A PDF version can be found here.
Education
- Ph.D. in Mathematics, Rutgers, the State University of New Jersey, 2020-present
- Advisor: Prof. Lev Borisov
- B.S. in Mathematics, University of Science and Technology of China, 2016-2020
- Thesis Advisor: Prof. Xiao-Wu Chen
- Thesis Title: Fourier-Mukai Transforms and Derived McKay Correspondence
Research Interests
- Algebraic Geometry, especially mirror symmetry and related areas.
Publications and preprints
Elliptic genera of Pfaffian-Grassmannian double mirrors, in progress.
Stringy Hodge numbers of Pfaffian double mirrors and Homological Projective Duality. [arXiv:2409.17449]. Submitted.
Central charges in local mirror symmetry via hypergeometric duality. [arXiv:2404.16258]. Submitted.
Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms. Épijournal de Géométrie Algébrique, to appear. [arXiv:2305.12241]
On hypergeometric duality conjecture, with Lev Borisov. Advances in Mathematics, Volume 442 (2024), 109582. [arXiv:2301.01374] [journal]
On duality of certain GKZ hypergeometric systems, with Lev Borisov and Chengxi Wang, Asian Journal of Mathematics, Volume 25 (2021), No.1, 65-88. [arXiv:1910.04039] [journal]
Talks and Presentations
Western Algebraic Geometry Symposium, University of Arizona, Nov 2024. Poster
Algebraic Geometry Northeastern Series, 5-minute talk & poster, Dartmouth College, Nov 2024.
Rutgers Algebra Seminar, Rutgers University, Oct 2024.
Columbia Enumerative Geometry Seminar, Columbia University, Sept 2024.
Richmond Geometry Meeting, Virginia Commonwealth University, Aug 2024. Poster
Rutgers Algebra Seminar, Rutgers University, Apr 2024.
Algebraic Geometry Northeastern Series, 5-minute talk, University of Pennsylvania, Oct 2023. Slides (See also the talk given by Lev Borisov based on the same project)
Rutgers Algebra Seminar, Rutgers University, Feb 2023.
Teaching
Rutgers University
- Math 551: Abstract Algebra I, TA, Fall 2024
- Math 111: Precalculus, TA, Spring 2024
- Math 552: Abstract Algebra II, TA, Spring 2024
- Math 551: Abstract Algebra I, TA, Fall 2023
- Math 477: Mathematical Theory of Probability, TA, Fall 2023
- Math 244: Differential Equations for Engineering and Physics, TA, Spring 2023
- Math 354: Linear Optimization, TA, Fall 2022
- Math 251: Multivariable Calculus, TA, Spring 2022
- Math 251H: Multivariable Calculus, TA, Fall 2021
University of Science and Technology of China
- Foundation of Algebra, TA, Fall 2019
- Modern Algebra, TA, Spring 2019
- Foundation of Algebra, TA, Fall 2018