Biography
I am currently an Assistant Professor at the College of the Holy Cross in the Department of Mathematics and Computer Science. Previously, I was a William W. Elliott Assistant Research Professor of Mathematics at Duke University under the mentorship of Prof. Ezra Miller, where I was awarded the Lewis Blake Award for Excellence in Teaching. In 2020 I received a PhD in Applied and Computational Mathematics and Statistics advised by Prof. Jonathan Hauenstein at the University of Notre Dame. The title of my dissertation is "Parameterized polynomial systems and their applications."
Timothy Duff, Viktor Korotynskiy, Tomas Pajdla, and Margaret H. Regan,
Using monodromy to recover symmetries of polynomial systems. A version of this article will appear in Special Issue on Symbolic and Algebraic Computation: ISSAC 2023, Journal of Symbolic Computation.
Margaret H. Regan,
Using data as an input to parameterized polynomial systems.
A version of this article appeared in Proceedings of DANGER, International Journal of Data Science in the Mathematical Sciences, World Scientific, 2(1), 63-77, 2024.
Wenrui Hao, Jonathan D. Hauenstein, Margaret H. Regan, and Tingting Tang,
A numerical method for solving elliptic equations on real closed algebraic curves and surfaces (pdf).
A version of this article appeared in Journal of Scientific Computing, 99(56), 2024.