Combinatorics at USC is predominantly algebraic, with many faculty making connections to other fields of mathematics including probability, representation theory, algebraic geometry, finite group theory, and topology. We hold a weekly Combinatorics Seminar in addition to a selection of combinatorics graduate courses.

 

Tenured and Tenure-Track Faculty

  • Arratia, Richard (Probability, combinatorics, number theory)
  • Assaf, Sami (Algebraic combinatorics, representation theory, algebraic geometry, probability)
  • Fulman, Jason (Algebraic combinatorics and probability)
  • Goldstein, Larry (Statistics, probability)
  • Guralnick, Robert (Finite and algebraic groups, representation theory, curves, Galois theory, and linear algebra)
  • Lauda, Aaron (Categorification, representation theory, and low-dimensional topology)
  • Panova, Greta (Algebraic combinatorics, computational complexity, statistical mechanics and probability)
  • Williams, Harold (representation theory, algebraic geometry, symplectic geometry)

 

Post-Docs and Visitors

 

Current Graduate Students

  • Armon, Sam (advisor Assaf)
  • Bowling, Grant (advisor Assaf)
  • Ebert, Mark (advisor Lauda)
  • Ehrhard, Henry (advisor Assaf)
  • Kim, Sung (advisor Lauda)
  • Paguyo, J.E. (advisor Fulman)
  • Uskuplu, Elif (advisor Lauda)
  • Wang, Shiyun (advisor Panova)
  • Zhao, Chenchen (advisor Panova)

 

Recent Graduate Students

2022

  • Kagey, Peter (Ph.D. 2022 advised by Assaf), Permutations, Statistics, and Switches

2021

  • Quijada, Danjoseph (Ph.D. 2021 advised by Assaf), A Pieri rule for key polynomials
  • Rahmani, John (Ph.D. 2021 advised by Fulman), Mixing Times for the Commuting Chain

2020

  • McKemmie, Eilidh (Ph.D. 2020 advised by Guralnick), Invariable generation of finite groups of Lie type
  • Ozdemir, Alperen (Ph.D. 2020 advised by Fulman), On limiting distribution and convergence rates of random processes defined over discrete structures

2019

  • Gonzalez, Nicolle Sandoval (Ph.D. 2019 advised by Assaf and Lauda), Categorical operators and crystal structures on the ring of symmetric functions
  • Wiroonsri, Nathakhun (Ph.D. 2019 advised by Goldstein), Stein’s Method via Approximate Zero Biasing and Positive Association with Applications to the Combinatorial Central Limit Theorem and Statistical Physics

2018

  • Bhattacharjee, Chinmoy (Ph.D. advised by Goldstein), Stein’s method and its applications in strong embeddings and Dickman approximations
  • Donner, Matthew (Ph.D. advised by Guralnick), Regular unipotents in finite maximal subgroups of classical groups
  • Egilmez, Ilknur (Ph.D. advised by Lauda), DG structures on categorified quantum groups
  • Kim, Gene (Ph.D. advised by Fulman), Distribution of descents in matchings
  • Oguz, Can (Ph.D. advised by Lauda), The Trace and Center of the Twisted Heisenberg Category
  • Oguz, Ezgi Kantarci (Ph.D. advised by Assaf), Advances in the Combinatorics of Shifted Tableaux
  • Ozel, Enes (Ph.D. advised by Fulman), Cycle structures of permutations with restricted positions