Photo by Elizabeth Lippman

Edward Frenkel

Professor of Mathematics


Office:

819 Evans Hall
Department of Mathematics
University of California at Berkeley
Berkeley, CA 94720-3840
Email address: frenkel AT math.berkeley.edu


NEW! My New York Times bestselling book Love and Math has won the 2015 Euler Book Prize from the Mathematical Association of America

The paperback edition of Love and Math has been published

From Russia with Love, Math and Spirituality

Is the Universe a Simulation? my Op-Ed in The New York Times (it was No. 1 "most viewed")

How our 1,000-year-old math curriculum cheats America's kids my Op-Ed in The Los Angeles Times

Math: Your Secret Weapon Against Wall Street and the NSA interview in Mother Jones

Would Aliens Have the Same Math as Us? my public lecture at Oxford University



My book Love and Math has been named one of Amazon's Best Books of 2013 and one of iBooks Best of 2013

Brilliance Triumphs Over Rejection review of Love and Math in The New York Times

A Mathematical Romance review in The New York Review of Books

Love and Math: A Modern Russian's Lara Poem review in Huffington Post

It All Adds Up another review in The New York Times

Edward Frenkel and a Love for Math a profile in The Wall Street Journal

You may order hardcover here or here;

order e-book on Amazon (for Kindle), on Apple's iBooks (for iPad and iPhone), or on Google Books;

order audiobook here

Edward Frenkel on math: It's a lot like borscht interview in The Economist

What is It Like to be a Mathematician? interview with New Scientist re-published in Slate

Hot Berkeley Prof Gets His Kit off for Calculus interview with The Times of Israel

Can math be sexy? Q and A with Cal professor Edward Frenkel in The Daily Californian

Beauty and Mathematics interview on Guilded Birds

On reaching higher levels of abstraction interview with SF Weekly

Affection for Certainty conversation in Intercourse

UC Berkeley math professor interviewed by Stephen Colbert in The Daily Californian

An Axiom to Grind: Berkeley Prof's Formula for Fame is Making Math His (Steamy) Passion profile in California Magazine

Campus members elected to American Academy of Arts and Sciences

Radio Interviews:
Photo by Timothy Archibald

West Coast Live

NPR's Tech Nation

Science Friday interview

Inquiring Minds Podcast

All radio interviews

Love and Math has been named one of top 10 books of the month by The New Yorker and The Guardian

Read an excerpt from the book, entitled "The Holy Grail of Quantum Physics on Your Kitchen Table" in Scientific American

Another excerpt in The New Criterion (French translation in the magazine Commentaire)

And another one in The New York Times

Reviews: New York Times (Science Times), New York Review of Books, New York Times (Sunday Book Review), Huffington Post, Nature, Scientific American, Times Higher Education, WILMOTT, Maclean's, Publishers Weekly, Library Journal, American Scientist, Newsletter of London Math Society, Free Press, Minyaville, Not Even Wrong blog, Cocktail Party Physics blog, Brain Pickings blog

For more reviews and other updates, visit the Facebook Page of Love and Math


More Videos


My recent essays:

The Perils of Hacking Math in Slate

Don't Let Economists and Politicians Hack Your Math in Slate

A Day in the Life of a Mathematician in the Argentinian bilingual magazine Labor

The Nobel Prize in Physics Is Really a Nobel Prize in Math in The Atlantic

On the Rosetta stone of mathematics in Scientific American

Prime numbers, Internet security, and Pierre Fermat who was such a tease in Slate

Republicans Should Love 'Common Core' (with Hung-Hsi Wu) Op-Ed in The Wall Street Journal

Common Core Standards for Mathematics: The Real Issues (with Hung-Hsi Wu) in The Huffington Post

Don't Listen to E.O. Wilson in Slate

Math is more than the sum of its parts (with Ronald Ross) Op-Ed in New York Daily News

My review of Probably Approximately Correct in The New York Times

My review of Our Mathematical Universe in The New York Times

Interview in San Francisco Book Review


My research

focuses on various aspects of Symmetry in Mathematics and Physics. Recently, I have been exploring fascinating links between the Langlands Program and dualities in Quantum Physics.

Here are the videos of my lectures "An overview of the geometric Langlands Program" (at the Fields Medal Symposium, Toronto, 2012) and "What Do Fermat's Last Theorem and Electro-magnetic Duality Have in Common?" (at KITP, Santa Barbara, 2011) in which these topics are reviewed.

And here is a video summary of my Seminaire Bourbaki on this subject.


Complete bibliography


I spent the Spring semester of 2012 at Columbia University as the Samuel Eilenberg Visiting Professor, giving a series of lectures The Langlands Program and Quantum Field Theory.

Videos of these lectures are available here.


Film Rites of Love and Math

Video of the Q&A after the screening at the Berkeley Film Festival, where the film won a Grand Festival Award

For more information, visit this Web site.


Watch my Berkeley Calculus Lectures on YouTube


Here are the notes of my AMS Colloquium Lectures given at the 2012 Joint Mathematics Meetings in Boston, January 4-6, 2012


Screenplay The Two-Body Problem

A newly revised version has been published by Andrea Young Arts

Buy it on Amazon.com

The second Staged Reading of the theatrical adaptation, directed by Barbara Oliver, was held at the Aurora Theater in Berkeley on November 14, 2011.

Article in The Daily Californian


Books

Langlands Correspondence for Loop Groups

has been published by Cambridge University Press in June 2007. Fully hyperlinked electronic version of the book is available here.

Vertex Algebras and Algebraic Curves

(joint with David Ben-Zvi ) Second Edition was published by the American Mathematical Society in August of 2004.

Research Project "Geometric Langlands Program"

In 2003-2013 I was involved in running a Research Project dedicated to the investigation of the geometric Langlands Program, its relationship to other areas of mathematics, and its relationship to physics. It was funded by DARPA through its "Focus Areas in Theoretical Mathematics" Program. I was co-managing this project together with Kari Vilonen of Northwestern University. This site contains links to some of our past activities, such as the workshops that we have organized, and various resources on the Langlands Program.

As part of this project, I co-organized a Mini-Program "Gauge Theory and Langlands Duality" and a Conference "Dualities in Physics and Mathematics" at the Kavli Institute for Theoretical Physics (KITP) in Santa Barbara in 2008 and 2009. The talks are available online here and here.

The next conference in this series was "Langlands-Type Dualities in Quantum Field Theory", held at KITP in August 2010. Here is the video of my opening lecture. All talks are available here.

The most recent Program at KITP, "Nonperturbative Effects and Dualities in QFT and Integrable Systems", ran from July 5 to August 26, 2011.


Review Articles

More than the Sum of His Parts -- interview on "Indoor Boys".

Article in the Berkeley Science Matters on the Grand Unified Theory of Mathematics.

My Seminaire Bourbaki talk on Gauge Theory and Langlands duality.

Langlands Program and Physics - Lecture Notes on the Langlands duality and Conformal Quantum Field Theory.

Review of the Langlands Program that I wrote for the Bulletin of the American Mathematical Society .

Text of my lecture on the occasion of receiving the 2002 Hermann Weyl Prize at the XXIV Colloquium on Group Theoretical Methods in Physics .

My Seminaire Bourbaki talk on vertex algebras.

Gerard Laumon's talk at Seminaire Bourbaki about my joint work with D. Gaitsgory and K. Vilonen on the proof of the geometric Langlands conjecture.


My recent papers

Baxter's Relations and Spectra of Quantum Integrable Models

Geometric Langlands Correspondence Near Opers

The Langlands Program, Trace Formulas, and their Geometrization

Geometrization of Trace Formulas

Formule des Traces et Fonctorialite: le Debut d'un Programme

Soliton equations, vertex operators, and simple singularities

Gauge Theory and Langlands Duality

Gromov-Witten Gauge Theory I

Langlands duality for finite-dimensional representations of quantum affine algebras

A rigid irregular connection on the projective line

Any flat bundle on a punctured disc has an oper structure

Gerbal Representations of Double Loop Groups

Langlands duality for representations of quantum groups

Instantons beyond topological theory II

On the endomorphisms of Weyl modules over affine Kac-Moody algebras at the critical level

Opers with irregular singularity and spectra of the shift of argument subalgebra

D-modules on the affine flag variety and representations of affine Kac-Moody algebras

Local Geometric Langlands Correspondence: the Spherical Case

Geometric Endoscopy and Mirror Symmetry


More papers...


Complete bibliography


Editorial Boards

I am a member of the editorial boards of the following journals:

Letters in Mathematical Physics

Bulletin of the American Mathematical Society

International Mathematics Research Notices

Algebra and Number Theory

Annales mathematiques du Quebec

Transformation Groups

Documenta Mathematica


My Ph.D. students:

David Ben-Zvi (Ph.D. 1999)

Matthew Szczesny (Ph.D. 2002)

Peter Pribik (Ph.D. 2004)

A.J. Tolland (Ph.D. 2009)

Xinwen Zhu (Ph.D. 2009)

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