This course studies real variable methods for singular integrals and related functional spaces.
Applies functional analysis to physical problems; scattering theory, statistical mechanics, and quantum field theory.
This is an interdisciplinary course that builds rigorous mathematical theory of fluid flows and provides applications to physics and engineering. Topics include Eulerian and Lagrangian formulation, conservation laws, special solutions, …
Studies selected topics in algebraic or analytic number theory
This course provides the opportunity to offer a new topic in the subject of mathematics.
The foundations of commutative algebra, algebraic number theory, or algebraic geometry.
Studies the foundations of algebraic geometry.
Theory of number fields and local fields, ramification theory, further topics as chosen by instructor.
Studies basic results concerning Lie groups, Lie algebras, and the correspondence between them.
Studies basic structure theory of Lie algebras.