Edward Frenkel
Edward Frenkel | |
---|---|
Born | |
Alma mater | Gubkin University of Oil and Gas Harvard University |
Known for | Contributions to the Langlands program Rites of Love and Math (film) Love and Math (book) |
Awards | Hermann Weyl Prize (2002) Euler Book Prize (2015) |
Scientific career | |
Institutions | Harvard University University of California, Berkeley |
Doctoral advisor | Boris Feigin Joseph Bernstein |
Doctoral students | David Ben-Zvi Xinwen Zhu |
Edward Vladimirovich Frenkel (
Biography
Edward Frenkel was born on May 2, 1968, in
Mathematical work
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, sometimes called the Feigin–Frenkel center. 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
Awards
Frenkel was the first recipient of the
In 2013, he became a fellow of the American Mathematical Society, for "contributions to representation theory, conformal field theory, affine Lie algebras, and quantum field theory".[10]
In 2014, Frenkel was elected to the American Academy of Arts and Sciences.[1]
Filmmaking
Frenkel has co-produced, co-directed (with Reine Graves) and starred in a short film Rites of Love and Math, a homage to the film
He has also written (with Thomas Farber) a screenplay The Two-Body Problem.
He has appeared on the Numberphile YouTube series, created by Brady Haran.[13]
Love and Math
Frenkel's book Love and Math: The Heart of Hidden Reality was published in October 2013.[2] It was a New York Times bestseller,[14] and was the 2015 winner of the Euler Book Prize.[15] As of February 2016, it has been published in 16 languages.[16]
In a review published in The New York Review of Books, Jim Holt called Love and Math a "winsome new memoir" which is "three things: a Platonic love letter to mathematics; an attempt to give the layman some idea of its most magnificent drama-in-progress; and an autobiographical account, by turns inspiring and droll, of how the author himself came to be a leading player in that drama.”[17]
The New York Times review called the book "powerful, passionate and inspiring."[18]
Peter Woit, author of Not Even Wrong, wrote in a blog post:[20]
The Love of the title is much more about love of mathematics than love of another person, as Frenkel provides a detailed story of what it is like to fall in love with mathematics, then pursue this deeply, ending up doing mathematics at the highest level.
Select publications
- E. Frenkel, D. Gaitsgory and K. Vilonen: On the geometric Langlands conjecture, 2000.
- Recent Advances in the Langlands Program. 2003. Bibcode:2003math......3074F.
- E. Frenkel and D. Ben-Zvi: Vertex Algebras and Algebraic Curves, Mathematical Surveys and Monographs 88, Second Edition, American Mathematical Society 2004, ISBN 0-8218-3674-9.
- Lectures on the Langlands Program and Conformal Field Theory. Les Houches. 2005. arXiv:hep-th/0512172.
- Langlands Correspondence for Loop Groups. Cambridge Studies in Advanced Mathematics 103. Cambridge University Press. 2007. ISBN 978-0-521-85443-6.
- E. Frenkel and E. Witten: Geometric Endoscopy and Mirror Symmetry, 2007.
- Gauge Theory and Langlands Duality. Séminaire Bourbaki. 2009. arXiv:0906.2747.
- E. Frenkel, R. Langlands and B. C. Ngô: Formule des Traces et Fonctorialité: le Début d'un Programme, 2010.
- E. Frenkel and B. C. Ngô: Geometrization of Trace Formulas, 2010.
- "The Fifth problem: math & anti-Semitism in the Soviet Union". newcriterion.com. October 2012. Retrieved June 17, 2021.
- Love and Math: The Heart of Hidden Reality. Basic Books. 2013. ISBN 978-0-465-06995-8.
References
Citations
- ^ a b American Academy of Arts and Sciences Elects its 2014 Class of Members, April 23, 2014, archived from the original on July 10, 2017
- ^ a b c Frenkel 2013.
- ^ Ghert-Zand 2013.
- ^ Frenkel 2012.
- ^ Saul 1999, pp. 1217–1220.
- ^ Kolata 1990.
- ^ Edward Frenkel at the Mathematics Genealogy Project
- ICGTMP
- ^ "Edward Frenkel". packard.org. David and Lucile Packard Foundation. Retrieved April 13, 2023.
- ^ "2014 Class of Fellows of the AMS". American Mathematical Society. Retrieved April 15, 2023.
- ^ Bair 2010.
- ^ Ness 2010.
- ^ Sfali 2014.
- ^ "Science Bestsellers". New York Times. May 2014. Archived from the original on July 6, 2014.
- ^ "Euler Book Prize". Mathematical Association of America. Retrieved August 3, 2015.
- ^ Frenkel's website
- ^ Holt 2013.
- ^ Alexander 2013.
- ^ Devlin 2014.
- ^ "Love and Math". Not Even Wrong. September 19, 2013. Retrieved June 16, 2021.
Sources
- Alexander, Amir (November 18, 2013). "Brilliance Triumphs over Rejection". The New York Times.
- Bair, Madeleine (December 8, 2010). "Erotica, Intrigue, and Arithmetic in 'Rites of Love and Math'". East Bay Express.
- Devlin, Keith (January 15, 2014). "Love and Math: A Modern Russian's Lara Poem". Huffington Post.
- Ghert-Zand, Renee (October 14, 2013). "Hot Berkeley prof gets his kit off for calculus". timesofisrael.com. Retrieved June 16, 2021.
- Holt, Jim (December 5, 2013). "A Mathematical Romance". The New York Review of Books.
- Kolata, Gina (May 8, 1990). "Soviet Scientists Flock to U.S., Acting as Tonic for Colleges". The New York Times.
- Ness, Carol (November 30, 2010). "The true language of love? It's math, says Berkeley professor Edward Frenkel, whose steamy new film touches a nerve". UC Berkeley News Center.
- Saul, Mark (1999). "Kerosinka: an episode in the history of Soviet mathematics" (PDF). MR 1715582.
- Sfali, Adam (January 16, 2014). "Edward Frenkel : La NSA utilise les maths pour espionner les Emails". lemag.ma. Retrieved January 20, 2014.