Research

Research Interests

My doctoral research is in finite frame theory, in particular studying frames in symplectic vector spaces. I have always held a love for Linear Algebra and love math where I get to blend different disciplines together. I also spent the first few years of my graduate career studying analysis. 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 deep learning models. 

Publications

• • On the optimal arrangement of 2d lines in \mathbb{C}^d (with Joseph W. Iverson) Inf. and Inference, to appear. 2025. preprint

  • 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 (2023), A47. preprint | journal version

  • Anti-Schur numbers for x_1+x_2+...+x_k-1 = x_k (with C. Giles, H. Rehm, S. Wagner and N. Warnberg) Australasian Journal of Combinatorics Vol. 77 (2020), No. 1, 1-8.  preprint | journal version