Dr Farkhod Eshmatov, PhD, DSc

Professor

Department: Mathematics

Office: 253, Avicenna Hall

Email: f.eshmatov@akfauniversity.com

Office: 253, Avicenna Hall

Email: f.eshmatov@akfauniversity.com

Resume

- Professor of AU Engineering School, 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

- Algebra
- (Noncommutative) Algebraic Geometry
- Integrable Systems
- Infinite Dimensional Lie Algebras
- Mathematical Physics
- Algebraic geometry
- Representation Theory

- 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 1 – Central Asian University, Spring 2022
- Linear Algebra – Central Asian University, Fall 2021
- Calculus 2 – Central Asian 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

- “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.