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