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:



  • 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.