Essential Information

Name:Qin LI

Position:Associate Researcher

Highest DegreeDoctor of Philosophy in Mathematics

Telephoneoffice):

OfficeCFC 2307

Emailliqin@sustech.edu.cn

Research FieldMathematical foundation of Quantum Field Theory

 

Educational Background

2001-2005, University of Science and Technology of China,        

                      B.S. in Mathematics , USTC, July 2005

2005-2011, University of California at Berkeley

                      Ph.D. in Mathematics, UC Berkeley, May 2011

 

Working Experience

2011.9-2015.7 School of Mathematical Sciences, University of Science and Technology of China

Assistant Professor

2013.6-2015.7 Department of Mathematics, The Chinese University of Hong Kong

Postdoctoral fellow

2015.7-2021.9 Department of Mathematics, Southern University of Science and Technology

Assistant Professor

2021.10- present Institute for Quantum Sciences, Southern University of Science and Technology

Associate Researcher

 

Papers and Patents

(1).  “Bargmann-Fock sheaves on Kähler manifolds”, Communications in Mathematical Physics 388 (2021), no. 3, 1297–1322.

(2). “Quantization of Kähler manifolds”,  Journal of Geometry and Physics, 163 (2021), 104143, 13 pp

(3).  “One-dimensional Chern-Simons theory and deformation quantization”, accepted by ICCM Pro-ceedings 2018.

(4) . “BV quantization of the Rozansky-Witten model”, Communications in Mathematical Physics 355(2017), 97-144.

(5).  “Batalin-Vilkovisky quantization and the algebraic index”, Advances in Mathematics 317 (2017), 575-639.

(6).  “On the B-twisted topological sigma model and Calabi-Yau geometry”, Journal of Differential Geometry 102 (2016), no. 3, 409-484.

(7).  “Cardy algebras and sewing constraints, II” Advances in Mathematics 262 (2014), 604-681.

(8).  “On the B-twisted quantum geometry of Calabi-Yau manifolds”, Proceedings of ICCM 2013

(9).  “A geometric construction of representations of the Berezin-Toeplitz quantization”, submitted to Advances in Theoretical and  Mathematical Physics, available at arXiv:2001.10869.

(10).  “Kapranov’s L∞ structures, Fedosov’s star products, and one-loop exact BV quantizations on Kähler manifolds”, submitted to Communications in Number Theory and Physics, available at arXiv:2008.07057.