Taylor Brysiewicz

I am on parental leave Fall 2025

I received my PhD in mathematics from 'Texas A&M University' under the guidance of Frank Sottile. Afterwards (2020), I traveled to the 'Max Planck Institute for Mathematics in the Sciences' in Leipzig, Germany to join Michael Joswig's software group. In 2021 I came back to the US to work with Jonathan Hauenstein at the 'University of Notre Dame' as a postdoc. Since 2022, I have been an assistant professor at the University of Western Ontario in London Ontario. 

My research is in numerical algebraic geometry - I develop and use numerical algorithms for studying solutions to polynomial equations.
Current themes of my research include:
-Automation of algorithms for enumerative problems
-Analysis of randomized algorithms in numerical algebraic geometry
-Applications of probabilistic group theory to monodromy algorithms
-Low-memory methods for polynomial system solving
-Certification methods, verification methods, and heuristics in numerical algebraic geometry

News:

• 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

• Homotopy Iterators (with Hannah Friedman and Paul Breiding) is now on the arxiv

Information:

• The SIAM Annual Meeting is in Cleveland Ohio (July 6-10, 2026). There is an Algebraic Geometry track. Please contact me if you would like to discuss organizing a minisymposium website

• There is an IPAM worksop on Numerical Algebraic Geometry (March 30 - April 2, 2027) website as part of the long program "Numerical Algebraic Geometry and Correlated Electrons: Generalized Grassmannians, Response Functions and Excited States"