Ph.D. - Mathematics
University of Minnesota - 2013

B.A. - Mathematics
Carleton College - 2008

Pop, Crackle, Snap (and Pow): Some Facets of Shards 2022 - Other

Rational Noncrossing Coxeter-Catalan Combinatorics 2022 - Other

Normal Reflection Subgroups of Complex Reflection Groups 2021 - Journal Article

NORMAL REFLECTION SUBGROUPS of COMPLEX REFLECTION GROUPS 2021 - Journal Article

Crystal pop-stack sorting and type a crystal lattices 2021 - Other

Coxeter pop-tsack torsing 2021 - Other

Semidistrim Lattices 2021 - Other

Coxeter Pop-Tsack Torsing 2021 - Other

Credential in Effective College Instruction (https://badgr.com/public/assertions/PMQK9PK9Rt6RxamlZ-3fPg) - The Association of College and University Educators [2021]

Outstanding Teaching Award for Tenure-Track Faculty - University of Texas at Dallas - School of Natural Sciences and Mathematics [2020]

Assistant Professor of Mathematical Sciences
University of Texas at Dallas [2017–Present]
School of Natural Sciences and Mathematics

Visiting Assistant Professor of Mathematics
University of California, Santa Barbara [2016–2017]
Supervisor: Jon McCammond

Postdoctoral Researcher
Laboratoire de Combinatoire et d’Informatique Mathématique [2013–2016]
Université du Québec à Montréal, Canada Supervisors: François Bergeron, Christophe Hohlweg, Franco Saliola, Hugh Thomas.

Catalan Combinatorics

2022/05–2022/05 We solve two open problems in Coxeter-Catalan combinatorics. First, we introduce a family of rational noncrossing objects for any finite Coxeter group, using the combinatorics of distinguished subwords. Second, we give a type-uniform proof that these noncrossing Catalan objects are counted by the rational Coxeter-Catalan number, using the character theory of the associated Hecke algebra and the properties of Lusztig's exotic Fourier transform. We solve the same problems for rational noncrossing parking objects.  This is joint work with Pavel Galashin, Thomas Lam, and Minh-Tâm Quang Trinh.  (https://arxiv.org/abs/2208.00121)

Semidistrim Lattices

2021/11–2021/11 We introduce semidistrim lattices, a simultaneous generalization of semidistributive and trim lattices that shares many of their common properties. This is joint work with Colin Defant.  (https://arxiv.org/abs/2111.08122)

Mega Millions

Interviewed by CBS DFW reporter Nick Starling for a segment on the $1.28 billion Mega Millions jackpot.

Bracketology

Interviewed by WFAA Feature Reporter Sean Giggy for a segment on NCAA “Bracketology”.

Fall 2021 - BIRS Hybrid Workshop Organizer

Topic: Dynamical Algebraic Combinatorics.  Workshop webpage.

Fall 2021 - FPSAC Funding Coordinator

FPSAC webpage

Fall 2020 - BIRS Online Workshop Organizer

Topic: Dynamical Algebraic Combinatorics.  Workshop webpage.

New Techniques in Algebraic Combinatorics

$42,000 - Simons Foundation [2018/09–2023/08]

Simons Collaboration Grant for Mathematicians 585380

Graduate Student Combinatorics Conference 2018

$20,000 - National Science Foundation [2018/03–2019/02]

Grant Number 1801331