Research

Research Interests

My interests lie in the intersection of functional analysis, harmonic analysis, and algebraic combinatorics. Currently, my work involves leveraging analytical tools and existing combinatorial objects to discover rich mathematical configurations. Fundamentally this research is anchored in pure mathematics, yet it sees many applications in fields such as signal processing and quantum information theory. 

As an undergraduate, I also did some work in extremal combinatorics, in particular (anti-)Ramsey theory, some of which carried on after I graduated.  Last but not least, I have taken a recent interest in data science, machine learning, and AI. 

Submitted

• Equiangular tight frames in real symplectic space: Zauner's conjecture and the skew Hadamard conjecture arxiv: 2509.14463 preprint 

Publications

• • On the optimal arrangement of 2d lines in C^d (with Joseph W. Iverson) Inf. and Inference, Vol 14(2) iaaf008, (2025). preprint | journal article 

  • Rainbow numbers of [m] x [n] for x1 + x_2 = x_3 (with E. Manhart, J. Miller, H. Rehm, N. Warnberg, L. Zinnel), Integers, Vol 23, A47 (2023). preprint | journal article

  • Anti-Schur numbers for x_1+x_2+...+x_k-1 = x_k (with C. Giles, H. Rehm, S. Wagner and N. Warnberg) Australas. J. Combin. Vol. 77, No. 1, 1-8 (2020).  preprint | journal article