I am a researcher (tenure track professor) at Shandong University in Jinan. I obtained my Ph.D degree from Purdue University in Aug 2018 (Advisor Prof. D. Arapura). I was a postdoc researcher at Ludwig-Maximilians-Universität München during 09.2018-09.2019 (Mentor Prof. S. Schreieder) and postdoc researcher at KU Leuven during 09.2019-09.2023(Mentor Prof. N. Budur).
My research centers around Algebraic Geometry and Hodge theory. Currently, I am working on projects about the generic vanishing theorem and its birational application, the assymptotic Hodge theory, nonabelian Hodge theory, and topology of algebraic variety.
Contact:
School of Mathematics, Shanda South Road 27, 250100 Jinan, China
feng.hao@sdu.edu.cn
Education:
Ph.D. in Mathematics, Purdue University, West Lafayette, IN, USA, August 2018
B.S. in Mathematics, Shandong University, Shandong, China, June 2012
Publications and preprints:
Vanishing theorem for tame harmonic bundles via L2-cohomology, (with Y. Deng), arXiv:1912.02586 ，to appear Compositio Mathematica.
On algebraic varieties with circle bundle structures. In preparation.
Nowhere vanishing holomorphic one-forms and fibrations over abelian varieties, (with N. Chen and B. Church), arXiv:2306.15064 (submitted).
Generic Vanishing, 1-forms, and Topology of Albanese Maps, (with Y. Dutta and Yongqiang Liu), Mathematische Zeitschrift 306 (3),1-21.
Nowhere vanishing holomorphic one-forms on varieties of Kodaira codimension one, IMRN, doi: 10.1093/imrn/rnac072.
$\pi_1$-small divisors and fundamental groups of varieties, IMRN, doi: 10.1093/imrn/rnac019.
Equality in the Miyaoka-Yau inequality in the non-general type case, (with S. Schreieder), Journal für die reine und angewandte Mathematik, 775 (2021), 87--115.
Holomorphic one-forms without zeros on threefolds, (with S. Schreieder), Geometry & Topology, 25(2021), 409-444.
Vanishing theorem for parabolic Higgs bundles, (with D. Arapura and H. Li), Math. Res. Lett., 26 (2019), 1251-1279.
Weak bounded negativity conjecture, Proc. Amer. Math. Soc. 147 (2019), 3233-3238.
Limiting Mixed Hodge Theory and Nonabelian Hodge Theory for Nodal Curves, Ph.D Thesis, Purdue University, (2018).
