个人简历

Paper accepted:
Relative Clifford inequality for varieties fibered by curves,
Journal of Differential Geometry, to appear.
Fibered varieties over curves with low slope and sharp bounds in dimension three, (with Yong Hu)
Journal of Algebraic Geometry, to appear.
Expository paper:
Geography of irregular varieties of general type: some recent results,
Proceedings of the Seventh International Congress of Chinese Mathematicians. Vol. II, 169-188, Advanced Lectures in Mathematics (ALM), 44, Int. Press, Somerville, MA, 2019.
Preprint:
Noether-Severi inequality and equality for irregular threefolds of general type, (with Yong Hu)
preprint.
Relative Severi inequality for fibrations of maximal Albanese dimension over curves, (with Yong Hu)
preprint.
Current teaching:
Algebraic Geometry IV, Fall 2020, East China Normal University
Past teaching:
Analysis II (Problem Session), Spring 2020, East China Normal University
Algebraic Geometry Seminar III (for graduate students), Spring 2020, East China Normal University
Algebraic Geometry II, Fall 2019, East China Normal University
Complex Analysis, Spring 2019, East China Normal University
Algebraic Geometry Seminar II (for graduate students), Spring 2019, East China Normal University
Algebraic Geometry II, Fall 2018, East China Normal University
Algebraic Geometry I, Spring 2018, East China Normal University
Algebraic Geometry Seminar III (for graduate students), Spring 2018, East China Normal University
Elliptic Functions, Epiphany 2017, Durham University
Representation Theory, Epiphany 2016, Durham University
Linear Algebra, Fall 2014, University of Alberta
Theory of Functions of a Complex Variable, Fall 2014, University of Alberta
Complex Analysis, Winter 2014, University of Alberta
Mathematical Methods for Electrical Engineers, Fall 2013, University of Alberta
Complex Analysis, Winter 2013, University of Alberta
Mathematical Methods for Electrical Engineers, Fall 2012, University of Alberta

研究领域

Arakelov几何，代数几何""

近期论文

Sakai's Theorem for Q-divisors on surfaces and applications, (with Fei Ye and Zhixian Zhu)
Asian Journal of Mathematics, Vol. 22, No. 4 (2018), 761-785 (special issue dedicated to Professor Ngaiming Mok’s 60th birthday).
Slope inequality for families of curves over surfaces,
Mathematische Annalen, Vol. 371, No. 3-4 (2018), 1095-1136.
Effective bound of linear series on algebraic and arithmetic varieties, (with Xinyi Yuan)
Journal für die reine und angewandte Mathematik, Vol. 736, (2018), 255-284.
Irregular varieties of Albanese fiber dimension one with small volume,
Mathematical Research Letters, Vol. 23, No. 6 (2016), 1833-1856.
Geography of irregular Gorenstein 3-folds,
Canadian Journal of Mathematics, Vol. 67, No. 3 (2015), 696-720.
Severi inequality for varieties of maximal Albanese dimension,
Mathematische Annalen, Vol. 359, No. 3-4 (2014), 1097-1114.
Relative Noether inequality on fibered surfaces, (with Xinyi Yuan)
Advances in Mathematics, Vol. 259, No. 10 (2014), 89-115.
Effective bound of linear series on arithmetic surfaces, (with Xinyi Yuan)
Duke Mathematical Journal, Vol. 62, No. 10 (2013), 1723-1770.
Adjoint linear systems on algebraic surfaces,
International Journal of Mathematics, Vol. 24, No. 3 (2013), 14 pages.