The group's research interests range from function theory of several complex variables, harmonic analysis, to critical point theory, linking, dynamical systems, sandwich pairs, minimax, Schrodinger operators, photonic lattices, and the analysis of nonlinear partial differential equations including a variety of fluid dynamic models, nonlinear diffusions, free boundary problems, elliptic and Hamilton-Jacobi equations, as well as homogenization and weak KAM theory.
The group runs two weekly research seminars and a weekly learning seminar.