Seminar of differential geometry in ECNU
Global analysis on manifolds, local index theory and differential K-theory.
Main research objects
Analytic and differential-topological properties of Atiyah-Patodi-Singer eta-invariant, Bismut-Cheeger eta form, Ray-Singer analytic torsion, elliptic genera and related objects, especially on relations between eta forms and differential K-theory.
Postdoc: Universität zu Köln; Humboldt-Universität zu Berlin in Germany.
2017.1 Institut des Hautes Études Scientifiques (IHES), France;
2017.3 Max Planck Institute for Mathematics (MPIM), Germany;
2017.5 University of California, Santa Barbara, USA
2018.5 Institut de Mathematiques de Jussieu, France.
2013.12 Ph.D., Mathematics, Chern Institute of Mathematics, Nankai University of China. (Advisor: Prof. Weiping Zhang)
 (with Jianqing Yu) On the Anomaly Formula for the Cappell-Miller Holomorphic Torsion. Sci. China Math.. 2010, 53(12): 3225-3241.
 (with Jianqing Yu) On the Witten Rigidity Theorem for Stringc Manifolds. Pacific J. Math., 2013, 266(2): 477-508.
 (with Jianqing Yu) Rigidity and Vanishing Theorems on Z/k Spinc manifolds. Trans. Amer. Math. Soc. 2015, 367(2), 1381–1420.
 Functoriality of Equivariant Eta Forms. Journal of Noncommutative Geometry. 2017, 11(1), 225-307.
 Real embedding and Equivariant Eta Forms. Math. Z. 292 (2019), 849-878.
 (with Xiaonan Ma) Differential K-theory, eta-invariant, and localization. C. R. Math. Acad. Sci. Paris. 357(10) (2019), 803--813.
(with Xiaonan Ma) Differential K-theory and localization formula of eta invariants. 69 pages. To appear in Invent. Math.
 Equivariant Eta Forms and Equivariant Differential K-Theory. 49 pages. arXiv:1610.02311.
 (with Xiaonan Ma) Comparison of two equivariant eta forms. 61 pages. arXiv:1808.04044.
 Complex manifold and Kaehler geometry (2018 spring course)
 Global analysis on manifolds (2019 spring course)
Dept. of Math. East China Normal University