Margaret H. Regan, William W. Elliott Assistant Research Professor
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.  Contact Info:
Teaching (Fall 2021):
 MATH 221.01, LINEAR ALGEBRA & APPLICA
Synopsis
 Physics 119, TuTh 01:45 PM03:00 PM
 MATH 221.05, LINEAR ALGEBRA & APPLICA
Synopsis
 Physics 119, TuTh 08:30 AM09:45 AM
 MATH 721.01, LINEAR ALGEBRA & APPLICA
Synopsis
 Physics 119, TuTh 01:45 PM03:00 PM
 MATH 721.05, LINEAR ALGEBRA & APPLICA
Synopsis
 Physics 119, TuTh 08:30 AM09:45 AM
 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
(More Publications)
 Fabbri, R; Duff, T; Fan, H; Regan, MH; da Costa de Pinho, D; Tsigaridas, E; Wampler, CW; Hauenstein, JD; Giblin, PJ; Kimia, B; Leykin, A; Pajdla, T, TRPLP – Trifocal Relative Pose From Lines at Points,
2020 Ieee/Cvf Conference on Computer Vision and Pattern Recognition (Cvpr)
(June, 2020), IEEE [doi]
 Hauenstein, JD; Regan, MH, Real monodromy action,
Applied Mathematics and Computation, vol. 373
(May, 2020),
pp. 124983124983, Elsevier BV [doi]
 Hauenstein, J; Regan, M, Evaluating and differentiating a polynomial using a pseudowitness set,
Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12097
(2020),
pp. 6169, SpringerVerlag, ISBN 9783030521998 [doi]
 Hauenstein, JD; Regan, MH, Adaptive strategies for solving parameterized systems using homotopy continuation,
Applied Mathematics and Computation, vol. 332
(September, 2018),
pp. 1934, Elsevier BV [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. 397404, SpringerVerlag, ISBN 9783319964171 [doi]
