Research
Research Interests
Research Interests
My doctoral research is in finite frame theory, in particular looking at frames in symplectic vector spaces over real and finite fields. I have always held a love for Linear Algebra and love math where I get to blend different disciplines together. 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.
My doctoral research is in finite frame theory, in particular looking at frames in symplectic vector spaces over real and finite fields. I have always held a love for Linear Algebra and love math where I get to blend different disciplines together. 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
Publications
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
Preprints
On the optimal arrangement of 2d lines in \mathbb{C}^d (with Joseph W. Iverson) 2023. preprint