Research

My research is in the mathematical area of algebraic combinatorics, and more specifically combinatorial representation theory.  I use tools like graphs, set partitions, order theory, and Hopf structures to control algebraic objects like groups, modules, and algebras.

Preprints:

• With N. Bergeron: The excedance quotient of the Bruhat order, Quasisymmetric Varieties and Temperley-Lieb algebras, 2023. arXiv.

Publications:

• A unipotent realization of the chromatic quasisymmetric function. To appear in Algebra and Number Theory. arXiv.

• A GL-compatible Hopf algebra of unitriangular class functions.  Journal of Algebra 632 (2023), 426-461.  Journal Version; arXiv.

• The combinatorics of normal subgroups in the unipotent upper triangular group, Combinatorial Theory 1 (2021), Paper No. 15.  Journal version; arXiv.