Chen Xiaojun

Prof. Xiaojun Chen is a mathematician specializing in noncommutative geometry, representation theory, and algebraic geometry. Over the past decade, he has held academic positions and engaged in collaborative research across China and internationally. He is widely recognized for his work on Calabi-Yau algebras, Poisson structures, and derived categories. Throughout his career, Prof. Chen has co-authored numerous high-impact papers and mentored early-career researchers in mathematical physics and pure mathematics.

1. X. Chen, He, Yu. Quantization of the minimal nilpotent orbits and the equivariant Hikita conjecture, arXiv:2302.13249 (Submitted)
2. X. Chen, Liu, Zeng. Tilting objects in singularity categories of some Gorenstein singularities, arXiv:2106.14161 (Submitted)
3. X. Chen, Y. Chen, S. Yang, X. Yang. Holomorphic Koszul-Brylinski homologies of Poisson blow-ups, arXiv:2202.09764 (Submitted)
4. X. Chen, Liu, Yu, Zeng. Batalin-Vilkovisky algebra structure on Poisson manifolds with diagonalizable modular symmetry, J. Geom. Phys. 189 (2023) 104829
5. X. Chen, A. Eshmatov, L. Liu. Twisted bi-symplectic structures on Koszul twisted Calabi-Yau algebras, Selecta Mathematica, 28 (3), 2022
6. X. Chen, A. Eshmatov, A. Tikaradze. On transitive actions on quiver varieties, Int. Math. Res. Notices 10 (2022), 7694–7728
7. X. Chen, Y. Chen, S. Yang. Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras, J. Noncommutative Geometry, 15 (3), 2021
8. X. Chen. Calabi-Yau algebras and the shifted noncommutative symplectic structure, Adv. Math. 367 (2020)
9. X. Chen, L. Liu. Gravity algebra structure on the negative cyclic homology of Calabi-Yau algebras, J. Geom. Phys. 147 (2020)
10. X. Chen, A. Eshmatov, S. Yang. Derived noncommutative Poisson bracket on Koszul Calabi-Yau algebras, J. Noncomm. Geom. 11 (2017)
11. X. Chen, Yu. Berest, V. Futorny, S. Ovsienko. Noncommutative Noether's problem for complex reflection groups, Proc. Amer. Math. Soc. 145 (2017)
12. X. Chen, Yu. Berest, A. Eshmatov. Dixmier groups and Borel subgroups, Adv. Math. 286 (2016)
13. X. Chen, Yu. Berest, A. Eshmatov. Multitransitivity of Calogero-Moser spaces, Transformation Groups, 21 (2016)
14. X. Chen, Yu. Berest, A. Ramadoss. Noncommutative Poisson structures and Calabi-Yau algebras, Contemp. Math. 583 (2012)
15. X. Chen, Yu. Berest, A. Eshmatov. On subgroups of the Dixmier group, Electron. Res. Announc. Math. Sci. 18 (2011)
16. X. Chen, W. L. Gan. Quantization of the Lie bialgebra of string topology, Commun. Math. Phys. 301 (2011)
17. X. Chen, Y. Berest, T. Cramer. Heat kernel coefficients for 2D Schrödinger operators, Commun. Math. Phys. 283 (2008)
18. X. Chen, Yu. Berest, O. Chalykh. Recollement of deformed preprojective algebras, Mosc. Math. J. 8 (2008)
19. X. Chen. DG-models of projective modules and Nakajima quiver varieties, Homology, Homotopy Appl. 2 (2007)

Workshops on noncommutative geometry

IHES (Paris), MPIM (Bonn), and other leading research institutes

Presentations at universities in China, Europe, and the US

Regular collaborator with researchers from the US, Germany, and France