Paul Tod's
Home Page
Contact:
-
E-mail: tod@maths.ox.ac.uk
-
Institute phone: 44-1865-273527
-
College phone: 44-1865-277361
-
Fax: 44-1865-273583
Position
I am a University Lecturer in Mathematics (with the title
of Professor) and a tutorial fellow of St
John's College . I was an undergraduate at the University
of Cambridge and a graduate student here in Oxford, where I was a student
of Roger Penrose. After two years at the University of Pittsburgh in the
mid-70's, I returned to Oxford and have been here since, apart from sabbatical
visits away.
Research interests
I am interested in differential geometry and applications
of it to physics, in particular general relativity and twistor theory.
In relativity, I have been working recently on isotropic cosmological singularities
and I have other papers in preparation on the subject. In differential
geometry, I have worked on Einstein-Weyl geometry and related topics (especially
hyper-Kahler and hypercomplex geometries). I recently completed a project with
a student Richard
Harrison and a collaborator Irene Moroz on an
analytical and numerical study of the
Schrodinger-Newton equations, see
math-ph/0208045 and math-ph/0208046 . I expect to be working on isotropic cosmological singularities again in the future. I am one of the organisers of a programme Global problems in mathematical relativity to take place at the Isaac Newton Institute in the second half of 2005.
Details of my research interests can be obtained
from my publications
list.
Books
I have jointly authored two books in the LMS Student Text
series published by CUP. These are
An
Introduction to Twistor Theory
An
Introduction to General Relativity
23/9/03, Paul Tod.