PhD in Mathematics - Geometry and Analysis in York United Kingdom | University of York

Our work spans diverse domains within geometry and analysis, creating meaningful contributions across academic and practical applications.
In geometry, our investigations focus on:
differential geometry, encompassing harmonic maps and sections
variational approaches to riemannian g-structures
minimal surfaces and harmonic maps connected to integrable systems or Higgs bundles, along with moduli spaces of equivariant minimal surfaces
geometric group theory, particularly exploring connections between groups and manifolds, with emphasis on hyperbolic geometry
geometric invariant theory, including invariant studies of linear algebraic groups operating on algebraic varieties
moduli spaces emerging in gauge theory as symplectic and hyperkahler quotients.
Our analysts specialize in functional analysis, operator theory, harmonic analysis, and analytical applications to integral/differential equations and signal processing. We additionally possess deep knowledge of probabilistic techniques in dynamical systems and ergodic theory.