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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

Jürgen Berndt

Professor of Mathematics

Peter  Jossen

Lecturer in Pure Mathematics

Jean Lagacé

Lecturer in Pure Mathematics

Stephen Lynch

Lecturer in Pure Mathematics

Publications

    Activities

    KONNI
    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.

    Cubic
    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.

      3D graphs on keyboard
      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.

        Variety of graphs
        G2 Days

        G2 Days - 11-12 June 2012.

          Variety of black and white graphs and mathematical equipment in graphics form
          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.

            Variety of graph in graphic form
            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.

              Blue graphs and equations
              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.

                Blue line graph, green bar graph and red scatter plot
                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).

                  News release-img
                  Ragini Singhal

                  Former members

                  Postdocs

                  PhD students

                   

                  People

                  Jürgen Berndt

                  Professor of Mathematics

                  Peter  Jossen

                  Lecturer in Pure Mathematics

                  Jean Lagacé

                  Lecturer in Pure Mathematics

                  Stephen Lynch

                  Lecturer in Pure Mathematics

                  Publications

                    Activities

                    KONNI
                    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.

                    Cubic
                    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.

                      3D graphs on keyboard
                      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.

                        Variety of graphs
                        G2 Days

                        G2 Days - 11-12 June 2012.

                          Variety of black and white graphs and mathematical equipment in graphics form
                          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.

                            Variety of graph in graphic form
                            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.

                              Blue graphs and equations
                              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.

                                Blue line graph, green bar graph and red scatter plot
                                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).

                                  News release-img
                                  Ragini Singhal

                                  Former members

                                  Postdocs

                                  PhD students