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Faculty

 Sara Billey
 Branko Grünbaum (Emeritus)
 Isabella Novik
 Jonah Ostroff 
 Bennet Goeckner

Affiliate Faculty

 Alexander Holroyd
 Steve Klee 
 David Wilson

Faculty with related interests

 Ioana Dumitriu
 Chris Hoffman 
 Monty McGovern
 Thomas Rothvoss
 John Sullivan (Emeritus)
 Rekha Thomas

Students

 Connor Ahlbach
 Graham Gordon
 Sean Griffin
 Connor Sawaske

Ph.D. Graduates

 Josh Swanson (Ph.D. 2018)
 Hailun Zheng (Ph.D. 2017)
 José Alejandro Samper (Ph.D. 2016)
 Jair Taylor (Ph.D. 2016)
 Brendan Pawloski (Ph.D. 2014)
 Austin Roberts (Ph.D. 2014)
 Chris Aholt (Ph.D. 2012)
 Andrew Crites (Ph.D. 2011)
 João Gouveia (Ph.D. 2011)
 Michael Goff (Ph.D. 2010)
 Steve Klee (Ph.D. 2010)
 Kurt Luoto (Ph.D. 2009)
 Stephanie Vance (Ph.D. 2009)
 Andrew Frohmader (Ph.D. 2008)
 Tristram Bogart (Ph.D. 2007)
 Anton Dochtermann (Ph.D. 2007)
 Brant Jones (Ph.D. 2007)
 Matthew Kahle (Ph.D. 2007)
 Beth Kelly (Ph.D. 2007)
 Edwin O'Shea (Ph.D. 2006)
 Chris Hanusa (Ph.D. 2005)

Resources

 Combinatorics Seminar
 Combinatorics Pre-Seminar
 Computer Science Theory Seminar 
 Microsoft Theory Group 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 Rekha Thomas (hired in 2000), Sara Billey (hired in 2002) and Isabella Novik (hired in 2004). Assistant Professor Ioana Dumitriu was appointed in 2006. Chris Hoffman started out in ergotic theory and has moved closer to probabalisitc combinatorics through his work with Yuval Peres at Microsoft. The combinatorics group is further bolstered by faculty in related areas including representation theory, algebraic geometry, optimization, probability, algebra, and our affiliate faculty in the Microsoft theory group 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.

Ioana Dumitriu's research interests include random matrices, computing, and algorithmic game theory.

Thomas Rothvoss's research interests are discrete optimization, linear/integer programming and theoretical computer science.