Professor Department of Mathematical Sciences George Mason University Fairfax, Virginia

News

• In Fall 2026, I am organizing the Lean Learning Seminar. I am keeping a relevant List of Reading Materials including the news articles on new AI-Lean math results.
• I have advised vertically integrated graduate-undergraduate research projects at MEGL, most recently “Predicting Flood Zones Using Topological Data Analysis”. This project is still ongoing, though not under MEGL.

Research

My current research is primarily in the fields of dynamical systems and mathematical visualization and design. Recent research includes

• Study of quasiperiodicity and chaos
• Computational methods for studying dynamics
• Rigorous computation of bifurcations
• Phase field models in materials science
• Mathematical visualization

Recent papers and submissions:

• 3D Printing of Invariant Manifolds in Dynamical Systems, with Patrick R. Bishop, Summer Chenoweth, Emmanuel Fleurantin, Alonso Ogueda-Oliva, and Julia Seay, cover article in the AMS Notices (January 2026)
• Validation of Symmetry Induced Bifurcation Points in Nonlinear Diffusion Problems, with Maxime Breden and Thomas Wanner (2026)
• Dynamics of Perturbed Elliptic Billiard Tables, with Patrick R. Bishop, Summer Chenoweth, Emmanuel Fleurantin, and Jay Mireles James (2026)

For more details, see my Publications and Talks.

Teaching

• In July 2025 I taught an SL Math Summer Course Computer Assisted Proofs in Applied Mathematics with Jonathan Jaquette. I taught this material again as a Special Topics Graduate Class in Spring 2026.
• Fall 2026, I am teaching Mathematics Through 3D Printing, a course I have developed.

For more details, see my Teaching and Students pages.

Service

• Former Editor-in-Chief and current Associate Editor, SIAM Journal on Applied Dynamical Systems
• Council Member, SIAM
• Member, SIAM Journal Committee, 2026-2028
• Director of Graduate Studies, Department of Mathematical Sciences, George Mason University

For a complete list of my editorial, professional, and conference service, see my Service page.

Outreach and Resources

• I run the GMU Math Makerlab
• Wondering about math careers? See Why Math?
• Mathematical movies