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Edward Frenkel

Born

in Kolomna, Russian Federation

May 02, 1968

Website

http://math.berkeley.edu/~frenkel/

Twitter

edfrenkel

Genre

Mathematics, Science, Nonfiction

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Edward Frenkel (Russian: Эдвард Френкель, Edvard Frenkel'; born May 2, 1968) is a mathematician working in representation theory, algebraic geometry, and mathematical physics. He is a professor of mathematics at University of California, Berkeley.

Frenkel grew up in Kolomna, Russia to a family of Russian Jews. As a high school student he studied higher mathematics privately with Evgeny Evgenievich Petrov, although his initial interest was in quantum physics rather than mathematics.[1] He was not admitted to Moscow State University because of discrimination against Jews 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 wi Edward Frenkel (Russian: Эдвард Френкель, Edvard Frenkel'; born May 2, 1968) is a mathematician working in representation theory, algebraic geometry, and mathematical physics. He is a professor of mathematics at University of California, Berkeley.

Frenkel grew up in Kolomna, Russia to a family of Russian Jews. As a high school student he studied higher mathematics privately with Evgeny Evgenievich Petrov, although his initial interest was in quantum physics rather than mathematics.[1] He was not admitted to Moscow State University because of discrimination against Jews 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. He received his Ph.D. at Harvard University in 1991, after one year of study, under the direction of Joseph Bernstein. He was a Junior Fellow at the Harvard Society of Fellows from 1991 to 1994, and served as an associate professor at Harvard from 1994 to 1997. He has been a 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 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.

Frenkel's book Love and Math The Heart of Hidden Reality was published in October 2013. ...more

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Edward Frenkel’s books

Average rating: 3.7 · 4,047 ratings · 497 reviews · 9 distinct works • Similar authors

	Love and Math: The Heart of Hidden Reality 3.70 avg rating — 4,038 ratings — published 2013 — 2 editions	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Langlands Correspondence for Loop Groups (Cambridge Studies in Advanced Mathematics, Series Number 103) really liked it 4.00 avg rating — 5 ratings — published 2007 — 6 editions	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Vertex Algebras and Algebraic Curves (Mathematical Surveys and Monographs) (Mathematical Surveys & Monographs) by Edward Frenkel, David Ben-Zvi it was amazing 5.00 avg rating — 2 ratings — published 2001 — 3 editions	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Representation Theory and Complex Analysis by Michael Cowling, Edward Frenkel, Masaki Kashiwara 4.50 avg rating — 2 ratings — published 2008 — 3 editions	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	The Two-Body Problem [Revised] by Thomas Farber, Edward Frenkel it was amazing 5.00 avg rating — 1 rating — published 2010	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Integrable Systems and Quantum Groups: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini ... 1993 (Lecture Notes in Mathematics, 1620) by Ron Donagi, Boris Dubrovin, Edward Frenkel really liked it 4.00 avg rating — 1 rating — published 1995 — 2 editions	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Representation Theory, Mathematical Physics, and Integrable Systems: In Honor of Nicolai Reshetikhin (Progress in Mathematics, 340) by Anton Alekseev (editor), Edward Frenkel (Editor), Marc Rosso (Editor) 0.00 avg rating — 0 ratings — 5 editions	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Representation Theory and Complex Analysis: Lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 10-17, 2004 (Lecture Notes in Mathematics Book 1931) by Michael Cowling, Enrico Casadio Tarabusi (editor), Andrea D'Agnolo (editor) 0.00 avg rating — 0 ratings	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Integrable Systems and Quantum Groups: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini ... (Lecture Notes in Mathematics Book 1620) by Ron Donagi, Mauro Francaviglia (editor), Silvio Greco (editor) 0.00 avg rating — 0 ratings	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars

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Quotes by Edward Frenkel (?)

“Where there is no mathematics, there is no freedom.”
― Edward Frenkel, Love and Math: The Heart of Hidden Reality

tags: math, mathematics

11 likes

“Mathematics directs the flow of the universe, lurks behind its shapes and curves, holds the reins of everything from tiny atoms to the biggest stars.”
― Edward Frenkel, Love and Math: The Heart of Hidden Reality

8 likes

“People tend to think that mathematicians always work in sterile conditions, sitting around and staring at the screen of a computer, or at a ceiling, in a pristine office. But in fact, some of the best ideas come when you least expect them, possibly through annoying industrial noise.”
― Edward Frenkel, Love and Math: The Heart of Hidden Reality

tags: ideas, mathematicians, mathematics, science

8 likes

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Edward Frenkel’s Followers (89)

Edward Frenkel

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Combine Editions
Edward Frenkel’s books