Edward Frenkel
Edward Frenkel (born May 2, 1968 in Kolomna ) is a Russian-born American mathematician who deals with representation theory , algebraic geometry and mathematical physics .
Life
Frenkel was the victim of the harassing entrance exams that discriminated against Jewish students at Lomonosov University , and from 1984 studied at the University of Oil and Gas in Moscow and attended seminars with Israel Gelfand . While still in Moscow he developed the representations of Kac-Moody algebras known as Wakimoto modules with Boris Feigin . In 1991 he received his doctorate at Harvard under Joseph Bernstein (and Boris Feigin) with the dissertation Affine Kac-Moody Algebras At The Critical Level And Quantum Drinfeld-Sokolov Reduction . From 1995 to 1997 he was a Sloan Research Fellow . He is currently a professor at Berkeley .
Frenkel is one of the driving forces behind the development of the "Geometric Langlands Program", where he worked with Dennis Gaitsgory and Kari Vilonen . While the original Langlands program pursued the connections between automorphic representations and number theory , the geometric Langlands program is partly motivated by modern quantum field theory and models of statistical mechanics ( conformal field theories ).
David Ben-Zvi is one of his PhD students .
In 2002 he received the first Hermann Weyl Prize. In 1994 he was invited speaker at the International Congress of Mathematicians in Zurich (Free field realizations in representation theory and conformal field theory). In 2012 he was Samuel Eilenberg Lecturer at Columbia University . Frenkel is a member of the American Academy of Arts and Sciences . For 2015 he was awarded the Euler Book Prize . He is a fellow of the American Mathematical Society .
A film he made (he also plays one of the leading roles), which was inspired by Yukio Mishima and which he named Rites of love and math , based on his 1966 film , caused a scandal in Berkeley in 2010. In the advertising for the film, particularly erotic scenes were highlighted, which (together with the film theme of suicide) led to protests, so that the director of the MSRI Robert Bryant , who initially wanted to support the performance, had to cancel the support. The short film premiered in Paris in April 2010.
Fonts
- Langlands Correspondence for Loop Groups . In: Cambridge Studies in Advanced Mathematics , 103, Cambridge University Press, 2007, ISBN 978-0-521-85443-6 .
- With David Ben-Zvi: Vertex Algebras and Algebraic Curves . In: Mathematical Surveys and Monographs , 88, American Mathematical Society 2001, ISBN 0-8218-2894-0 .
- Lectures on the Langlands program and conformal field theory . In: Pierre Cartier u. a .: Frontiers in Number Theory, Physics and Geometry . Volume 2. Springer Verlag, 2007
- Frenkel: Vertex algebras and algebraic curves . In: Séminaire N. Bourbaki , 42, 1999-2000
- Frenkel: Recent Advances in the Langlands Program . 2003, arxiv : math.AG/0303074
- Frenkel: Lectures on the Langlands Program and Conformal Field Theory. Les Houches, 2005, arxiv : hep-th / 0512172
- Frenkel, Gaitsgory, Vilonen: On the geometric Langlands conjecture . 2001, arxiv : math.AG/0012255
- Frenkel: The Langlands program, trace formulas, and their geometrization . In: Bulletin AMS , Volume 50, 2013, pp. 1-55.
- Love and Math: The heart of hidden reality . Basic Books, 2013; German: love and mathematics . Springer Spectrum, 2014, ISBN 978-3-662-43420-8
literature
- “No freedom without math” . In: Die Zeit , No. 6/2015; Interview by Christoph Drösser with Edward Frenkel
Web links
Individual evidence
- ↑ His experiences are described by Mark Saul in Kerosinka , Notices AMS November 1999. On-line
- ↑ Edward Frenkel in the Mathematics Genealogy Project (English)
- ^ Past Fellows. Alfred P. Sloan Foundation, accessed August 15, 2019 .
- ^ Thomas Vogt: Rites of Love and Math - a film review . In: Communications DMV , 2011
| personal data | |
|---|---|
| SURNAME | Frenkel, Edward |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | May 2nd, 1968 |
| PLACE OF BIRTH | Kolomna |