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.
Prospective students are warmly invited to email staff to discuss potential projects, so that we can ensure the best fit between staff and students.
Information about the application process and funding opportunities can be found at the Research courses: MSc, PhD, MPhil page.
Staff supervising projects in this area are:
Projects in analysis are also offered by members of the Mathematical Finance and Stochastic Analysis Research Group. Projects of a geometric flavour are also offered by Eli Hawkins (Mathematical Physics)