Research Interests
Dr. Lina Li’s research is in combinatorics, particularly in extremal and probabilistic combinatorics. Her current work focuses on enumeration problems, hypergraph colorings, and graph tilings.
Biography
Lina Li is an Assistant Professor in the Department of Mathematics at the University of Mississippi. Her research lies in extremal and probabilistic combinatorics, with particular focus on enumeration problems, (hyper)graph colorings, and graph tilings. Prior to joining Ole Miss, Dr. Li was a postdoctoral researcher at Iowa State University and the University of Waterloo. She received her Ph.D. in Mathematics from the University of Illinois at Urbana-Champaign in 2020.
Publications
Selected Publications:
The number of colorings of the middle layers of the Hamming cube (with Gwen McKinley, and Jinyoung Park), Combinatorica, 45.1 (2025): 1-47.
Intersecting families of sets are typically trivial (with J. Balogh, R. I. Garcia, and Adam Zsolt Wagner), Journal of Combinatorial Theory, Series B, 164 (2024): 44-67.
Tilings in vertex ordered graphs (with J. Balogh and Andrew Treglown), Journal of Combinatorial Theory, Series B, 155 (2022): 171-201.
Independent sets in the middle two layers of Boolean lattice (with J. Balogh and Ramon I. Garcia), Journal of Combinatorial Theory, Series A, 178 (2021), 105341.
The typical structure of Gallai colorings and their extremal graphs (with J. Balogh), SIAM Journal on Discrete Mathematics, 33 (2019), No. 4, 2416--2443.
Courses Taught
- Math 319 Introduction to Linear Algebra
- Math 401 Combinatorics
Education
B.S. Mathematics, Xi'An Jiaotong University (2014)
M.S. Mathematics, University of Illinois-Urbana Campus (2018)
Ph.D. Mathematics, University of Illinois-Urbana Campus (2020)