Mikhail V. Finkelberg

2023¹

2022⁶

• Chapter Braverman A., Michael Finkelberg. A Quasi-Coherent Description of the Category D-mod(Gr(GL(n))), in: Representation Theory and Algebraic Geometry. Switzerland : Birkhauser/Springer, 2022. doi P. 133-149. doi
• Chapter Finkelberg M. V., Kapranov M., Schechtman V. Fourier-Sato Transform on Hyperplane Arrangements, in: Representation Theory and Algebraic Geometry. Switzerland : Birkhauser/Springer, 2022. doi Ch. 4. P. 87-131. doi
• Article Braverman A., Michael Finkelberg, Nakajima H. Kazhdan–Lusztig conjecture via zastava spaces // Journal fuer die reine und angewandte Mathematik. 2022. Vol. 2022. No. 787. P. 45-78. doi
• Article Finkelberg M. V., Kazhdan D., Varshavsky Y. Lusztig conjectures on S-cells in affine Weyl groups // Israel Journal of Mathematics. 2022. Vol. 247. No. 1. P. 379-404. doi
• Chapter Michael Finkelberg, Schechtman V. Microlocal Approach to Lusztig's Symmetries, in: Representation Theory and Algebraic Geometry. Switzerland : Birkhauser/Springer, 2022. doi P. 57-83. doi
• Article Braverman A., Michael Finkelberg, Travkin R. Orthosymplectic Satake equivalence // Communications in Number Theory and Physics. 2022. Vol. 16. No. 4. P. 695-732. doi

2021⁴

• Article Ilya Dumanski, Evgeny Feigin, Michael Finkelberg. Beilinson–Drinfeld Schubert varieties and global Demazure modules // Forum of Mathematics, Sigma. 2021. Vol. 9. P. 1-25. doi
• Article Finkelberg Michael, Fujita R. Coherent IC-sheaves on type A_n affine Grassmannians and dual canonical basis of affine type A_1 // Representation Theory. 2021. Vol. 25. P. 67-89. doi
• Article Braverman A., Michael Finkelberg, Nakajima H. Line bundles over Coulomb branches // Advances in Theoretical and Mathematical Physics. 2021. Vol. 25. No. 4. P. 957-993. doi
• Article Braverman A., Michael Finkelberg, Ginzburg V., Travkin R. Mirabolic Satake equivalence and supergroups // Compositio Mathematica. 2021. Vol. 157. No. 8. P. 1724-1765. doi

2020³

• Preprint Dumanski I., Feigin E., Finkelberg M. V. Beilinson-Drinfeld Schubert varieties and global Demazure modules / Cornell University. Series math "arxiv.org". 2020. No. 2003.12930.
• Article Braverman A., Etingof P., Michael Finkelberg. Cyclotomic double affine Hecke algebras // Annales Scientifiques de l'Ecole Normale Superieure. 2020. Vol. 53. No. 5. P. 1249-1312. doi
• Article Michael Finkelberg, Krylov V., Mirkovic I. Drinfeld-Gaitsgory-Vinberg interpolation Grassmannian and geometric Satake equivalence // Journal of Topology. 2020. Vol. 13. No. 2. P. 683-729. doi

2019¹¹

• Preprint Finkelberg M. V., Fujita R. Coherent IC-sheaves on type A_n affine Grassmannians and dual canonical basis of affine type A_1 / Cornell University. Series arXiv "math". 2019.
• Article Goncharov E. A., Finkelberg M. V. Coulomb Branch of a Multiloop Quiver Gauge Theory // Functional Analysis and Its Applications. 2019. Vol. 53. P. 241-249. doi
• Preprint Finkelberg M. V., Goncharov E. Coulomb branch of a multiloop quiver gauge theory / Cornell University. Series arXiv "math". 2019.
• Chapter Braverman A., Michael Finkelberg. Coulomb branches of 3-dimensional gauge theories and related structures, in: Geometric Representation Theory and Gauge Theory Vol. 2248. Switzerland : Springer, 2019. doi Ch. 1. P. 1-52. doi
• Article Braverman A., Michael Finkelberg, Nakajima H. Coulomb branches of 3d N = 4 quiver gauge theories and slices in the affine Grassmannian // Advances in Theoretical and Mathematical Physics. 2019. Vol. 23. No. 1. P. 75-166. doi
• Chapter Michael Finkelberg. DOUBLE AFFINE GRASSMANNIANS AND COULOMB BRANCHES OF 3dN = 4 QUIVER GAUGE THEORIES, in: Proceedings of the International Congress of Mathematicians 2018. World Scientific, 2019. doi P. 1279-1298. doi
• Book Braverman A., Michael Finkelberg, Negut A., Oblomkov A. Geometric Representation Theory and Gauge Theory Vol. 2248. Switzerland : Springer, 2019. doi
• Chapter Michael Finkelberg, Tsymbaliuk A. Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras, in: Representations and Nilpotent Orbits of Lie Algebraic Systems. In Honour of the 75th Birthday of Tony Joseph Vol. 330. Switzerland : Birkhauser/Springer, 2019. doi Ch. 6. P. 133-304. doi
• Article Braverman A., Michael Finkelberg, Nakajima H. Ring objects in the equivariant Satake category arising from Coulomb branches // Advances in Theoretical and Mathematical Physics. 2019. Vol. 23. No. 2. P. 253-344. doi
• Article Michael Finkelberg, Tsymbaliuk A. Shifted Quantum Affine Algebras: Integral Forms in Type A // Arnold Mathematical Journal. 2019. Vol. 5. No. 2-3. P. 197-283. doi
• Article Гончаров Е. А., Финкельберг М. В. Кулоновская ветвь многопетлевого колчана // Функциональный анализ и его приложения. 2019. Т. 53. № 4. С. 3-13. doi

2018⁹

• Preprint Finkelberg M. V., Braverman A. A quasi-coherent description of the the category of D-mod(Gr_GL(n)) / Cornell University. Series arXiv "math". 2018.
• Article Michael Finkelberg, Kamnitzer J., Pham K., Leonid Rybnikov, Weekes A. Comultiplication for shifted Yangians and quantum open Toda lattice // Advances in Mathematics. 2018. Vol. 327. P. 349-389. doi
• Preprint Finkelberg M. V., Braverman A. Coulomb branches of 3-dimensional gauge theories and related structures / Cornell University. Series arXiv "math". 2018.
• Preprint Krylov V., Finkelberg M. V. Drinfeld-Gaitsgory interpolation Grassmannian and geometric Satake equivalence (with appendix by Dennis Gaitsgory) / Cornell University. Series arXiv "math". 2018.
• Preprint Finkelberg M. V., Kapranov M., Schechtman V. Fourier transform on hyperplane arrangements / Cornell University. Series arXiv "math". 2018.
• Article Michael Finkelberg, Andrei Ionov. Kostka-Shoji polynomials and Lusztig's convolution diagram // Bulletin of the Institute of Mathematics Academia Sinica (New Series). 2018. Vol. 13. No. 1. P. 31-42. doi
• Preprint Finkelberg M. V., Tsymbaliuk A. Shifted quantum affine algebras: integral forms in type A (with appendices by Alexander Tsymbaliuk and Alex Weekes) / Cornell University. Series arXiv "math". 2018.
• Article Michael Finkelberg, Alexander Kuznetsov, Leonid Rybnikov, Dobrovolska G. Towards a cluster structure on trigonometric zastava // Selecta Mathematica, New Series. 2018. Vol. 24. No. 1. P. 187-225. doi
• Article Braverman A., Michael Finkelberg, Nakajima H. Towards a mathematical definition of Coulomb branches of 3-dimensional N = 4 gauge theories, II // Advances in Theoretical and Mathematical Physics. 2018. Vol. 22. No. 5. P. 1071-1147. doi

2017³

• Article Michael Finkelberg, Feigin E., Reineke M. Degenerate affine Grassmannians and loop quivers // Kyoto Journal of Mathematics. 2017. Vol. 57. No. 2. P. 445-474. doi
• Article Braverman A., Finkelberg M. V., Nakajima H. Instanton moduli spaces and V-Algebras // Asterisque. 2017
• Article Braverman A., Michael Finkelberg. Twisted zastava and q-Whittacker functions // Journal of London Mathematical Society. 2017. Vol. 96. No. 2. P. 309-325. doi

2016¹²

• Preprint Rybnikov L. G., Finkelberg M. V., Kamnitzer J., Weekes A., Pham K. Comultiplication for shifted Yangians and quantum open Toda lattice / Cornell University. Series arXiv:1608.03331 "Series math "arxiv.org"". 2016.
• Preprint Braverman A., Finkelberg M. V., Nakajima H. Coulomb branches of 3d =4 quiver gauge theories and slices in the affine Grassmannian / Cornell University. Series arXiv "math". 2016.
• Preprint Braverman A., Etingof P., Finkelberg M. V. Cyclotomic double affine Hecke algebras (with an appendix by Hiraku Nakajima and Daisuke Yamakawa) / Cornell University. Series arXiv "math". 2016.
• Article Braverman A., Dobrovolska G., Finkelberg M. V. Gaiotto–Witten superpotential and Whittaker D-modules on monopoles // Advances in Mathematics. 2016. Vol. 300. P. 451-472.
• Chapter Finkelberg M. V. Geometry and combinatorics of Kostka-Shoji polynomials, in: Oberwolfach reports Vol. 13. Issue 1. Zürich : European Mathematical Society Publishing house, 2016. doi P. 628-629.
• Book Braverman A., Finkelberg M. V., Nakajima H. Instanton moduli spaces and W-algebras Vol. 385. Societe Mathematique de France, 2016.
• Article Finkelberg M. V., Ginzburg V., Ionov A., Kuznetsov A. Intersection cohomology of the Uhlenbeck compactification of the Calogero-Moser space // Selecta Mathematica, New Series. 2016. Vol. 22. No. 4. P. 2491-2534. doi
• Preprint Finkelberg M. V., Ionov A. Kostka-Shoji polynomials and Lusztig's convolution diagram / Cornell University. Series arXiv "math". 2016.
• Article Finkelberg M. V., Bezrukavnikov R., Braverman A., Gaitsgory D. The Mathematics of Joseph Bernstein // Selecta Mathematica, New Series. 2016. Vol. 22. No. 4. P. 1793-1795. doi (in press)
• Article Finkelberg M. V., Kuznetsov A., Rybnikov L., Dobrovolska G. Towards a cluster structure on trigonometric zastava // Selecta Mathematica, New Series. 2016 doi (in press)
• Article Michael Finkelberg, Leonid Rybnikov, Alexander Kuznetsov, Dobrovolska G. Towards a cluster structure on trigonometric zastava // Selecta Mathematica, New Series. 2016. P. 1-39. doi (in press)
• Preprint Braverman A., Finkelberg M. V., Nakajima H. Towards a mathematical definition of Coulomb branches of 3-dimensional =4 gauge theories, II / Cornell University. Series math "arxiv.org". 2016.

2015⁴

• Preprint Finkelberg M. V., Ginzburg V., Ionov A., Kuznetsov A. Intersection cohomology of the Uhlenbeck compactification of the Calogero-Moser space / Cornell University. Series math "arxiv.org". 2015.
• Preprint Finkelberg M. V., Kuznetsov A., Rybnikov L. G., Dobrovolska G. Towards a cluster structure on trigonometric zastava / Cornell University. Series math "arxiv.org". 2015.
• Article Finkelberg M. V., Kubrak D. Vanishing cycles on Poisson varieties // Functional Analysis and Its Applications. 2015. Vol. 49. No. 2. P. 135-141. doi
• Article Кубрак Д. В., Финкельберг М. В. Исчезающие циклы на пуассоновых многообразиях // Функциональный анализ и его приложения. 2015. Т. 49. № 2. С. 70-78.

2014¹⁴

• Preprint Feigin E., Finkelberg M. V., Reineke M. Degenerate affine Grassmannians and loop quivers / Cornell University. Series math "arxiv.org". 2014. No. 1410.0777.
• Preprint Braverman A., Dobrovolska G., Michael Finkelberg. Gaiotto-Witten superpotential and Whittaker D-modules on monopoles / Cornell University. Series math "arxiv.org". 2014.
• Preprint Braverman A., Finkelberg M. V., Nakajima H. Instanton moduli spaces and $\mathscr W$-algebras / Cornell University. Series math "arxiv.org". 2014. No. 2381.
• Preprint Braverman A., Michael Finkelberg, Nakajima H. Instanton moduli spaces and W-algebras / Cornell University. Series math "arxiv.org". 2014.
• Chapter Alexander Braverman, Michael Finkelberg, Shiraishi J. Macdonald polynomials, Laumon spaces and perverse coherent sheaves, in: Contemporary Mathematics / Отв. ред.: P. Etingof, M. Khovanov, A. Savage. Vol. 610: Perspectives in Representation Theory. New Haven : Yale University Press, 2014. P. 23-41.
• Preprint Michael Finkelberg, Schechtman V. Microlocal approach to Lusztig's symmetries / Cornell University. Series math "arxiv.org". 2014.
• Article Finkelberg M. V., Rybnikov L. G. Quantization of Drinfeld Zastava in type A // Journal of the European Mathematical Society. 2014. Vol. 16. No. 2. P. 235-271.
• Article Finkelberg M. V., Rybnikov L. G. Quantization of Drinfeld Zastava in type С // Algebraic Geometry. 2014. Vol. 1. No. 2. P. 166-180.
• Article Braverman A., Finkelberg M. V. Semi-infinite Schubert varieties and quantum K-theory of flag manifolds // Journal of the American Mathematical Society. 2014. Vol. 27. No. 4. P. 1147-1168.
• Article Feigin E., Michael Finkelberg, Littelmann P. Symplectic Degenerate Flag Varieties // Canadian Journal of Mathematics. 2014. Vol. 66. No. 6. P. 1250-1286. doi
• Preprint Braverman A., Michael Finkelberg. Twisted zastava and q-Whittaker functions / Cornell University. Series math "arxiv.org". 2014.
• Article Michael Finkelberg, Braverman A. Weyl modules and q-Whittaker functions // Mathematische Annalen. 2014. Vol. 359. No. 1. P. 45-59. doi
• Article Vologodsky V., Finkelberg M. V., Bezrukavnikov R. Wreath Macdonald polynomials and categorical McKay correspondence // Cambridge Journal of Mathematics. 2014. Vol. 2. No. 2. P. 163-190. (in press)
• Article Bezrukavnikov R., Finkelberg M. V. Wreath Macdonald polynomials and the categorical McKay correspondence // Cambridge Journal of Mathematics. 2014. Vol. 2. No. 2. P. 163-190.

2013⁴

• Article Feigin E., Finkelberg M. V. Degenerate flag varieties of type A: Frobenius splitting and BW theorem // Mathematische Zeitschrift. 2013. Vol. 275. No. 1-2. P. 55-77. doi
• Article Finkelberg M. V. Laumon spaces / Пер. с англ. // MATHEMATICAL SCIENCES. 2013. Vol. 51. No. 596. P. 46-51.
• Article Braverman A., Michael Finkelberg. Pursuing the double affine Grassmannian III: Convolution with affine Zastava // Moscow Mathematical Journal. 2013. Vol. 13. No. 2. P. 233-265.
• Preprint Michael Finkelberg, Leonid Rybnikov. Quantization of Drinfeld Zastava in type C / Cornell University. Series math "arxiv.org". 2013.

2012⁸

• Article Braverman A., Finkelberg M. V., Kazhdan D. Affine Gindikin-Karpelevich Formula via Uhlenbeck Spaces // Springer Proceedings in Mathematics & Statistics. 2012. Vol. 9. P. 17-29.
• Article Bezrukavnikov R., Finkelberg M. V., Ostrik V. Character D-modules via Drinfeld center of Harish-Chandra bimodules // Inventiones Mathematicae. 2012. Vol. 188. No. 3. P. 589-620. doi
• Preprint Braverman A., Finkelberg M. V., Shiraishi J. Macdonald polynomials, Laumon spaces and perverse coherent sheaves / Cornell University. Series math "arxiv.org". 2012.
• Article Finkelberg M. V., Braverman A. Pursuing the double affine Grassmannian II. Convolution // Advances in Mathematics. 2012. No. 230. P. 414-432. doi
• Article Finkelberg M. V., Rybnikov L. G. Quantization of Drinfeld Zastavain type A // Journal of the European Mathematical Society. 2012 (in press)
• Preprint Finkelberg M. V., Kubrak D. Vanishing cycles on Poisson varieties / Cornell University. Series math "arxiv.org". 2012.
• Preprint Braverman A., Finkelberg M. V. Weyl modules and q-Whittaker functions / Cornell University. Series math "arxiv.org". 2012.
• Preprint Bezrukavnikov R., Finkelberg M. V. Wreath Macdonald polynomials and categorical McKay correspondence (with Appendices by Ivan Losev, Vadim Vologodsky) / Cornell University. Series math "arxiv.org". 2012. No. 1208.3696.

2011⁴

• Article Braverman A., Rybnikov L. G., Feigin B. L., Finkelberg M. V. A finite analog of the AGT relation I: finite W-algebras and quasimaps' spaces // Communications in Mathematical Physics. 2011. Vol. 308. No. 2. P. 457-478. doi
• Article Finkelberg M. V., Braverman A. Dynamical Weyl groups and equivariant cohomology of transversal slices on affine Grassmannians // Mathematical Research Letters. 2011. Vol. 18. No. 3. P. 505-512.
• Article Feigin B. L., Finkelberg M. V., Rybnikov L. G., Frenkel I. Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces // Selecta Mathematica, New Series. 2011. Vol. 17. No. 2. P. 337-361. doi
• Article Feigin B. L., Finkelberg M. V., Rybnikov L. G., Negut A. Yangians and cohomology rings of Laumon spaces // Selecta Mathematica, New Series. 2011. Vol. 17. No. 3. P. 573-607. doi

2010⁴

• Article Finkelberg M. V., Ginzburg V. Cherednik algebras for algebraic curves // Progress in Mathematics. 2010. No. 284. P. 121-153.
• Article Finkelberg M. V., Ginzburg V. On mirabolic D-modules // International Mathematics Research Notices. 2010. No. 15. P. 2947-2986. doi
• Article Braverman A., Finkelberg M. V. Pursuing the double affine Grassmannian I: Transversal slices via instantons on A_k-singularities // Duke Mathematical Journal. 2010. Vol. 152. No. 1. P. 175-206. doi
• Article Finkelberg M. V., Lysenko S. Twisted geometric Satake equivalence // Journal of the Institute of Mathematics Jussieu. 2010. Vol. 9. No. 4. P. 719-739.

2009¹

2008¹

2005²

• Article Finkelberg M. V., Bezrukavnikov R., Mirkovic I. Equivariant homology and K-theory of affie Grassmannians nd Toda latice // Compositio Mathematica. 2005. Vol. 141. No. 3. P. 746-768.
• Article Braverman A., Finkelberg M. V. Finite difference quantum Toda lattice via equivariant i^-theory,  // Transformation Groups. 2005. Vol. 10. No. 3-4. P. 1-23.

2003¹

2002²

• Article Ginzburg V., Finkelberg M. V. Calogero-Moser space and Kostka polynomials,  // Advances in Mathematics. 2002. Vol. 172. No. 1. P. 137-150.
• Article Mirkovic I., Finkelberg M. V., Braverman A., Gaitsgory D. Intersection cohomology of Drinfeld's compactifications // Selecta Mathematica, New Series. 2002. Vol. 8. No. 3. P. 381-418.

2000¹

1999¹

1998¹

1997¹

1996²

• Article Finkelberg M. V. An equivalence of fusion categories, Geometric and Functional Analysis // Geometric and Functional Analysis. 1996. Vol. 6. No. 2. P. 249-267.
• Article Schechtman V., Finkelberg M. V. Localization of modules over small quantum groups, // Journal of Mathematical Sciences. 1996. Vol. 82. No. 1. P. 3127-3164.

1995¹

1993¹

1990¹