Loyola Marymount University. Applications of nonlinear differential equations: collaboration with biologists and sociologists to bring more realism to mathematical models.

Applied mathematics, partial differential equations

Veblen Research Instructor, Department of Mathematics, Princeton University. Subjects: geometric analysis, nonlinear partial differential equations, geometric measure theory.

Chinese Academy of Sciences. Partial Differential Equations and Mathematical Physics: in particular, Schroedinger-Poisson systems, Schroedinger equations, Hartree equations and harmonic analysis.

University of Bristol. Semigroups of Linear Operators with Applications to PDEs; Dirichlet Forms and Markov Semigroups; Qualitative Theory of Elliptic and Parabolic PDEs; Spectral Theory. Publications, projects.

University of Bristol. Nonlinear elliptic partial differential equations; variational and topological methods of nonlinear analysis with applications to PDEs;Dirichlet forms and applications to nonlocal nonlinear problems. Publications, teaching material.

University of Bristol. Functional Spaces;Partial differential equations; Spectral theory. Publications, projects.

Poznañ University of Technology. Difference equations.

Rutgers University. Nonlinear PDEs. Papers and teaching material.

Université de Paris VI. Elliptic differential equations.

University Paris XI, Orsay. Nonlinear elliptic PDEs.

University of Bristol. Partial differential equations, in particular spectral geometry.