I study algebraic combinatorics with the guidance of Dr. Jennifer Morse. I am currently researching the combinatorics of an inhomogenous family of symmetric functions called Katalan functions which contain a specialization, the closed $k$-Schur Katalan functions, conjectured to have applications to the quantum $K$-theory ring.
Papers
(with Olga Azenhas and Jacinta Torres) Symplectic cacti, virtualization and Berenstein-Kirillov groups, preprint arXiv: 220708446. (submitted)