Margaret H. Regan
William W. Elliott Assistant Research Professor of Mathematics
I am currently a William W. Elliott Assistant Research Professor of Mathematics at Duke University under the mentorship of Prof. Ezra Miller. I am teaching Combinatorics this Fall 2020 and Linear Algebra and its Applications in Spring 2021. My research focuses on problems in numerical algebraic geometry and numerical analysis. Mainly, my projects involve the use of homotopy continuation to solve parametrized systems of polynomial equations with applications to computer vision and kinematics. With Ezra Miller I am exploring projects involving computing real multiparameter persistent homology.
I graduated in Aug. 2020 with 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." I was supported by the Arthur J. Schmitt Leadership Fellowship in Science and Engineering from the University of Notre Dame and a research assistantship through Prof. Jonathan Hauenstein. I was awarded the Outstanding Graduate Student Teacher Award by ND Learning | Kaneb Center for Teaching Excellence and The Graduate School at the University of Notre Dame in April 2020.
Outside of mathematics I love to read, play with my bunnies, exercise, and coach swimming. I have completed a relay crossing of the English Channel and the Mighty Mac Swim, as well as swum around Mackinac Island. These were amazing experiences in long distance swimming and scenery! I continue to train with local teams and compete in both swimming and triathlon events.
Duke University - MATH 371 - Combinatorics
University of Notre Dame - ACMS 20620 - Applied Linear Algebra
Westville Education Initiative, Holy Cross College - Math 210 - Statistics (Teaching Assistant)
Westville Education Initiative, Holy Cross College - Math 113 - College Algebra (Course Syllabus)
University of New Hampshire - Math 426 - Calculus 2 (Teaching Assistant) (student reviews)