# Welcome to Xizhi Liu's Home Page

**Xizhi Liu **
** Email**: xliu246@uic.edu

I am a graduate student in the Department of
Mathematics, Statistics, and Computer Science (MSCS),
at the
University of Illinois at Chicago (UIC).
My advisor is Prof. Dhruv Mubayi.

I got my B.S. degree in 2018 from the
School of Mathematical Sciences,
University of Science and Technology of China (USTC).
My undergraduate advisor is Prof. Jie Ma.

** Research Interests**:

Combiatorics, extremal graph theory and extremal set theory. **Curriculum Vitae:**

CV

** Teaching:**

2020 Spring, Math 165, Calculus for Business, (TA).
2019 Fall, Math 110, College Algebra, (TA).
2019 Spring, Math 310, Applied Linear Algebra, (Grader).
2018 Fall, Math 310, Applied Linear Algebra, (Grader).
** Publication: **

d-cluster-free sets with a given matching number , * European Journal of Combinatorics 82C (2019), * (19 pages).
Journal Version
Structural results for conditionally intersecting families and some applications, (13 pages) Submitted.
New short proofs to some stability theorems, (8 pages) Submitted.
The feasible region of hypergraphs, (with D. Mubayi) (37 pages) Submitted.
A hypergraph Turan problem with no stability, (with D. Mubayi) (36 pages) Submitted.
Stability theorems for the feasible region of cancellative hypergraphs, (30 pages) Submitted.
Tight bounds for Katona's shadow intersection theorem, (with D. Mubayi) (20 pages) Submitted.
On a generalized Erd\H{o}s-Rademacher problem, (with D. Mubayi) (21 pages) Submitted.