Research

I am currently researching weighted Ehrhart theory with Dr. Josephine Yu and Daniel Hwang.  We are attempting to classify certain classes of weights which have h* positivity for alcoved polytopes. 

Undergraduate Research

• Summer@ICERM 2022 in Computational Combinatorics

  • Research project on the statistics of Parking Functions under the supervision of Dr. Gordon Rojas Kirby, San Diego State University

  • Publication: Unit Interval Parking Functions and the r-Fubini Numbers in La Matematica 

• Polymath Jr. 2021

  • Research project on Square-Free Words under the supervision of Dr. Eric Rowland, Hofstra University

  • Publication: The lexicographically least square-free word with a given prefix in the Electronic Journal of Combinatorics

• Coding Theory, Cryptography and Number Theory Pre-REU at Clemson University 2020

  • Four-week introductory research project in lattice-based cryptography under the supervision of Dr.\ Ryann Rose Cartor, Clemson University

  • Preprint: Practical Quantum-Safe Voting from Lattices, Extended