Applications of global analysis to the sciences
Calculus on manifolds; nonlinear operators
General theory of differentiable manifolds
Infinite-dimensional manifolds
Partial differential equations on manifolds; differential operators
Pseudogroups, differentiable groupoids and general structures on manifolds
Spaces and manifolds of mappings (including nonlinear versions of 46Exx)
Theory of singularities and catastrophe theory
Variational problems in infinite-dimensional spaces