Posts by Collection



Primes and Perfect Powers in the Catalan Triangle

Published in Journal of Integer Sequences with N. Benjamin, G. Fickes, E. Fiorini, E. Jovinelly, and T.W.H. Wong, 2019

The Catalan triangle is an infinite lower-triangular matrix that generalizes the Catalan numbers. The entries of the Catalan triangle, denoted by \(c_{n,k}\), count the number of shortest lattice paths from \((0, 0)\) to \((n, k)\) that do not go above the main diagonal. This paper studies the occurrence of primes and perfect powers in the Catalan triangle.

Combinatorial Methods for Barcode Analysis

Published in Arxiv Pre-Print, under review, 2022

We study a new partial order on the space of barcodes closely related to the permutahedron. The resulting poset has connections to continuous metrics on barcodes such as the bottleneck and Wasserstein distances.



Math 54 – Fall 2017

Undergraduate course (TA), UC Berkeley, 2017

Linear Algebra. Lead Instructor: Michael Hutchings.

Math 21A – Fall 2020

Undergraduate course (TA), UC Davis, 2020

Differential Calculus. Lead Instructor: Daniel Martin.