Farkhod Eshmatov
Acting head of department, Professor
Email:
f.eshmatov@newuu.uzOffice number:
Reception days:
● Professor-AKFA University (Uzbekistan) -September 2021-Present
● Professor - Capital Normal University(Beijing,China)-December 2019-September 2021
● Professor - Sichuan University (Chengdu, China)-September 2012-December2019
● Visiting Professor - University of San Paulo (Brazil)- Spring 2014
● Visiting Professor - Indiana University (USA)- Spring 2013
● Visiting Professor - IHES (Paris, France)- Spring 2012
● Visiting Professor - MPIM (Bonn, Germany) September 2011- March 2012
● Assistant Professor - University of Michigan (Ann Arbor, USA), September 2007 - August 2011
● Representation theory of Algebras
● Homological Algebra
● Algebraic geometry
● Mathematical Physics
● Calculus at all levels
● Linear algebra
● Differential equations
● Partial Differential equations
● Abstract Algebra
● Representation theory
● Algebraic geometry
● Differential geometry
● Topology
● Algebraic Topology
● Homological algebra
● Twisted bi-symplectic structure on Koszul twisted Calabi-Yau algebras
● (with X. Chen, A. Eshmatov, L. Liu), Selecta Mathematica, 28 (3), (2022) 1-33.
● On transitive action on quiver varieties ( with X. Chen, A. Eshmatov, A. Tikaradze),
● International Mathematics Research Notices (10), (2022), 7694-7728.
● Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras,
● ( with X. Chen, Y. Chen, S Yang), Journal of Noncommutative Geometry,15 (3), (2021), 889-918.
● Calabi-Yau algebras and the shifted noncommutative symplectic structure (with X. Chen), Adv. Math. 367 (2020) 107126.
● Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras
● (with X. Chen, Y. Chen and S. Yang), J. Noncomm. Geom.
● Gravity algebra structure on the negative cyclic homology of Calabi-Yau algebras,
● (with X. Chen and L. Liu), J. Geom. Phys., 147 (2020) 103522.
● Derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras
● (with X. Chen, A. Eshmatov and S. Yang), Journal of Noncommutative Geometry, (2017), 111--160.
● 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.
● Dixmier groups and Borel subgroups (with Yu. Berest and A. Eshmatov), Adv. in Math.,
286 (2016) 387--429.
● Multitransitivity of Calogero--Moser spaces ( with Yu. Berest and A. Eshmatov),
● Transformation Groups, 21 (2016), no. 1, 35--50.
● 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.
● 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.
● Quantization of the Lie bialgebra of string topology (with X. Chen, and W. L. Gan),
● Commun. Math. Phys., 301 (2011), no. 1, 37-53.
● Heat Kernel Coefficients for Two-Dimensional Schrodinger Operators(with Y. Berest, T. Cramer) Commun. Math. Phys., 283 (2008), 853-860.
● Recollement of deformed preprojective algebras and the Calogero-Moser correspondence (with Yu. Berest and O. Chalykh), Mosc. Math. J., 8 (2008), 21-37.
● DG-models of projective modules and Nakajima quiver varieties. Homology, Homotopy and Applications, :2 (2007), 177-208.
● Non-Associative Algebras and Related Topics II. Department of Mathematics
● University of Coimbra, Portugal, 18-22 July 2022
● National Natural Science Foundation of China (No. 11271269). String topology and its applications to symplectic geometry and non-commutative geometry, Participant, 2013-2016.
● National Natural Science Foundation of China (No. 11671281). Some non-commutative geometric structures on Calabi-Yau categories}, Participant, 2017-2020.
● The University of Michigan Fellowship, Awarded each year by the University of Michigan Mathematics Department to Post-Doctoral Assistant Professors (2009).
● Eleanor Norton York Award, Awarded each year by Cornell Mathematics Department to one graduate student (2003).
● Presidential scholarship, Two-year fellowship to study abroad, awarded by Presidential Foundation to one graduate student in science each year (1998-2000).\
● Tashkent State University Award}
● For outstanding graduating senior mathematics major (1998).
● Derived Noncommutative Poisson Structures.
● Ind subgroups of affine Cremona group.
● On coordinate rings of Calogero-Moser spaces and commuting varieties.
● Noncommutative Noether's problem
