(mst0 at uw dot edu)
I am a third-year graduate student in the University of Washington's math department, studying algebraic combinatorics. My advisor is Ricky Liu.
I was an undergraduate at MIT, class of 2021, obtaining a bachelor's degree in mathematics with a minor in computer science. I lived at Next House.
I participate in the MIT Mystery Hunt, as well as many other puzzlehunts, on team NES. I also helped develop Noq, a website housing a suite of solvers for many genres of Nikoli-style logic puzzles.
- (October, 2023) Shuffle bases and quasisymmetric power sums (with Ricky Liu). available at https://arxiv.org/abs/2310.09371.
We characterize isomorphisms between the algebra QSym of quasisymmetric functions and the shuffle algebra Sh of compositions. To do so, we establish a universal property for Sh analogous to the one for QSym described by Aguiar, Bergeron, and Sottile
. We then use these results to derive characterizations of quasisymmetric power sums and study some particular examples from the literature.