Margaret H. Regan

Applied Math PhD Candidate

About Me

I am an Applied Math PhD Candidate (third year) in the Applied and Computational Mathematics and Statistics Department at the University of Notre Dame. My advisor is Jonathan Hauenstein and I study algorithms for and applications of numerical algebraic geometry. My main interests lie in numerical analysis problems related to engineering and physics applications.

I was born in New York City and grew up in Montclair, New Jersey. I attended Swarthmore College in Pennsylvania where I graduated with a B.A. in Mathematics and Physics with Honors.

Recently, I have received two SIAM Student Travel Awards for an algebraic geometry conference in August of 2017 and the annual meeting in July of 2018, as well as an Honorable Mention for the National Science Foundation Graduate Research Fellowship. In August of 2016, I was awarded the Schmitt Fellowship through the University of Notre Dame.

Outside of academics I love to read, play with my bunnies, and exercise (mainly swim). In September of 2016 I completed a six person relay crossing of the English Channel. It was an amazing experience! Now, I train with a local masters swim team at Notre Dame and compete in both swimming and triathlons.

Curriculum Vitae

CV Last Updated: 11/09/2017


  1. 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 will appear in LNCS, 10931.
    To be presented by Margaret Regan at ICMS 2018.

  2. 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.

  3. Peter J. Collings, Joshua N. Goldstein, Elizabeth J. Hamilton, Bejamin R. Mercado, Kenneth J. Nieser, Margaret H. Regan,
    The nature of the assembly process in chromonic liquid crystals (pdf).

  4. Elizabeth A. Mills, Margaret H. Regan, Vesna Stanic, Peter J. Collings,
    Large Assembly Formation via a Two-Step Process in a Chromonic Liquid Crystal (pdf).



Applications of Homotopies for Overdetermined Systems


polyTop: Software for computing topology of smooth real surfaces


Westville Education Initiative - Math 113 - College Algebra

University of New Hampshire - Math 426 - Calculus 2 (Teaching Assistant) (student reviews)