farhod eshmatov 1

DR. FARKHOD ESHMATOV

Professor

School of Engineering

CONTACT INFO:

f.eshmatov[∂]akfauniversity.org

A254

Office Hours:
Tuesday 14:00-15:00
Wednesday 14:00-15:00

  • Professor at School of Engineering, AKFA University, Tashkent, Uzbekistan, January 2021 – Present
  • Doctor of Science in Mathematics and Physics, Secondary Doctorate, Habilitation, Tashkent, Uzbekistan, January 2021
  • Professor, Capital Normal University, 2019-2020
  • Professor, Sichuan University, Department of Mathematics, 2012–2019
  • Visiting Scholar, University of San Paulo, Spring 2014
  • Visiting Scholar, Indiana University, Spring 2013
  • Visiting Scholar, IHES , 2012 (April)
  • Visiting Scholar, MPIM at Bonn 2011-2012
  • Assistant Professor, University of Michigan, Department of Mathematics, 2007–2011
  • Cornell University, Ph.D. in Mathematics, 2007
  • Cornell University, MS in Mathematics, 2003
  • SUNY at Binghamton, MA in Mathematics, 2000
  • Tashkent State University, BS in Mathematics, 1998
  • Algebra
  • (Noncommutative) Algebraic Geometry
  • Integrable Systems
  • Infinite Dimensional Lie Algebras
  • Mathematical Physics
  • Algebraic geometry
  • Representation Theory

Work in progress:

  • Twisted bi-symplectic structure on Koszul twisted Calabi-Yau algebras, submitted to Math. Z. (joint X. Chen, A. Eshmatov and L.Liu)
  • Van den Bergh’s functor and the moduli stack of Calabi-Yau categories, in preparation (joint with X. Chen, A. Eshmatov and J. Zeng)
  • On algebras Morita equivalent to generalized Weyl algebras in preparation (joint with X. Chen, A. Eshmatov and V.Futorny)
  • Calculus 2 – AKFA University, Spring 2021
  • Group Representations, Commutative Algebra, Geometry and Topology, Calculus – Sichuan University, Fall 2012-2019
  • Math 116 (Calculus II), University of Michigan, Fall 2009
  • Math 215 (Calculus III), University of Michigan, Spring 2009
  • Math 217 (Linear Algebra), University of Michigan, Fall 2008
  • Math 216 (Differential Equations), University of Michigan, Summer 2008
  • Math 417 (Matrix Algebra I), University of Michigan, Spring 2008
  • Math 285 (Honors Multivariable Calculus), University of Michigan, Fall 2007
  • Math 112 (Calculus II), Cornell University, Fall 2005
  • Math 221 (Calculus I), SUNY (Binghamton), Spring 2000.
  • “DG-models of projective modules and Nakajima quiver varieties”, Homology, Homotopy and Applications, 9:2 (2007), 177–208.
  • “Recollement of deformed preprojective algebras and the Calogero-Moser correspondence” with Yu. Berest and O. Chalykh, Mosc. Math. J., 8:1 (2008), 21–37.
  • “Heat Kernel Coefficients for Two-Dimensional Schrodinger Operators” with Y. Berest, T. Cramer, Commun. Math. Phys., 283:3 (2008), 853–860.
  • “Quantization of the Lie bialgebra of string topology” with X. Chen, and W. L. Gan, Commun. Math. Phys., 301 (2011), no. 1, 37–53.
  • “On subgroups of the Dixmier group and Calogero-Moser spaces” with Yu. Berest and A. Eshmatov, Electronic Research Announcements in Mathematical Sciences (18) 2011, pp. 12–21.
  • “Noncommutative Poisson structures, derived representation schemes and Calabi-Yau algebras” with Yu. Berest, X. Chen, A. Ramadoss, Mathematical aspects of quantization, 219–246, Contemp. Math., 583, Amer. Math. Soc., Providence, RI, 2012.
  • “Multitransitivity of Calogero–Moser spaces” with Yu. Berest and A. Eshmatov, Transformation Groups, 21 (2016), no. 1, 35–50.
  • “Dixmier groups and Borel subgroups” with Yu. Berest and A. Eshmatov, Adv. in Math., 286 (2016) 387–429.
  • “Noncommutative Noether’s problem for complex reflection groups” with V. Futorny, S. Ovsienko and J. Schwarz, Proc. Amer. Math. Soc. 145 (2017), no. 12, 5043–5052.
  • “Derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras” with X. Chen, A. Eshmatov and S. Yang, Journal of Noncommutative Geometry, 11 (2017), 111–160.
  • “Gravity algebra structure on the negative cyclic homology of Calabi-Yau algebras” with X. Chen and L. Liu, J. Geom. Phys. 147 (2020) 103522.
  • “Calabi-Yau algebras and the shifted noncommutative symplectic structure” (joint with X. Chen), Adv. Math. 367 (2020) 107126.
  • “Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras” with X. Chen, Y. Chen and S. Yang, to be accepted by J. Noncomm. Geom.
  • “On transitive action on quiver varieties” with X. Chen, A. Eshmatov and A. Tikaradze, accepted in IMRN.
  • Conference on Lie and Jordan algebras, their representations and applications, January 6-11, 2020 Chengdu, China
  • First China-Central Asia Joint Meeting of Mathematicians, Sichuan University, Chengdu, China, 15-20 September, 2019
  • Program on Derived Algebraic Geometry, Institute of Mathematics of Toulouse and Sichuan University, October 7-25, 2019
  • CIMPA, Nonassociative algebras and application, Tashkent, Uzbekistan, 10/09/2018 to 21/09/2018
  • National Natural Science Foundation of China (No. 11271269) String topology and its applications to symplectic geometry and non-commutative geometry, Participant, 2013-2016.
  • 2. National Natural Science Foundation of China (No. 11671281) Some non-commutative geometric structures on Calabi-Yau categories, Participant, 2017-2020.