Dr Stephen Lynch
Lecturer in Pure Mathematics
Research interests
- Mathematics
Contact details
Biography
Dr Stephen Lynch is a Lecturer in Pure Mathematics at King’s. He studied at the University of Queensland and Free University of Berlin before obtaining a PhD at the University of Tuebingen. He then joined Imperial College as a Chapman Fellow.
Research interests
Dr Lynch’s field of study is geometric analysis. He is particularly interested in using nonlinear elliptic and parabolic PDE to answer questions in geometry. He has made significant contributions to the analysis of singularities in geometric flows (mean curvature flow, fully nonlinear flows for hypersurfaces, Ricci flow). He also works on minimal submanifolds and their connection with semilinear PDE arising from the theory of phase-transitions (Allen--Cahn, Ginzburg--Landau).
- Nonlinear PDE
- Riemannian geometry
- Geometric flows
- Minimal submanifolds
- Geometry of phase-transition models
Further information
Research
Analysis
The Analysis Group's research interests focus mainly on PDEs, operator theory and spectral theory.
Geometry
The Geometry Group focuses on topics within the following areas: algebraic geometry, cohomology theories, differential geometry, geometric analysis, homogeneous space, Lie groups, mirror symmetry, and symplectic geometry.
Research
Analysis
The Analysis Group's research interests focus mainly on PDEs, operator theory and spectral theory.
Geometry
The Geometry Group focuses on topics within the following areas: algebraic geometry, cohomology theories, differential geometry, geometric analysis, homogeneous space, Lie groups, mirror symmetry, and symplectic geometry.