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I am an assistant professor at the University of Western Ontario in London Ontario.
My research area is numerical algebraic geometry - the study of solving polynomial equations numerically.
Polynomial equations appear in both 'pure' math and throughout applications. If you are having trouble solving a polynomial system, please drop me an email and I'd be happy to chat!
My research group currently consists of Noah Vale (Undergraduate), Juhee Kim (M.Sc.), David Johnson (M.Sc.), and Deepak Mundayur (PhD).
Our work has several themes, including
-The automation of algorithms for studying enumerative problems
-The analysis of randomized algorithms in the context of numerical algebraic geometry using probabilistic group theory
-Studying the monodromy groups of enumerative problems, in particular, sparse polynomial systems
-Developing low-memory (lazy) versions of existing algorithms in numerical algebraic geometry
-Expanding the certification/verification toolbox of numerical algebraic geometry
This work lends itself well to rapid onboarding onto research projects. So if you are an undergraduate student interested in working on a research problem, please reach out and we can talk about what opportunities exist!
News
A counterexample to Fermi isospectral rigidity for two dimensional discrete periodic Schrödinger operators (with M. Faust and W. Liu) is on the arXiv
How to recover a permutation group amidst errors (with J. Kim) is on the arXiv.
Marvelous Slices of Orthogonal Matrices (with F. Gesmundo) is on the arXiv.
David Johnson is the regional winner (for the Americas) in mathematics and physics for his undergraduate thesis on circular orchard planting and the nine-point synthesis problem
Upcoming Events
(*) Attending (**) Attending & Organizing
*Macaulay2 Meeting at Georgia Tech
**SIAM Annual Meeting - July 6-10, 2026. Cleveland, Ohio
MEGA - July 6-10, 2026. Durham, UK
*FoCM - July 8-18, 2026. Vienna Austria
ISAAC - July 13-17, 2026. Oldenburg, Germany
ICMS - July 20-23, 2026 Waterloo, Ontario
(*) CCCG - August 12-14, 2026 Orillia, Ontario
CanaDAM - 2027, UBC
**IPAM workshop on NAG - March 30-April 2, 2027. Los Angeles, CA
**Numerical Algebraic Geometry Workshop (Summer 2027)
Past Events
JMM - Washington DC - Jan 4-8, 2026
*Georgia Tech - Nov 9-12, 2025
*Waterloo - Dec 4, 2025
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