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.

Please note: Margaret has left the Mathematics department at Duke University; some info here might not be up to date.

Contact Info: 

Office Location:	120 Science Drive, Durham, NC 27708
Email Address:
Web Pages:	http://www.margaretregan.com https://duke.box.com/s/leywwvcsb61lsthq7yi2emauytu3mhxs

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)

1. Rotzoll, M; Regan, MH; Husty, ML; Hayes, MJD, Kinematic geometry of spatial RSSR mechanisms, Mechanism and Machine Theory, vol. 185 (July, 2023) [doi]  [abs]
2. Bernal, EA; Hauenstein, JD; Mehta, D; Regan, MH; Tang, T, Machine learning the real discriminant locus, Journal of Symbolic Computation, vol. 115 (March, 2023), pp. 409-426 [doi]  [abs]
3. 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]
4. Regan, M; Hauenstein, J, Real monodromy action, Applied Mathematics and Computation, vol. 373 (May, 2020), pp. 124983-124983, Elsevier [doi]
5. 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]