Sammy Luo

Greetings! I am currently an NSF Postdoctoral Scholar at MIT. My sponsoring scientists are Larry Guth and Lisa Sauermann. Previously, I was a graduate student at Stanford, working with Jacob Fox.

Research Interests:

CV

Publications:

• D. Dong and S. Luo, Structure of tight (k,0)-stable graphs, submitted. (arxiv)
• S. Luo, A new shift operator-based polynomial method in additive combinatorics, submitted. (arxiv)
• L. Lichev and S. Luo, Large monochromatic components in colorings of complete hypergraphs, Journal of Combinatorial Theory Series A 205 (2024): 105867. (arxiv)
• J. Fox, S. Luo, H. Pham, and Y. Zhou, Small subsets with large sumset: Beyond the Cauchy-Davenport bound, Combinatorics, Probability and Computing (2024), 1-21. (arxiv)
• J. Fox, S. Luo, and H. Pham, On random irregular subgraphs, Random Structures and Algorithms 64.4 (2024): 899-917. (arxiv)
• D. Conlon, S. Luo, and M. Tyomkyn, Monochromatic components with many edges, Journal of Combinatorics 15.1 (2024), 59–75. (arxiv)
• S. Luo, On connected components with many edges, SIAM Journal on Discrete Mathematics 37.2 (2023), 573–585. (arxiv)
• J. Fox, X. He, S. Luo, and M. W. Xu, Multicolor list Ramsey numbers grow exponentially, Journal of Graph Theory 101 (2022), 389–396. (arxiv)
• J. Fox, S. Luo, and Y. Wigderson, Extremal and Ramsey results on graph blowups, Journal of Combinatorics 12.1 (2021), 1–15. (arxiv)
• I. Le and S. Luo, Generalized Minors and Tensor Invariants, to appear in International Mathematics Research Notices. (arxiv)
• H. Liu, S. Luo, P. Nelson, and K. Nomoto, Stability and exact Turan numbers for matroids, Journal of Combinatorial Theory Series B 143 (2020), 29–41. (arxiv)
• R. Alweiss and S. Luo, Bounded gaps between primes in short intervals, Results in Number Theory 4.2 (2018), 1–27. (arxiv)
• S. Luo, A Counting Lemma for Binary Matroids and Applications to Extremal Problems, Journal of Combinatorial Theory Series B 136 (2019), 329–359. (arxiv)
• S. Luo, Short Zero-Sum Sequences Over Abelian $p$-Groups of Large Exponent, Journal of Number Theory 177 (2017), 28–36. (arxiv)
• S. Luo and M. Sellke, The Saxl Conjecture for Fourth Powers via the Semigroup Property, Journal of Algebraic Combinatorics 45.1 (2017), 33–80. (arxiv)

Teaching:

18.226 - Probabilistic Methods in Combinatorics (Fall 2024)

18.204 - Undergraduate Seminar in Discrete Mathematics (Spring 2024)

Contact:

Email: sammyluo [at] mit [dot] edu