Jean-Philippe Lessard

Jean-Philippe Lessard is an Associate Professor in the Department of Mathematics and Statistics at McGill University. He holds a PhD from Georgia Tech (2007) and has held postdoctoral positions at the Institute for Advanced Study (IAS), Rutgers University, and VU University Amsterdam. His research focuses on rigorously verified computing, dynamical systems, and computer-assisted proofs in PDEs, ODEs, and delay equations.

Education:

• PhD in Mathematics, Georgia Tech, 2007
• MSc in Mathematics, Université de Montréal, 2002

Research Interests:

Lessard's work emphasizes validated numerical methods, bifurcation theory, and topological techniques. Key areas include computer-assisted proofs for periodic orbits, invariant manifolds, and solutions of nonlinear PDEs like the Navier-Stokes and Swift-Hohenberg equations. He also studies delay differential equations and Morse-Conley-Floer homology.

Articles Trends:

His recent work explores rigorous integration of PDEs via spectral methods, bifurcation analysis in N-body problems, and validation of solutions in complex systems like Bose-Einstein condensates and suspension bridges.

Awards:

• 2016 CAIMS/PIMS Early Career Award in Applied Mathematics

Advising/Grants:

He supervises PhD students and postdocs through programs like CRM-ISM, focusing on computational dynamics and rigorous numerics. His research has been supported by grants in applied mathematics and computational science.

Labs/Teams:

Past leadership includes the Computational Mathematics team at BCAM (2010-2011). Currently, he contributes to McGill's research groups in dynamical systems and PDEs.