Members of the Geometry Group carry out research on topics within the following areas: algebraic geometry, cohomology theories, differential geometry, geometric analysis, homogeneous space, Lie groups, mirror symmetry, symplectic geometry and low-dimensional topology.
The group interacts with other research groups in Mathematics, including Analysis (via index theory), Financial Mathematics (formulation of SDEs), Number Theory (arithmetic geometry) and Theoretical Physics (special metrics in string theory).
Geometry seminars at King's
We hold a seminar series every Tuesday in term time from 3pm - 4.30pm. Please see the seminar website for the detailed schedule.
You can also subscribe to the seminar mailing list.
For more information, please contact Calum Spicer (calum.spicer@kcl.ac.uk).
London Topology and Geometry Seminar
The seminar is held by Imperial College on Friday afternoons.
For further details please see the London Topology and Geometry Seminar page.
UCL Geometry and Topology Seminar
The seminar is held by UCL on Wednesday afternoons. For more information, please see the UCL Geometry and Topology Seminar page.
People
Professor of Mathematics
PhD Student
PhD Student
Lecturer in Pure Mathematics
Lecturer in Pure Mathematics
Lecturer in Pure Mathematics
Publications
Activities
Mirror symmetry for cluster varieties and representation theory
King's hosted a week-long conference on the interface between geometry and representation theory with mirror symmetry for cluster varieties as a unifying theme in July 2024.
Kähler and Special Toric Geometry workshop
This workshop took place in Bush House on 20-22 May 2019. It was an Anglo-French initiative that combined interest in extremal Kähler metrics, exceptional holonomy, symplectic reduction, and moment map techniques. Visiting speakers included Hugues Auvray, Paul Gauduchon, Nicolina Istrati, Frances Kirwan, Eveline Legendre, and Yann Rollin. The workshop was supported by the Agence Nationale de la Recherche, the Simons Foundation and King's College London.
GEOMETRY DAY IV
Geometry Day IV - 9-10 May 2013. Included talks on: Minimal surfaces S in hyperbolic 3-manifolds N of finite volume, and in M x S^1, M a hyperbolic surface of finite area; Mean curvature flow with surgeries and geometric applications; Closed curves with prescribed curvature; Characterizing classical minimal surfaces via a new meromorphic quadratic differential; and Solution of the Plateau problem by Fuchsian systems.
G2 Days
G2 Days - 11-12 June 2012.
Geometry Day III
Geometry Day III - 4 May 2012. Included talks on: Structure of Kahler-Einstein limit spaces; Approximation theory for minimal surfaces and its applications; Area minimizing surfaces in mean convex 3-manifolds; Scalar curvature, isoperimetry and the L^{2}-conjecture in General Relativity; and Some analytic aspects of conformally invariant fully nonlinear equations.
Geometry Day II
Geometry Day II - 11 November 2011. Included talks on: The geometry of constant mean curvature surfaces embedded in R^3; Gluing methods in calibrated geometries; theory for the prescribed mean curvature equation with Dirichlet data; Singularities in Mean Curvature Flow; and A local structure theorem for stable codimension 1 integral currents.
Geometry Day
Geometry Day - 13 May 2011. Included talks on: Minmax surfaces and scalar curvature; Renormalized area, Willmore energy and boundary regularity; The role of minimal surfaces in the study of Allen-Cahn equation; Ricci flow with unbounded curvature; and Geometric Rigidity of Analytic Estimates on Bounded Total Curvature.
UK-Japan Winter School: New Methods in Geometry
UK-Japan Winter School: New Methods in Geometry, 10 - 13 January 2011. Organised by Jürgen Berndt. Dmitri Panov spoke on Polyhedral Kähler manifolds.
News
Five King's scientists win prestigious New Investigator Awards
The academics awarded over £2 million from the Engineering and Physical Sciences Research Council (EPSRC).
King's women in maths: Ragini Singhal
Ragini Singhal interview
Former members
Postdocs
- Martin De Borbon
- Jordan Hoffman
- Tim Magee
- Miguel Manzano Prego
- Daniel Platt
- Ragini Singhal
- Albert Wood
PhD students
- Ilaria Di Dedda
- Jamie Judd
- Teresa L”udenbach
- Francesca Tripaldi
- Alex Zhou
People
Professor of Mathematics
PhD Student
PhD Student
Lecturer in Pure Mathematics
Lecturer in Pure Mathematics
Lecturer in Pure Mathematics
Publications
Activities
Mirror symmetry for cluster varieties and representation theory
King's hosted a week-long conference on the interface between geometry and representation theory with mirror symmetry for cluster varieties as a unifying theme in July 2024.
Kähler and Special Toric Geometry workshop
This workshop took place in Bush House on 20-22 May 2019. It was an Anglo-French initiative that combined interest in extremal Kähler metrics, exceptional holonomy, symplectic reduction, and moment map techniques. Visiting speakers included Hugues Auvray, Paul Gauduchon, Nicolina Istrati, Frances Kirwan, Eveline Legendre, and Yann Rollin. The workshop was supported by the Agence Nationale de la Recherche, the Simons Foundation and King's College London.
GEOMETRY DAY IV
Geometry Day IV - 9-10 May 2013. Included talks on: Minimal surfaces S in hyperbolic 3-manifolds N of finite volume, and in M x S^1, M a hyperbolic surface of finite area; Mean curvature flow with surgeries and geometric applications; Closed curves with prescribed curvature; Characterizing classical minimal surfaces via a new meromorphic quadratic differential; and Solution of the Plateau problem by Fuchsian systems.
G2 Days
G2 Days - 11-12 June 2012.
Geometry Day III
Geometry Day III - 4 May 2012. Included talks on: Structure of Kahler-Einstein limit spaces; Approximation theory for minimal surfaces and its applications; Area minimizing surfaces in mean convex 3-manifolds; Scalar curvature, isoperimetry and the L^{2}-conjecture in General Relativity; and Some analytic aspects of conformally invariant fully nonlinear equations.
Geometry Day II
Geometry Day II - 11 November 2011. Included talks on: The geometry of constant mean curvature surfaces embedded in R^3; Gluing methods in calibrated geometries; theory for the prescribed mean curvature equation with Dirichlet data; Singularities in Mean Curvature Flow; and A local structure theorem for stable codimension 1 integral currents.
Geometry Day
Geometry Day - 13 May 2011. Included talks on: Minmax surfaces and scalar curvature; Renormalized area, Willmore energy and boundary regularity; The role of minimal surfaces in the study of Allen-Cahn equation; Ricci flow with unbounded curvature; and Geometric Rigidity of Analytic Estimates on Bounded Total Curvature.
UK-Japan Winter School: New Methods in Geometry
UK-Japan Winter School: New Methods in Geometry, 10 - 13 January 2011. Organised by Jürgen Berndt. Dmitri Panov spoke on Polyhedral Kähler manifolds.
News
Five King's scientists win prestigious New Investigator Awards
The academics awarded over £2 million from the Engineering and Physical Sciences Research Council (EPSRC).
King's women in maths: Ragini Singhal
Ragini Singhal interview
Former members
Postdocs
- Martin De Borbon
- Jordan Hoffman
- Tim Magee
- Miguel Manzano Prego
- Daniel Platt
- Ragini Singhal
- Albert Wood
PhD students
- Ilaria Di Dedda
- Jamie Judd
- Teresa L”udenbach
- Francesca Tripaldi
- Alex Zhou
Group lead
Professor of Geometry