Geometry and Analysis

Geometry research at York includes: Differential Geometry including harmonic maps and sections; variational theory of Riemannian G-structures; integrable surface theory (minimal surfaces, CMC surfaces, Willmore surfaces); Geometric Group Theory including the interplay between groups and manifolds, particularly in hyperbolic geometry; Geometric Invariant Theory including the theory of invariants of linear algebraic groups acting on algebraic varieties.  Our analysts are active in functional analysis, operator theory and harmonic analysis, and in applications of analysis to integral and differential equations and signal processing. We also have expertise in probabilistic methods in Dynamical Systems and Ergodic Theory.



Photo: phila4 by fdecomite, licensed under CC BY 2.0