Edward Frenkel - Publications

Affiliations: 
Mathematics University of California, Berkeley, Berkeley, CA, United States 
Area:
Representation theory, Integrable systems, Mathematical physics

58 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Frenkel E. Is There an Analytic Theory of Automorphic Functions for Complex Algebraic Curves Symmetry Integrability and Geometry-Methods and Applications. 16: 42. DOI: 10.3842/Sigma.2020.042  0.472
2019 Arakawa T, Frenkel E. Quantum Langlands duality of representations of ${\mathcal{W}}$ -algebras Compositio Mathematica. 155: 2235-2262. DOI: 10.1112/S0010437X19007553  0.373
2018 Frenkel E, Hernandez D. Spectra of Quantum KdV Hamiltonians, Langlands Duality, and Affine Opers Communications in Mathematical Physics. 362: 361-414. DOI: 10.1007/S00220-018-3194-9  0.37
2016 Frenkel E, Teleman C, Tolland AJ. Gromov-Witten gauge theory Advances in Mathematics. 288. DOI: 10.1016/J.Aim.2015.10.008  0.559
2016 Frenkel E, Gukov S, Teschner J. Surface operators and separation of variables Journal of High Energy Physics. 2016: 1-54. DOI: 10.1007/Jhep01(2016)179  0.381
2013 Frenkel E. Langlands program, trace formulas, and their geometrization Bulletin of the American Mathematical Society. 50: 1-55. DOI: 10.1090/S0273-0979-2012-01387-3  0.396
2012 Frenkel E, Zhu X. Gerbal representations of double loop groups International Mathematics Research Notices. 2012: 3929-4013. DOI: 10.1093/Imrn/Rnr159  0.622
2011 Frenkel E, Losev A, Nekrasov N. Instantons beyond topological theory. i Journal of the Institute of Mathematics of Jussieu. 10: 463-565. DOI: 10.1017/S1474748011000077  0.435
2011 Frenkel E, Hernandez D. Langlands Duality for Finite-Dimensional Representations of Quantum Affine Algebras Letters in Mathematical Physics. 96: 217-261. DOI: 10.1007/S11005-010-0426-0  0.389
2011 Frenkel E, Hernandez D. Langlands duality for representations of quantum groups Mathematische Annalen. 349: 705-746. DOI: 10.1007/S00208-010-0541-3  0.361
2010 Frenkel E, Zhu X. Any flat bundle on a punctured disc has an oper structure Mathematical Research Letters. 17: 27-37. DOI: 10.4310/Mrl.2010.V17.N1.A3  0.643
2010 Feigin B, Frenkel E, Rybnikov L. Opers with irregular singularity and spectra of the shift of argument subalgebra Duke Mathematical Journal. 155: 337-363. DOI: 10.1215/00127094-2010-057  0.437
2010 Feigin B, Frenkel E, Toledano Laredo V. Gaudin models with irregular singularities Advances in Mathematics. 223: 873-948. DOI: 10.1016/J.Aim.2009.09.007  0.447
2010 Frenkel E, Givental A, Milanov T. Soliton equations, vertex operators, and simple singularities Functional Analysis and Other Mathematics. 3: 47-63. DOI: 10.1007/S11853-010-0035-6  0.429
2010 Frenkel E. Gauge theory and langlands duality Asterisque. 369-403.  0.316
2009 Frenkel E, Gross B. A rigid irregular connection on the projective line Annals of Mathematics. 170: 1469-1512. DOI: 10.4007/Annals.2009.170.1469  0.448
2009 Frenkel E, Gaitsgory D. Localization of g{fraktur}-modules on the affine Grassmannian Annals of Mathematics. 170: 1339-1381. DOI: 10.4007/Annals.2009.170.1339  0.332
2009 Frenkel E, Gaitsgory D. D-modules on the affine flag variety and representations of affine Kac-Moody algebras Representation Theory. 13: 470-608. DOI: 10.1090/S1088-4165-09-00360-4  0.404
2009 Feigin B, Frenkel E, Rybnikov L. On the endomorphisms of weyl modules over affine kac-moody algebras at the critical level Letters in Mathematical Physics. 88: 163-173. DOI: 10.1007/S11005-009-0308-5  0.418
2008 Frenkel E, Witten E. Geometric endoscopy and mirror symmetry Communications in Number Theory and Physics. 2: 113-283. DOI: 10.4310/Cntp.2008.V2.N1.A3  0.398
2008 Frenkel E, Gaitsgory D. Geometric realizations of Wakimoto modules at the critical level Duke Mathematical Journal. 143: 117-203. DOI: 10.1215/00127094-2008-017  0.38
2007 Frenkel E, Szczesny M. Chiral de rham complex and orbifolds Journal of Algebraic Geometry. 16: 599-624. DOI: 10.1090/S1056-3911-07-00466-3  0.739
2007 Frenkel E, Losev A, Nekrasov N. Notes on instantons in topological field theory and beyond Nuclear Physics B - Proceedings Supplements. 171: 215-230. DOI: 10.1016/J.Nuclphysbps.2007.06.013  0.406
2007 Frenkel E, Losev A. Mirror symmetry in two steps: A-I-B Communications in Mathematical Physics. 269: 39-86. DOI: 10.1007/S00220-006-0114-1  0.343
2006 Frenkel E, Gaitsgory D. Fusion and convolution: applications to affine Kac-Moody algebras at the critical level Pure and Applied Mathematics Quarterly. 2: 1255-1312. DOI: 10.4310/Pamq.2006.V2.N4.A14  0.337
2006 Frenkel E, Teleman C. Self-extensions of Verma modules and differential forms on opers Compositio Mathematica. 142: 477-500. DOI: 10.1112/S0010437X05001958  0.436
2005 Frenkel E. Wakimoto modules, opers and the center at the critical level Advances in Mathematics. 195: 297-404. DOI: 10.1016/J.Aim.2004.08.002  0.484
2004 Frenkel E, Gaitsgory D. D-modules on the affine grassmannian and representations of affine Kac-Moody algebras Duke Mathematical Journal. 125: 279-327. DOI: 10.1215/S0012-7094-04-12524-2  0.377
2004 Frenkel E. Recent advances in the Langlands program Bulletin of the American Mathematical Society. 41: 151-184. DOI: 10.1090/S0273-0979-04-01001-8  0.341
2004 Frenkel E, Szczesny M. Twisted modules over vertex algebras on algebraic curves Advances in Mathematics. 187: 195-227. DOI: 10.1016/J.Aim.2003.07.019  0.743
2002 Frenkel E, Gaitsgory D, Vilonen K. On the geometric langlands conjecture Journal of the American Mathematical Society. 15: 367-417. DOI: 10.1090/S0894-0347-01-00388-5  0.456
2002 Frenkel E, Mukhin E. The Hopf algebra Rep $ U_{q} \widehat{\frak g \frak l}_\infty $ Selecta Mathematica-New Series. 8: 537-635. DOI: 10.1007/Pl00012603  0.346
2002 Frenkel E, Mukhin E. The hopf algebra rep $$U_q \widehat{\mathfrak{g}\mathfrak{l}}_\infty $$ Selecta Mathematica-New Series. 8: 537-635. DOI: 10.1007/Bf02637313  0.377
2002 Frenkel E, Mukhin E. The q-characters at roots of unity Advances in Mathematics. 171: 139-167. DOI: 10.1006/Aima.2002.2084  0.354
2002 Frenkel E, Mukhin E. The Hopf algebra Rep Uqgl∞ Selecta Mathematica, New Series. 8: 537-635.  0.327
2002 Frenkel E. Vertex algebras and algebraic curves Asterisque. 299-339.  0.351
2001 Ben-Zvi D, Frenkel E. Spectral curves, opers and integrable systems Publications MathéMatiques De L'IhéS. 94: 87-159. DOI: 10.1007/S10240-001-8193-1  0.377
2001 Frenkel E, Mukhin E. Combinatorics of q-characters of finite-dimensional representations of quantum affine algebras Communications in Mathematical Physics. 216: 23-57. DOI: 10.1007/S002200000323  0.394
1998 Enriquez B, Frenkel E. Geometric interpretation of the poisson structure in affine toda field theories Duke Mathematical Journal. 92: 459-495. DOI: 10.1215/S0012-7094-98-09214-6  0.358
1998 Frenkel E, Reshetikhin N, Semenov-Tian-Shansky MA. Drinfeld–Sokolov Reduction for Difference Operators and Deformations of \(\)-Algebras¶I. The Case of Virasoro Algebra Communications in Mathematical Physics. 192: 605-629. DOI: 10.1007/S002200050311  0.424
1998 Frenkel E, Reshetikhin N, Semenov-Tian-Shansky MA. Drinfeld-Sokolov reduction for difference operators and deformations of W-algebras I. The case of Virasoro algebra Communications in Mathematical Physics. 192: 605-629.  0.325
1996 Feigin B, Frenkel E. Quantum $\scr W$-algebras and elliptic algebras Communications in Mathematical Physics. 178: 653-677. DOI: 10.1007/Bf02108819  0.398
1996 Frenkel E, Reshetikhin N. Quantum affine algebras and deformations of the Virasoro and 237-1237-1237-1 Communications in Mathematical Physics. 178: 237-264. DOI: 10.1007/Bf02104917  0.393
1996 Feigin B, Frenkel E. Quantum Script W sign-algebras and elliptic algebras Communications in Mathematical Physics. 178: 653-678.  0.308
1996 Frenkel E, Reshetikhin N. Quantum affine algebras and deformations of the Virasoro and script w sign-algebras Communications in Mathematical Physics. 178: 237-264.  0.312
1995 Frenkel E, Szenes A. Crystal bases, dilogarithm identities, and torsion in algebraic K-theory Journal of the American Mathematical Society. 8: 629-664. DOI: 10.1090/S0894-0347-1995-1266736-4  0.337
1995 Feigin B, Frenkel E. Kac-Moody groups and integrability of soliton equations Inventiones Mathematicae. 120: 379-408. DOI: 10.1007/Bf01241134  0.405
1994 Feigin B, Frenkel E, Reshetikhin N. Gaudin model, Bethe Ansatz and critical level Communications in Mathematical Physics. 166: 27-62. DOI: 10.1007/Bf02099300  0.386
1992 Feigin B, Frenkel E. Affine Kac-Moody Algebras At The Critical Level And Gelfand-Dikii Algebras International Journal of Modern Physics A. 7: 197-215. DOI: 10.1142/S0217751X92003781  0.467
1992 Feigin B, Frenkel E. Free field resolutions in affine Toda field theories Physics Letters B. 276: 79-86. DOI: 10.1016/0370-2693(92)90544-E  0.391
1992 Frenkel E. Determinant formulas for the free field representations of the Virasoro and Kac-Moody algebras Physics Letters B. 286: 71-77. DOI: 10.1016/0370-2693(92)90160-6  0.395
1992 Feigin B, Frenkel E. Semi-infinite Weil complex and the Virasoro algebra Communications in Mathematical Physics. 147: 647-648. DOI: 10.1007/Bf02097247  0.485
1992 Frenkel E, Kac V, Wakimoto M. Characters and fusion rules for W-algebras via quantized Drinfeld-Sokolov reduction Communications in Mathematical Physics. 147: 295-328. DOI: 10.1007/Bf02096589  0.431
1991 Feigin B, Frenkel E. Duality in w-algebras International Mathematics Research Notices. 1991: 75-82. DOI: 10.1155/S1073792891000119  0.434
1990 Feigin B, Frenkel E. Quantization of the Drinfeld-Sokolov reduction Physics Letters B. 246: 75-81. DOI: 10.1016/0370-2693(90)91310-8  0.418
1990 Feigin B, Frenkel E. Bosonic ghost system and the Virasoro algebra Physics Letters B. 246: 71-74. DOI: 10.1016/0370-2693(90)91309-Y  0.417
1990 Geigin BL, Frenkel EV. Affine Kac-Moody algebras and semi-infinite flag manifolds Communications in Mathematical Physics. 128: 161-189. DOI: 10.1007/BF02097051  0.411
1990 Feigin BL, Frenkel EV. Representations of affine Kac-Moody algebras, bosonization and resolutions Letters in Mathematical Physics. 19: 307-317. DOI: 10.1007/BF00429950  0.346
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