Margaret Hayley Regan grew up in Montclair, New Jersey before attending Swarthmore College in Pennsylvania, where she graduated with a B.A. in Mathematics and Physics with Honors in 2014. At Swarthmore she also received her teaching certificate in secondary education in mathematics and physics. After attending Swarthmore, Regan worked for Cambridge Associates, a finance company in Boston, MA for a short time before entering graduate school in applied mathematics. Regan completed her PhD at the University of Notre Dame in 2020 with a dissertation entitled "Parameterized Polynomial Systems and Their Applications." The research associated with her PhD focused on numerical algebraic geometry in applications such as kinematics and computer vision. Regan is currently a William E. Elliott Assistant Research Professor at Duke.

Her expertise is in solving polynomial systems using numerical algebraic geometry with a focus on real solution sets that are applicable for real world scenarios in kinematics, computer vision, and biology.

Office Location: | 120 Science Drive, Durham, NC 27708 |

Office Phone: | (919) 660-2800 |

Email Address: | |

Web Pages: | http://www.margaretregan.comhttps://duke.box.com/s/leywwvcsb61lsthq7yi2emauytu3mhxs |

**Teaching (Spring 2022):**

- MATH 490.01,
*TOPICS IN MATHEMATICS*Synopsis- Physics 047, TuTh 03:30 PM-04:45 PM

**Office Hours:**- Tuesdays 10:00 - 11:00 am ET in my office

Tuesdays 3:15 - 4:15 pm ET in my office

Fridays 1:00 - 2:00 pm ET on Zoom

Contact me for Zoom information*(or by appointment)*

**Education:**Ph.D. University of Notre Dame 2020

**Keywords:**Algebraic geometry • Applications in numerical analysis • General applied mathematics • Geometric methods (including applications of algebraic geometry)

**Recent Publications**- Fabbri, R; Duff, T; Fan, H; Regan, M; da Costa de Pinho, D; Tsigaridas, E; Wampler, C; Hauenstein, J; Giblin, P; Kimia, B; Leykin, A; Pajdla, T,
*TRPLP – Trifocal Relative Pose From Lines at Points*, Proceedings of the Ieee/Cvf Conference on Computer Vision and Pattern Recognition (Cvpr) (June, 2020), pp. 12073-12083, IEEE [doi] - Regan, M; Hauenstein, J,
*Real monodromy action*, Applied Mathematics and Computation, vol. 373 (May, 2020), pp. 124983-124983, Elsevier [doi] - Hauenstein, J; Regan, M,
*Evaluating and differentiating a polynomial using a pseudo-witness set*, Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12097 (2020), pp. 61-69, Springer-Verlag, ISBN 9783030521998 [doi] - Regan, M; Hauenstein, J,
*Adaptive strategies for solving parameterized systems using homotopy continuation*, Applied Mathematics and Computation, vol. 332 (September, 2018), pp. 19-34, Elsevier [doi] - Brake, D; Hauenstein, J; Regan, M,
*polyTop: Software for computing topology of smooth real surfaces*, Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10931 (2018), pp. 397-404, Springer-Verlag, ISBN 9783319964171 [doi]

- Fabbri, R; Duff, T; Fan, H; Regan, M; da Costa de Pinho, D; Tsigaridas, E; Wampler, C; Hauenstein, J; Giblin, P; Kimia, B; Leykin, A; Pajdla, T,