I am a FWO postdoc researcher at KU Leuven (Mentor Prof. **N. Budur**). 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**)

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:**

Algebra Section, Celestijnenlaan 200b - box 2400, 3001 Leuven, Belgium

feng.hao@kuleuven.be

**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:**

$\pi_1$-small divisors and fundamental groups of varieties, to appear IMRN.

*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*Vanishing theorem for tame harmonic bundles via L2-cohomology*, (with Y. Deng), arXiv:1912.02586 (submitted).*Generic Vanishing and Holomorphic 1-forms,*(with Y. Dutta and Y. Liu), arXiv:2104.07074 (submitted).*Limiting Mixed Hodge Theory and Nonabelian Hodge Theory for Nodal Curves*, Ph.D Thesis, Purdue University, (2018).