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. Biquantization of the necklace Lie bialgebra (with Huang, Liu and Zhang), https: //arxiv.org/abs/2604.02853, submitted
2. On the graded singularity category of Abelian quotient singularities, I. Smooth categorical compactification (with Jieheng Zeng), https://arxiv.org/abs/2507.19815, submitted.
3. Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories (with F. Eshmatov and M. Huang), https://arxiv.org/abs/ 2505.09378, submitted.
4. Singularity categories and singular loci of certain abelian quotient singularities (with Zeng)，J. London Math. Soc., Volume 112 Issue 5, Nov. 2025, https://doi.org/ 10.1112/jlms.70339.
5. Quantization of minimal nilpotent orbits and the quantum Hikita conjecture (with He and Yu), Represent. Theory, Volume 29, Pages 616–658 (September 19, 2025).
6. Tilting objects in singularity categories of certain toric Gorenstein varieties (with Liu and Zeng), J. Noncommut. Geom., https://doi.org/10.4171/JNCG/665.
7. Holomorphic Koszul-Brylinski homologies of Poisson blow-ups (with Y. Chen, S. Yang and X. Yang), Acta Mathematica Sinica, English Series, May 2025, Vol. 41, No. 5, pp. 1462–1490.
8. Batalin-Vilkovisky algebra structure on Poisson manifolds with diagonalizable modular symmetry (with Liu, Yu and Zeng), J. Geom. Phys. 189 (2023) 104829.
9. Twisted bi-symplectic structure on Koszul twisted Calabi-Yau algebras (with A. Eshmatov, F. Eshmatov and Liu), Selecta Math. (N.S.) 28 (2022), no. 3, Paper No. 62.
10. On transitive action on quiver varieties (with A. Eshmatov, F. Eshmatov and A. Tikaradze), Int. Math. Res. Notices (IMRN) Vol. 2022, No. 10, pp. 7694–7728.
11. Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras (joint with Y. Chen, F. Eshmatov and S. Yang), J. Noncommut. Geom. 15 (2021), 889–918.
12. Calabi-Yau algebras and the noncommutative shifted symplectic structure (with Eshmatov), Adv. Math. 367 (2020) 107126.
13. Gravity algebra structure on the negative cyclic homology of Calabi-Yau algebras (with Eshmatov and Liu), J. Geom. Phys. 147 (2020) 103522.
14. The shifted Poisson structure on derived representation schemes of Koszul Calabi-Yau algebras (with Y. Chen, A. Eshmatov and F. Eshmatov), Acta Sci. Natur. Univ. Sunyatseni 59 (2020), no. 5, 1–18.
15. A second order scheme for variable coefficient two-point value problems with non-fitting mesh and its application to tumor growth problems (with Sweidan and Zheng), J. Comput. Appl. Math. 376 (2020) 112874.
16. The derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras (with A. Eshmatov, F. Eshmatov and Yang), J. Noncommut. Geom. 11 (2017), 111–160.
17. Batalin-Vilkovisky algebras and the non-commutative Poincaré duality of Koszul Calabi-Yau algebras (with Yang and Zhou), J. Pure Appl. Algebra 220 (7), July 2016, Pages 2500–2532.
18. A double Poisson algebra structure on Fukaya categories (with Her, Sun and Yang), J. Geom. Phys. 98 (2015) 57–76.
19. Some Recent Progress in String Topology, Adv. Math. (China) (2015) 44 (5): 641–674.
20. Lie bialgebra on cyclic cohomology of Fukaya categories (with Her and Sun), Front. Math. China 2015, 10 (5): 1057–1085.
21. Noncommutative Poisson structures, derived representation schemes and Calabi-Yau algebras (with Berest, Eshmatov and Ramadoss), Contemp. Math. 586, 219–246 (2012).
22. An algebraic chain model of string topology, Trans. Amer. Math. Soc. Vol. 364, No. 5, May 2012, 2749–2781.
23. Quantization of the Lie bialgebra of string topology (with Eshmatov and Gan), Comm. Math. Phys. 301:1(2011), 37–53.
24. Batalin-Vilkovisky coalgebra of string topology (with Gan), Pacific J. Math. Vol. 247:1 (2010), 27–45

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