Alan David Weinstein

Research centers on symplectic geometry and its applications in mathematical physics, especially at the interface between classical and quantum mechanics. He established the existence of periodic orbits for certain hamiltonian systems and formulated conjectures which have stimulated work in symplectic topology through the present day. Other achievements include general reduction theory for hamiltonian systems with symmetry, systematic study of the geometry of Poisson brackets, introduction of groupoid methods in Poisson geometry, and study of categories of lagrangian correspondences.