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I am an assistant professor in the Department of Mathematics at the University of Mississippi.
My research primarily focuses on extremal and probabilistic combinatorics, with specific interests in topics including enumeration problems, (hyper)graph colorings, and graph tilings
My work is supported by a Simons Travel Grant, SFI-MPS-TSM-00024322.
Short Bio
Short Bio
Before joining Ole Miss, I was a postdoc at Iowa State University, under the supervision of Ryan Martin, and a Post-doctoral Research Fellow in the Department of Combinatorics and Optimization, Univerisity of Waterloo, under the supervision of Luke Postle.
I received my PhD degree in mathematics at University of Illinois at Urbana-Champaign in May 2020, under the supervision of József Balogh.
Email: lli5 at olemiss dot edu
Office: Hume 323
Selected Research Papers
Selected Research Papers
Typical intersecting families at n=2k+1 and n=2k+2, preprint.
Lipschitz functions on weak expanders (with Robert A. Krueger, and Jinyoung Park), Journal of the London Mathematical Society, 113.3 (2026): e70500.
The number of colorings of the middle layers of the Hamming cube (with Gwen McKinley, and Jinyoung Park), Combinatorica, 45.1 (2025): 1-47.
The chromatic number of triangle-free hypergraphs (with Luke Postle), submitted.
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.
Useful Links
Useful Links
Links to Combinatorial Conferences (Provided by Prof. Douglas West)
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