Education and Professional Experience
March 2025–Present, Associate Professor, Teaching Center of Mathematics, Tsinghua University
December 2016–March 2025, Associate Professor, Department of Applied Mathematics, China Agricultural University
September 2014–September 2015, Visiting Scholar, Mathematical Institute of the University of Bonn, Germany
June 2011–December 2016, Lecturer, Department of Applied Mathematics, China Agricultural University
June 2009–June 2011, Postdoctoral Researcher, Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
September 2004–July 2009, Ph.D. in Mathematics, Tsinghua University
September 2000–July 2004, Bachelor of Science in Mathematics and Applied Mathematics, Tsinghua University
Teaching Experience
Long-term instructor for courses including Probability Theory and Mathematical Statistics, Abstract Algebra, and Topology, with an emphasis on integrating the history of mathematics into teaching. Received the Second Prize in the China Agricultural University Young Teacher Teaching Skills Competition; as a team member, received recognition for National First-Class Undergraduate Course, Excellent Award in the Beijing Higher Education Teaching Innovation Competition, Beijing Higher Education Quality Undergraduate Course, and Beijing Higher Education Quality Undergraduate Teaching Plan.
Research Experience
Research field: Representation theory of algebras, with significant contributions to Hall algebras and quantum groups, derived Hall algebras, and quantum cluster algebras. Published over 10 SCI papers in internationally renowned journals such as Trans. of AMS, Journal of Algebra, Science China Math. Led one NSFC Young Scientist Fund project and one NSFC General Program project as Principal Investigator (PI), and participated in two NSFC General Program projects (one ongoing).
Representative Works
Research Papers
(1) Shiquan Ruan, Jie Sheng, Haicheng Zhang, Lie algebras arising from 1-cyclic perfect complexes, Journal of Algebra, 2021, 586: 232-288
(2) Yong Jiang, Jie Sheng, An insight into the description of the crystal structure for Mirković-Vilonen polytopes, Transactions of the American Mathematical Society, 2017, 369: 6407-6427
(3) Jie Sheng, AR quivers, exceptional sequence and algorithms in derived Hall algebras, Science China Math., 2010, 53:1609-1624
Teaching Research Papers
(4) Xuhua Liu, Yanfei Wang, Jie Sheng, “A Note on the Ratio Distribution of Normal Random Variables,” University Mathematics, 2018, Issue 5, 89–92