My mathematical interests mainly concern specialties called differential geometry and partial differential equations.
Differential geometry is the study of curved surfaces and their higher-dimensional generalizations.
It is the mathematics behind general relativity as well as the basis for the study of dynamical systems. Partial differential equations concern how quantities that depend on more than one variable change with time. As is often the case with mathematics, it turns out that the mathematics that we use to understand this problem can also be used to understand other things.