## chi-yu Cheng

Third year graduate student in the Department of Mathematics

**Email:**
chiyu(at)washington.edu

**Office:**
ART 336

### Teaching

- 2018 MATH 424 A,B Autum Quarter

### Research

GIT aspect of toric varieties. More precisely
- Constructing toric varieties as a quotient of an affine space by a subgroup of the torus;
- The combinatorial description of the stratification of the unstable locus in the above construction. Surprisingly there are analogous wall and chamber decompositions introduced in Doglachev and Yi Hu's variation of GIT paper.
- The relation between the above desciption and the combinatorial data associated to the toric variety;
- Compute stratification of the unstable locus in more general GIT settings.

*Publications*
- Master Thesis: A Galois Correspondence in Batyrev's Construction of Mirror Pairs

*Self Study Notes*
- Hartshorne
- Algebraic Spaces and Stacks
- Geometric Invariant Theory
- Topology Algebrique

### Course Taught

2016 Autum Math 126
2017 Autum Math 126
2018 MATH 126 B Summer Quarter

University of Washington

Department of Mathematics

Box 354350

Seattle, WA 98195-4350