Research Interests

My main mathematical interests are in the general area of nonlinear analysis. I am interested in both developing tools and methods, especially in the calculus of variations, and in applying such techniques to problems in partial differential equations (PDEs) and in dynamical systems. For PDEs, I have primarily studied the existence of solutions for nonlinear elliptic and hyperbolic equations; for dynamical systems, the existence of periodic solutions and connecting orbits.

Membership Type


Election Year


Primary Section

Section 11: Mathematics

Secondary Section

Section 32: Applied Mathematical Sciences