Research Interests:
One of my favorite things to explore is finding ways to create visual representations of complicated algebraic structures. I particularly love the world of algebraic combinatorics, especially when there are connections to cluster algebras and representation theory.
Papers:
A Geometric Model for Semilinear Locally Gentle Algebras (joint with Esther Banaian, Raphael Bennett-Tennenhaus, and Karin Jacobsen)
Matrix Formulae and Skein Relations for Quasi-Cluster Algebras (joint with Cody Gilbert and McCleary Philbin)
Double and Triple Dimer Partition Functions in Gr(3,n) [to appear in Algebraic Combinatorics](joint with Moriah Elkin and Gregg Musiker)
Marked Non-Orientable Surfaces and Cluster Categories via Symmetric Representations ( joint with Véronique Bazier-Matte and Aaron Chan)
Mixed Dimer Configuration Model for Type D Cluster Algebras [Electronic Journal of Combinatorics] (joint with Gregg Musiker)
Mixed Dimer Configuration Model for Type D Cluster Algebras II: Beyond the Acyclic Case [to appear in Electronic Journal of Combinatorics] (joint with Gregg Musiker and Libby Farrell)
Friezes over Z[√2] [to appear in Involve] (joint with Esther Banaian, Libby Farrell, Amy Tao, and Joy Zhichun Zhang)
Quivers from Non-Orientable Surfaces (joint with Véronique Bazier-Matte, Linda He, Ruiyan Huang, and Hanyi Luo)
Triangulations of Almost-Complete Graphs (joint with Padraic Bartlett, Kim Pham and Landon Settle)
Selected Research Talks:
A Geometric Model for Semilinear Locally Gentle Path Algebras
UMN Student Combinatorics and Algebra Seminar
UMN Adult Combinatorics and Algebra Seminar
Dimers, Webs and Grassmannian Cluster Algebras
University of Connecticut Algebra Seminar
University of Oregon RATHCOTh Seminar
Aarhus Homological Algebra Seminar
Dimers: Combinatorics, Representation Theory and Physics
CMS Winter Meeting on Cluster Algebras in Representation Theory
Mixed Dimer Configurations for Type D Cluster Algebras
Graduate Online Combinatorics Colloquium (video here!!)
Quasi-Cluster Algebras and Non-Orientable Surfaces
Flash Talks in Representation Theory