# Feng Hao

**Ph.D. Candidate**

Department of Mathematics

Purdue University

150 N University Street

West Lafayette, IN 47907-2067

**Office:** MATH 1041

**E-mail:** fhao@purdue.edu**
**## Education

- Ph.D., Mathematics, Purdue University, 2012-Present
- Advisor: Dr.
Donu Arapura
- B.S., Mathematics, Shandong University, 2008-2012

## Research Interests

I am interested in algebraic geometry and Hodge theory, in particular,
the asymptotic Hodge theory, nonabelian Hoddge theory, moduli
of vector bundles over algebraic varieties, and topology of algebraic
varieties. Recently, I am working on:
- Moduli of parabolic Higgs bundles over a quasi-projective
variety and vanishing theorem for parabolic Higgs bundles.
- Nonabelian Hodge theory for nodal curves and degeneration of curves.
- Surfaces of general type with infinitely many negative curves
and their topology.

## Papers and Preprints

- Feng Hao. 1-Motives Associated to the Limiting Mixed Hodge
Structures of Degenerations of Curves. (Submitted) arXiv:1707.08550.
- Feng Hao. Weak Bounded Negativity Conjecture. (Submitted) arXiv:1708.09463.
- D. Arapura, F. Hao, H. Li. Vanishing theorem for parabolic Higgs
bundles. (Submitted) https://arxiv.org/abs/1801.02562.

## Teaching

- Fall 2017. TA for MA 165: Calculus I (Course Page).
- Fall 2013. TA for MA 261: Calculus III.

## Useful Links