Margaret H. Regan


Applied Math PhD Candidate

About Me


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.

Curriculum Vitae


CV Last Updated: 09/12/2019

Publications


  1. Ricardo Fabbri, Timothy Duff, Hongyi Fan, Margaret H. Regan, David da Costa de Pinho, Elias Tsigaridas, Charles W. Wampler, Jonathan D. Hauenstein, Benjamin Kimia, Anton Leykin, and Tomas Pajdla,
    Trifocal relative pose from lines at points and its efficient solution. Submitted.

  2. Jonathan D. Hauenstein and Margaret H. Regan,
    Real monodromy action (pdf). Submitted.

  3. 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 Regan at ICMS 2018.

  4. 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.

  5. 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.

  6. 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.

Research


CompVis

Applications of Homotopies for Overdetermined Systems

polyTop

polyTop: Software for computing topology of smooth real surfaces

ellipticPDEs

Numerically solving elliptic PDEs on real algebraic curves and surfaces

realMonodromy

Real monodromy action

Teaching


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)