Jean-Philippe Lessard
McGill University Jean-Philippe Lessard

Jean-Philippe Lessard

Professor of Mathematics

Department of Mathematics and Statistics
McGill University, Montréal

Research areas

Infinite dimensional dynamical systems, computer-assisted proofs, partial differential equations, delay differential equations, ordinary differential equations, celestial mechanics, topological methods, fixed point methods, functional analytic methods, continuation methods, approximation theory, spectral methods, bifurcation theory, stable and unstable manifolds, chaotic dynamics, Morse–Conley–Floer homology.

Short biography

Ph.D. Georgia Tech (2007, advisor Konstantin Mischaikow); M.Sc. Université de Montréal (2002); B.Sc. Université de Sherbrooke (2000). After postdoctoral positions at VU University Amsterdam, Rutgers University and the Institute for Advanced Study (NSF Mathematical Sciences Institutes Postdoctoral Fellow), he led the Computational Mathematics research line at BCAM in Bilbao. He was a professor at Université Laval (2011–2017) and joined McGill University in 2017, where he has been Professor since 2022. He was Deputy Director of Scientific Programs at the Centre de recherches mathématiques (CRM) (2019–2021) and serves on the editorial board of the Journal of Dynamics and Differential Equations.

News

Online profiles and CV

Google Scholar ResearchGate Curriculum Vitae (PDF)

Recent work

  1. [82]
    Platonic constellations of periodic motions in the (n+1)- body problem Preprint
    K. Constantineau, C. García-Azpeitia and J.-P. Lessard
    Preprint, 2026
    arXiv:2609.10242
  2. [81]
    Rigorous Validation of Cusp Bifurcations of Stationary Periodic Patterns in Partial Differential Equations Preprint
    D. Blanco and J.-P. Lessard
    Preprint, 2026
    arXiv:2608.15613
  3. [80]
    Spatially inhomogeneous two-cycles in an integrodifference equation To appear
    K. Church, K. Constantineau and J.-P. Lessard
    To appear in SIAM Journal on Applied Dynamical Systems, 2026
    arXiv:2510.21134
  4. [79]
    From heteroclinic loops to homoclinic snaking in reversible systems: rigorous forcing through computer-assisted proofs To appear
    J.B. van den Berg, G. Duchesne and J.-P. Lessard
    To appear in SIAM Journal on Applied Dynamical Systems, 2026
    arXiv:2507.16798
  5. [78]
    From the Lagrange Triangle to the Figure Eight Choreography: Proof of Marchal’s Conjecture To appear
    R. Calleja, C. García-Azpeitia, O. Hénot, J.-P. Lessard and J.D. Mireles James
    To appear in the Transactions of the American Mathematical Society, 2026
    arXiv:2406.17564

All publications →

This page was last updated on September 16, 2026.