Partial Differential Equations


Group overview

This team is focused on rigorous analysis of the fundamental nonlinear differential equations occurring in scientific and engineering problems, and has natural ties with the groups in differential geometry, mathematical physics, analysis, and applied mathematics.

INFO for prospective students



Faculty Research Interests
Jingyi Chen
James Colliander Partial Differential Equations, Harmonic Analysis, Dynamical Systems
Stephen Gustafson Nonlinear PDEs from applied mathematics and mathematical physics, evolution equations, stability theory, scattering, solitons, topological solitons.
Young-Heon Kim Optimal transport, partial differential equations, and geometry.
Anotida Madzvamuse Coupling bulk-surface geometric PDEs with multi-physics for cell motility and pattern formation; Data-driven modelling in Experimental Sciences and Healthcare
Sebastien Picard Differential geometry, nonlinear PDE in complex geometry, Calabi-Yau geometry
Tai-Peng Tsai Partial differential equations from mathematical physics, including fluid and dispersive PDEs
Jun-Cheng Wei Nonlinear Partial Differential Equations/Semilinear Elliptic Equations/Nonlinear,Applied and Geometric Analysis/Mathematical Biology/Singular Perturbation Problems/Phase Transition
Emeritus Research Interests
Nassif Ghoussoub Variational Methods in PDEs, Functional Inequalities, Deterministic and stochastic Optimal mass transport
Postdoctoral Researchers Research Interests
Subhankar Sil