# Margaret H. Regan

Applied Math PhD Candidate

Applied Math PhD Candidate

I am an Applied Math PhD Candidate advised by Prof. Jonathan Hauenstein in the Applied and Computational Mathematics and Statistics Department at the University of Notre Dame graduating in May 2020. 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.

I am 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.

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. They were both amazing experiences in long distance swimming and scenery! I continue to train with a local masters swim team at Notre Dame and compete in both swimming and triathlon events.

CV Last Updated: 09/12/2019

- 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.*In preparation*. - Edgar A. Bernal, Jonathan D. Hauenstein, Dhagash Mehta, Margaret H. Regan, and Tingting Tang,

Machine Learning the Discriminant Locus.*In preparation*. - Jonathan D. Hauenstein and Margaret H. Regan,

Evaluating and differentiating a polynomial using a pseudo-witness set (__pdf__,__computation page__).*Submitted*.

To be presented by Margaret H. Regan at__ICMS 2020__. - Ricardo Fabbri, Timothy Duff, Hongyi Fan, Margaret H. Regan, David da Costa de Pinho, Elias Tsigaridas, Charles W. Wampler, Jonathan D. Hauenstein, Peter Giblin, Benjamin Kimia, Anton Leykin, and Tomas Pajdla,

TRPLP - Trifocal relative pose from lines at points (__pdf__).

A version of this article will appear in__CVPR 2020__. - Jonathan D. Hauenstein and Margaret H. Regan,

Real monodromy action (__pdf__).

A version of this article appeared in__Applied Mathematics and Computation, 373, 124983, 2020__. - Danielle A. Brake, Jonathan D. Hauenstein, and Margaret H. Regan,

polyTop: Software for computing topology of smooth real surfaces (__pdf__,__software__).

A version of this extended abstract appeared in__LNCS, 10931, 397-404, 2018__.

Presented by Margaret H. Regan at__ICMS 2018__. - Jonathan D. Hauenstein and Margaret H. Regan,

Adaptive strategies for solving parametrized systems using homotopy continuation (__pdf__,__computation page__).

A version of this article appeared in__Applied Mathematics and Computation, 332, 19-34, 2018__. - Peter J. Collings, Joshua N. Goldstein, Elizabeth J. Hamilton, Bejamin R. Mercado, Kenneth J. Nieser, and Margaret H. Regan,

The nature of the assembly process in chromonic liquid crystals . A version of this article appeared in__Liquid Crystals Reviews, 3(1), 1-27, 2015__. - Elizabeth A. Mills, Margaret H. Regan, Vesna Stanic, and Peter J. Collings,

Large Assembly Formation via a Two-Step Process in a Chromonic Liquid Crystal . A version of this article appeared in__The Journal of Physical Chemistry B, 116 (45), 13506-13515, 2012__.

University of Notre Dame - ACMS 20620 - Applied Linear Algebra

__Course Syllabus__
__Homework Assignments__

*Exam Schedule:*

- Midterm 1 -- Friday, March 1 (in class)
- Midterm 2 -- Wednesday, April 17 (in class)
- Final -- Thursday, May 9 from 4:15 - 6:15 pm

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__)