# Zheng Zhang

### Teaching

### Research Interests

- Algebraic geometry
- Hodge theory

### Publications

- A realization for a ℚ-Hermitian variation of Hodge structure of Calabi-Yau type with real multiplication, Math. Res. Lett. 22 (2015), no. 3, 967-982.
- Classical period domains (with R. Laza), in Recent Advances in Hodge Theory (London Mathematical Society Lecture Note Series), Cambridge University Press, 2016.
- On motivic realizations of the canonical Hermitian variations of Hodge structure of Calabi-Yau type over type D domains, submitted.
- A generic global Torelli theorem for certain Horikawa surfaces (with G. Pearlstein), submitted. arXiv:1702.06204.
- Compactifications of the moduli space of plane quartics and two lines (with P. Gallardo and J. Martinez-Garcia), submitted. arXiv:1708.08420.
- On the moduli space of cubic threefolds and their hyperplane sections (with R. Laza and G. Pearlstein), in preparation.

### Research Activities

- Postdoctoral member of FRG (Hodge theory, Moduli and Representation theory), 2014-2017.
- Collaborate@ICERM: Interplay among hypersurface singularities, Hodge theory and the moduli of hypersurfaces and their hyperplane sections (with P. Gallardo and J. Martinez-Garcia), May 2017.

### Talks

- Geometry Seminar, University of Texas at Austin, October 2017.
- Algebraic Geometry and Number Theory seminar, Rice University, September 2017.
- Hodge Theory, Moduli and Representation Theory, Stony Brook University, August 2017.
- The Georgia Algebraic Geometry Symposium (mini-talk), University of Georgia, March 2017.
- FRG Workshop, Washington University in St. Louis, January 2017.
- Geometry Seminar, Duke University, April 2016.
- FRG Workshop, Texas A&M University, January 2016.
- Geometry Seminar, Texas A&M University, April & September 2015.
- FRAGMENT Seminar, University of Colorado at Boulder, February 2015.