Margaret Hayley 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.

Current Research Interests

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. My goal is to work to solve systems efficiently yet accurately when only real solutions are important.  With Ezra Miller I am exploring projects involving computing real multiparameter persistent homology with applications to biology.

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)

Current Appointments & Affiliations

Contact Information

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