Imperial College London

Professor Mark Haskins FLSW

Faculty of Natural SciencesDepartment of Mathematics

Visiting Professor
 
 
 
//

Contact

 

+44 (0)20 7594 8550m.haskins CV

 
 
//

Location

 

668Huxley BuildingSouth Kensington Campus

//

Summary

 

Overview

Differential geometry and geometric analysis.

  • manifolds with exceptional holonomy especially manifolds with G2 holonomy.
  • Riemannian collapse and manifolds with special and exceptional holonomy.
  • calibrated geometries, particularly associative submanifolds of compact manifolds with G2 holonomy and singularities of special Lagrangian submanifolds.
  • geometric PDE gluing constructions of calibrated submanifolds.
  • applications of Geometric Measure Theory to calibrated geometry.
  • regularity results for calibrated currents.
  • differential geometric applications of integrable systems techniques.

Evolution equations from mathematical physics.

  • Solitons and breathers in spatially discrete models.
  • Adiabatic/slow-motion limits of geometric nonlinear wave equations, particularly wave maps.

Funding

Collaborators

Dr Lorenzo Foscolo, Stony Brook University, Nearly Kaehler geometry and singular spaces of exceptional holonomy.

Dr Johannes Nordstrom, Bath University, Manifolds with exceptional holonomy

Hans-Joachim Hein, Imperial College London, noncompact Kahler Ricci-flat manifolds

Johannes Nordstrom, Imperial College London, Manifolds with exceptional holonomy, G_2 manifolds, calibrated submanifolds, associative submanifolds.

Tommaso Pacini, Scuola Normale Superiore, Pisa, Special Lagrangian geometry, calibrated submanifolds and manifolds with exceptional holonomy.

Corti, Alessio, Maths, Imperial College London

Martin Speight, University of Leeds

Nikolaos Kapouleas, Brown University, Providence RI, Gluing methods in special Lagrangian geometry.

Guest Lectures

Recent progress in $G_2$ geometry, Perimeter Institute for Theoretical Physics, Waterloo, Canada, 2012

Gluing methods in calibrated geometry, Korean Institute for Advanced Study, Seoul, South Korea, 2012

Analytic methods in special Lagrangian geometry, Taida Institute for Mathematical Sciences, Department of Mathematics, National Taiwan University, Taipei, Taiwan, 2011

Research Staff

Di Nezza,E

Hein,HJ

Nordstrom,J

Research Student Supervision

Foscolo,L, On moduli spaces of periodic monopoles and gravitational instantons

Morris,D, Nearly Kaehler geometry in 6 dimensions