I am a FWO postdoc researcher at KU Leuven (Mentor Prof. N. Budur) during 09.2020-09.2023. 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.

You can find my CV here.

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:

  • Equality in the Miyaoka-Yau inequality in the non-general type case, (with S. Schreieder), To appear Journal für die reine und angewandte Mathematik( Crelles's Journal)(2021).

  • 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.

  • Vanishing theorem for tame harmonic bundles via L2-cohomology, (with Y. Deng), arXiv:1912.02586 (submitted).

  • $\pi_1$-small divisors and fundamental groups of varieties, arXiv:2104.01608 (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).