PhD in Mathematics - Geometry and Analysis

University of York

We explore broad areas of geometry and analysis, generating impact in academic and non-academic spheres.Our research interests in geometry include:differential geometry, including harmonic maps and sectionsvariational theory of riemannian g-structuresminimal surfaces and harmonic maps related to integrable systems or Higgs bundles; moduli spaces of equivariant minimal surfacesgeometric 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 varietiesmoduli spaces appearing in gauge theory as symplectic and hyperkahler quotients.Our analysts are active in functional analysis, operator theory, 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.