EPSRC grant   I have just been awarded an EPSRC grant to fund my project "Special holonomy: geometric flow and boundary value problems". As a result, I will be advertising for a 2 year postdoc to work on this project. If you are interested in the position and wish to chat about it please feel free to contact me.
Fourth year projects   I will be offering fourth year projects at UCL on de Rham cohomology and holonomy. Further details are given on my teaching page.
I work on differential geometry, with a particular focus on Riemannian manifolds with special holonomy, their calibrated submanifolds, and related geometries. I am also interested in geometric flows, particularly Lagrangian mean curvature flow. I mainly use methods from geometric analysis and exterior differential systems, which have applications throughout geometry and other areas in mathematics. For further details, and if you are interested in pursuing PhD studies with me, see my research page.
The geometries I study are important from the mathematical point of view both because of their special nature, since they can only occur in certain dimensions and are connected with Einstein metrics and gauge theory, and also because they are related to the familiar and well-studied theories of minimal submanifolds and complex geometry. Moreover, the objects I investigate are of potential importance in high-energy theoretical physics, appearing in a number of papers on String Theory and M-Theory.
I am an EPSRC Career Acceleration Fellow and Lecturer in Pure Mathematics at University College London. I was previously a member of the Geometry group at Imperial College, London and I spent the academic year 07-08 at MSRI, Berkeley, working with Robert Bryant. My DPhil supervisor was Dominic Joyce. For further details see my about page.
I am a co-organiser of the joint KCL/UCL Geometry Seminar. I also co-organised G 2 Days, 11-12 June 2012 at King's and UCL, and UCL Geometry and Topology Days on 20 Febuary and 20 March 2013 which was supported by an LMS conference grant.
You can now follow me on Twitter @jdlotay and you can find out more about geometry and topology at UCL by looking at the UCL Geometry and Topology Group webpage.