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.

Research Projects

1.        Cohomology, deformations and quantum homogeneous spaces of Hopf algebras, Natural Science Foundation of China, No. 11971418, 2020.01-2023.12

2.        Non-commutative Hodge decomposition for quantum homogeneous space cohomology and deformational significance, Natural Science Foundation of China, No. 11501492, 2016.01-2018.12

Publications

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

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

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

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

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

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

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

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

9.          Hopf Action on Calabi-Yau algebras. New trends in noncommutative algebra, 189-209, Contemporary Mathematics, Vol. 562, Amer. Math. Soc., Providence, RI, 2012 (with Quanshui Wu and Can Zhu)

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