Summary

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. Frenkel 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. 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. 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 mathÃ©matiques de Paris.

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. Frenkel 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. 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. 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 mathÃ©matiques de Paris.

Current Institution | University of California, Berkeley |

Department | Mathematics |

Disciplines | Physical Sciences: Mathematics |

Birthday | May 2,1968 |

Address | 819 Evans Hall Berkeley California 94720-3840 United States Phone: (510) 642-6550 |

Office Hours | Tuesdays, 2:40-3:40 pm |

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Publication Summary

**Publications**

**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.

Recent Papers

- 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
- Weyl modules and opers without monodromy
- Quantization of soliton systems and Langlands duality
- Notes on instantons in topological field theory and beyond
- Gaudin models with irregular singularities
- Ramifications of the geometric Langlands Program
- Instantons beyond topological theory I
- Geometric realizations of Wakimoto modules at the critical level
- Localization of g^-modules on the affine Grassmannian
- Lectures on the Langlands Program and Conformal Field Theory
- Fusion and convolution: applications to affine Kac-Moody algebras at the critical level
- Local geometric Langlands correspondence and affine Kac-Moody algebras
- Mirror symmetry in two steps: A-I-B
- Gaudin model and opers
- Self-extensions of Verma modules and differential forms on opers
- Opers on the projective line, flag manifolds and Bethe Ansatz
- Chiral de Rham Complex and Orbifolds
- Affine Kac-Moody algebras, integrable systems and their deformations
- D-modules on the affine Grassmannian and representations of affine Kac-Moody algebras
- Recent Advances in the Langlands Program
- Geometric Realization of the Segal-Sugawara Construction
- Lectures on Wakimoto modules, opers and the center at the critical level
- Twisted Modules over Vertex Algebras on Algebraic Curves
- The Hopf algebra $Rep U_q \hat{gl}_\infty$
- The q-characters at roots of unity
- On the geometric Langlands conjecture
- Vertex Algebras and Algebraic Curves
- Combinatorics of q-characters of finite-dimensional representations of quantum affine algebras
- Whittaker Patterns in the Geometry of Moduli Spaces of Bundles on Curves
- Integrable Hierarchies and Wakimoto Modules
- Spectral Curves, Opers and Integrable Systems
- The q-characters of representations of quantum affine algebras and deformations of W-algebras
- Five lectures on soliton equations
- Deformations of W-algebras associated to simple Lie algebras
- Towards Deformed Chiral Algebras
- Drinfeld-Sokolov reduction for difference operators and deformations of W-algebras I. The case of Virasoro algebra
- Geometric Realization of Whittaker Functions and the Langlands Conjecture
- Geometric interpretation of the Poisson structure in affine Toda field theories
- Equivalence of Two Approaches to the mKdV Hierarchies
- Deformations of the KdV hierarchy and related soliton equations
- Quantum W-algebras and Elliptic Algebras
- Thermodynamic Bethe Ansatz and Dilogarithm Identities I
- Affine Algebras, Langlands Duality and Bethe Ansatz
- Quantum Affine Algebras and Deformations of the Virasoro and W-algebras

**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.

Books

Other Publications