Research

Research Interests: Algebraic Combinatorics, Algebraic Geometry, Enumerative Combinatorics, Schubert Calculus, Moduli spaces of curves.

My research broadly involves combinatorial problems inspired and/or motivated by algebraic geometry. My master's project involved an intersection problem on the Grassmannian, where we gave a combinatorial proof that a particular class of tableaux satisfies a counting result that was previously only known geometrically. 

Currently, I am interested in the combinatorics of M̅0,n, the moduli space of genus-0 stable curves with n marked points. Specifically, intersections of ω-classes or ψ-classes in its cohomology ring can be computed by counting the number of elements in either Slideω(k) or Tour(k), two different sets of trivalent trees. My recent work has involved finding a combinatorial bijection between these two sets, making use of an intersion algorithm on Slideω(k).

Papers:

• "Insertion algorithms and pattern avoidance on trees arising in the Kapranov embedding of M̅0,n+3". (2025+; Submitted)

  • • arXiv.

• "A Generalized RSK for Enumerating Linear Series on n-pointed Curves," with Maria Gillespie. (2023)

  • • AlCo and arXiv.

• "Packing patterns in symmetric words," with Julia Krull, Lara Pudwell, and Eric Redmon. (2022)

  • • AJC.

Master's Thesis:

• "Generalized RSK for enumerating projective maps from n-pointed curves"