the Applied Mathematics program at the Gubkin University of Oil and Gas. While a student there, he attended the seminar of Israel Gelfand and worked with Boris Feigin and Dmitry Fuchs. After receiving his college degree in 1989, he was first invited to Harvard University as a Visiting Professor, and a year later he enrolled as a graduate student at Harvard.[2] He received his Ph.D. from Harvard University in 1991, after one year of study, under the direction of Boris Feigin and Joseph Bernstein. He was a Junior Fellow at the Harvard Society of Fellows from 1991 to 1994, and served as Associate Professor at Harvard from 1994 to 1997. He has been Professor of Mathematics at University of California, Berkeley since 1997.
Jointly with Boris Feigin, Frenkel constructed the free field realizations of affine Kac-Moody algebras (these are also known as Wakimoto modules), defined the quantum Drinfeld-Sokolov reduction, and described the center of the universal enveloping algebra of an affine Kac-Moody algebra. The last result, often referred to as Feigin-Frenkel isomorphism, has been used by Alexander Beilinson and Vladimir Drinfeld in their work on the Geometric Langlands correspondence. Together with Nicolai Reshetikhin, Frenkel introduced deformations of W-algebras and q-characters of representations of quantum affine algebras.
Frenkel's recent work has focused on the Langlands program and its connections to representation theory, integrable systems, geometry, and physics. Together with Dennis Gaitsgory and Kari Vilonen, he has proved the geometric Langlands conjecture for GL(n). His joint work with Robert Langlands and Ngô Bảo Châu suggested a new approach to the functoriality of automorphic representations and trace formulas. He has also been investigating (in particular, in a joint work with Edward Witten) connections between the Geometric Langlands correspondence and dualities in quantum field theory. Frenkel's Erdős number is three.
Frenkel was the first recipient of the Hermann Weyl Prize in 2002. Among his other awards are Packard Fellowship in Science and Engineering and Chaire d'Excellence from Fondation Sciences mathématiques de Paris.
Frenkel has co-produced, co-directed (with Reine Graves) and played the lead in a short film "Rites of Love and Math", a homage to the film "Rite of Love and Death" (also known as "Yûkoku") by the Japanese writer Yukio Mishima. The film premiered in Paris in April, 2010 and was in the official competition of the Sitges International Film Festival in October, 2010. The screening of "Rites of Love and Math" in Berkeley on December 1, 2010 caused some controversy.[3][4]
He has also written (with Thomas Farber) a screenplay "The Two-Body Problem".