UIC Graduate Analysis Seminar

Isometries of Real Normed Vector Spaces

The Haar measure on Compact Groups

Banach Limits

Curvature Functions for Surfaces and Elliptic PDEs

PDEs and Manifolds

Banach Algebras

The Inverse Function Theorem

Applications of Fourier Series

UIC Graduate Geometry, Topology, and Dynamics Seminar

Hyperbolic Structures on Surfaces


Curvatures of Compact Surfaces

Harmonic Functions on Manifolds / Quantum Ergodicity