| Sara Billey |
| Gaku Liu |
| Ricky Liu |
| Isabella Novik |
| Jonah Ostroff |
| Cynthia Vinzant |
| Alexander Holroyd |
| Steve Klee |
| Henry Kvinge |
| David Wilson |
| Chris Hoffman |
| Monty McGovern |
| Thomas Rothvoss |
| Farbod Shokrieh |
| Rekha Thomas |
| Herman Chau |
| Tracy Chin |
| Julie Curtis |
| Joshua Hinman |
| Kevin Liu |
| Alex Mason |
| Jonathan Niño-Cortes |
| Michael Tang |
| Yirong Yang |
| Catherine Babecki (2023) |
| Rowan Rowlands (2023) |
| Stark Ryan Ledbetter (2022) |
| Jordan Weaver (2022) |
| Lei Xue (2022) |
| Amzi Jeffs (2021) |
| Sean Griffin (2020) |
| Graham Gordon (2020) |
| Connor Ahlbach (2019) |
| Amy Wiebe (2019) |
| Connor Sawaske (2018) |
| Josh Swanson (2018) |
| Hailun Zheng (2017) |
| José Alejandro Samper (2016) |
| Jair Taylor (2016) |
| Brendan Pawloski (2014) |
| Austin Roberts (2014) |
| Chris Aholt (2012) |
| Andrew Crites (2011) |
| João Gouveia (2011) |
| Michael Goff (2010) |
| Steve Klee (2010) |
| Kurt Luoto (2009) |
| Stephanie Vance (2009) |
| Andrew Frohmader (2008) |
| Tristram Bogart (2007) |
| Anton Dochtermann (2007) |
| Brant Jones (2007) |
| Matthew Kahle (2007) |
| Beth Kelly (2007) |
| Edwin O'Shea (2006) |
| Chris Hanusa (2005) |
| Combinatorics Seminar |
| Combinatorics Pre-Seminar |
Combinatorialists at UW
The department currently has a very active group in combinatorics with a long history of excellence in this field beginning with E.T.Bell. During the latter half of the 20th century, Branko Grünbaum and Victor Klee, played an important role in establishing the field of combinatorics through their seminal work on geometric combinatorics and the connections to computer science, operations research and pure mathematics. With the impending retirements of Grünbaum and Klee, in 1997 and 2000, the department placed a high priority in the late 90's on maintaining this strong reputation through selective hiring in algebraic, geometric, and probabalistic combinatorics.The department has now assembled an active group of researchers in this field, consisting of professors Sara Billey, Isabella Novik, along with recent hires Gaku Liu (started in 2020), Ricky Liu (started in 2021), Cynthia Vinzant (started in 2021). Steve Klee is affiliate faculty at UW and an associate professor at Seattle University. Chris Hoffman started out in ergotic theory and has moved closer to probabalisitc combinatorics through his work with Yuval Peres. Thomas Rothvoss and Rekha Thomas work in combinatorics related to discrete optimization, linear/integer programming and theoretical computer science. The combinatorics group is further bolstered by faculty in related areas including representation theory, algebraic geometry, optimization, probability, algebra, and our affiliate faculty with interests in combinatorics. We have a weekly seminar in combinatorics in addition to undergraduate and topics courses in this area every year. We regularly run a year long graduate course entitled "Foundations of Combinatorics" for students interested in the area.
Billey's research is at the intersection of algebraic combinatorics, Lie theory, computational algebraic geometry, probability and experimental mathematics. More specifically, that includes affine Grassmannians, Schubert varieties, Schubert polynomials, flag manifolds, symmetric functions, root systems, Coxeter groups, diagonal harmonics, computer aided combinatorics, stochastic processes, complexity theory, fingerprint databases, and learning algorithms.
The research interests of Isabella Novik lie in combinatorics of simplicial complexes, and in connections between combinatorics, commutative algebra, and algebraic topology. Her work includes problems related to characterizing face numbers for various classes of simplicial complexes.
Rekha Thomas works on problems that lie at the intersection of discrete optimization, computational algebra and geometry.
Chris Hoffman works at the intesection of combinatorics with discrete probability.
Thomas Rothvoss's research interests are discrete optimization, linear/integer programming and theoretical computer science.