Research Interests

My current research interests encompass both noncommutative ring theory and algebraic deformation theory. The topics which I am interested in at present are: noetherian Hopf algebras, skew Calabi-Yau algebras, Batalin-Vilkovisky algebras, Hochschild cohomology and deformations of mathematical objects arising from quantum groups, differential operator algebras, and/or schemes.

Education

o  2002.09-2006.09, Southeast University, Nanjing, B.S.

o  2006.09-2012.06, Fudan University, Shanghai, PhD.

Working Experience

o  2012.10-2015.09, University of Antwerp, Antwerp, Belgium, Postdoctoral Researcher, promoted by Wendy Lowen

o  2015.09-2016.09, Yangzhou University, Yangzhou, China, Lecturer

o  2016.09-present, Yangzhou University, Yangzhou, China, Associate Professor

Teaching

I teach linear algebra, probability and statistics,  advanced algebra, modern algebra for undergraduate students, and homological algebra, representation theory, matrix theory for graduate students.

Publications

1. A module structure on Hochschild cohomology of coideal subalgebras,  Bulletin of the Belgian Mathematical Society-Simon Stevin 30 (2023), 445-455  (with Lingchao Meng)

2. Batalin-Vilkovisky algebra structures on Hochschild cohomology of generalized Weyl algebras,  Frontiers of Mathematics in China 17 (2022), 915-941  (with Wen Ma)

3. Nakayama automorphisms of Ore extensions over polynomial algebras,  Glasgow Mathematical Journal 62 (2020),  518-530  (with Wen Ma)

4. Hochschild cohomology of projective hypersurfaces,  International Mathematics Research Notices 2019 (2019),  3076-3129  (with  Wendy Lowen)

5. On homological smoothness of generalized Weyl algebras over polynomial algebras in two variables, Journal of Algebra 498 (2018), 228-253

6. Non-commutative deformations and quasi-coherent modules,  Selecta Mathematica New Series 23 (2017),  1061-1119  (with Hoang Dihn Van and Wendy Lowen)

7. Homological smoothness and deformations of generalized Weyl algebras, Israel Journal of Mathematics 209 (2015), 949-992

8. Twisted Calabi-Yau property of Ore extensions,  Journal of Noncommutative Geometry 8 (2014),  587-609  (with Shengqiang Wang and Quanshui Wu)

9. Twisted Calabi-Yau property of right coideal subalgebras of quantized enveloping algebras,  Journal of Algebra 399  (2014),  1073-1085  (with Quanshui Wu)

10. Homological properties of Podleś quantum spheres,  Science China Mathematics 57 (2014),  69-80  (with Yunyi Shen and Quanshui Wu)

11. Hopf action on Calabi-Yau algebras.  New trends in noncommutative algebra, 189-209,  Contemporary Mathematics, Volumn 562,  American Mathematical Society, Providence, RI, 2012  (with Quanshui Wu and Can Zhu)

12. Rigid dualizing complexes over quantum homogeneous spaces, Journal of Algebra 353 (2012), 121-141  (with Quanshui Wu)