Zili Zhang
Distinguished Research Fellow (Tenure-track)
School of Mathematical Science
Tongji University
Office: Ningjing Building 203 (Means "the building of tranquility" in Chinese)
E-mail: zhangzili@tongji.edu.cn
I am interested in the topology of complex algebraic varieties, especially in the study of the Hitchin moduli spaces, character varieties and Hilbert schemes of points on surfaces. My current interest is the Hodge theoretic study of singular cohomology of these spaces.
Here is my CV (last update: 1/2019).
Research
Multiplicativity of perverse filtration for Hilbert schemes of fibered surfaces, II
Arxiv 1912.06766, to appear at Trans. Amer. Math. Soc.
The P=W identity for cluster varieties
Math. Res. Lett. 28 (2021) no. 3, 925-944.
Perverse filtrations, Hilbert schemes, and the P=W conjecture for parabolic Higgs bundles (with J. Shen)
Alg. Geom. 8 (4) (2021) 465--489.
Multiplicativity of perverse filtration for Hilbert schemes of fibered surfaces
Adv. Math. 312 (2017) 636–679.
Teaching
University of Michigan
Winter 20 Math 214 - Applied Linear Algebra
Fall 19 Math 115 - Calculus I
Winter 19 Math 216 - Differential Equations
Fall18 Math 216 - Differential Equations
Winter18 Math 494 - Honors Algebra II
Fall17 Math 115 - Calculus I