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."

- Jan. 2024: MAA Project NExT Panel on Setting a New Standard: Implementing Standards-Based Grading
- Jan. 2024: Speaker at JMM 2024 AMS Special Session on the Mathematics of Computer vision
- May 2024: Attending the BIRS Conference at the University of Granada on "Positive Solutions of Polynomial Systems Arising from Real-life Applications"
- June 2024: Speaker at Fields Institute Workshop on Computational and Applied Enumerative Geometry
- July 2024: Speaker at ICMS 2024 Session on Computational aspects in algebraic geometry

- Numerical (real) algebraic geometry and numerical analysis
- Algorithms for solving parameterized polynomial systems and analyzing solution behavior
- Applications of all of the above - e.g., computer vision, kinematics, biology, and more
- Commutative algebra and real multi-parameter persistent homology

- (Marathon) swimming
- Triathlons
- Reading fantasy and sci-fi books
- True crime podcasts
- Knitting and needlepoint
- Animals - my 2 dogs (Hutch and Steuben) and my 2 rabbits (Flopsy and Lucky) especially!

CV Last Updated: 12/19/2023

- Timothy Duff, Viktor Korotynskiy, Tomas Pajdla, and Margaret H. Regan,

Using monodromy to recover symmetries of polynomial systems.*Submitted*. - 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__).*Submitted*. - Timothy Duff, Viktor Korotynskiy, Tomas Pajdla, and Margaret H. Regan,

Using monodromy to recover symmetries of polynomial systems (__pdf__).

A version of this article appeared in__ISSAC 2023, Association for Computing Machinery, 251-259.__. - Mirja Rotzoll, Margaret H. Regan, Manfred L. Husty, and M. John D. Hayes,

Kinematic geometry of spatial RSSR mechanisms (__pdf__).

A version of this article appeared in__Mechanism and Machine Theory, 185, 105335, 2023__. - Edgar A. Bernal, Jonathan D. Hauenstein, Dhagash Mehta, Margaret H. Regan, and Tingting Tang,

Machine Learning the Discriminant Locus (__pdf__).

A version of this article appeared in__Journal of Symbolic Computation, 115, 409-426, 2023__. - Timothy Duff and Margaret H. Regan,

Polynomial systems, homotopy continuation, and applications (__pdf__).

A version of this article appeared in__Notices of the American Mathematical Society, 70(1), 151-155, 2023__. - 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 appeared in__IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI), 1-14, 2022__. - Timothy Duff, Viktor Korotynskiy, Tomas Pajdla, and Margaret H. Regan,

Galois/monodromy groups for decomposing minimal problems in 3D reconstruction (__pdf__).

A version of this article appeared in__SIAM Journal on Applied Algebraic Geometry, 6(4), 740-772, 2022.__. - 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__. - 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 appeared in__2020 IEEE/CVPR Conference on Computer Vision and Pattern Recognition__. - Jonathan D. Hauenstein and Margaret H. Regan,

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

A version of this article appeared in__LCNS, 12097, 61-69, 2020__.

Presented by Margaret H. Regan at__ICMS 2020__. - 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__. - 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__. - 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__.

__College of the Holy Cross__

- MATH 135 - Calculus 1 (Spring 2024)
- MATH 244 - Linear Algebra (Spring 2024)
- MATH 136 - Calculus 2 (Fall 2023)
__Course Syllabus__

**Duke University**

- MATH 221 - Linear Algebra and Applications (Spring 2023)
__Course Syllabus__ - MATH 502 - Algebraic Structures II (Spring 2023)
__Course Syllabus__ - MATH 221 - Linear Algebra and Applications (Fall 2022)
__Course Syllabus____Course Schedule____Homework Assignments__ - MATH 353A - Ordinary and Partial Differential Equations (Pratt in Costa Rica Program -- Summer 2022 Term 2)
__Course Syllabus____Course Schedule__ - MATH 490 - Topics Course in Numerical Algebraic Geometry (Spring 2022)
__Course Syllabus__ - MATH 221 - Linear Algebra and Applications (Fall 2021)
__Course Syllabus____Homework Assignments__ - MATH 221 - Linear Algebra and Applications (Spring 2021)
__Course Syllabus____Homework Assignments__ - MATH 371 - Combinatorics (Fall 2020)
__Course Syllabus____Homework Assignments__

**University of Notre Dame**

- ACMS 20620 - Applied Linear Algebra (Fall 2019)
__Course Syllabus____Homework Assignments__

**Westville Education Initiative, Holy Cross College**

- MATH 210 - Statistics (Teaching Assistant -- Fall 2017)
- MATH 113 - College Algebra (Summer 2017)
__Course Syllabus__

**University of New Hampshire**

- MATH 426 - Calculus 2 (Teaching Assistant -- Spring 2015) (
__student reviews__)