I received my Ph.D from Bath University in 2006
and am now postdoccing at UCI with Prof. Chuu-Lian Terng,
working on integrable systems. My thesis discussed several of
the incarnations of symmetric R-spaces in differential
geometry - including special submanifolds
(Line/sphere-congruences, Isothermic submanifolds) and the
application of parabolic subalgebras to the theory of
dressing-transforms.
Symmetric R-spaces: submanifold geometry
and transformation theory. PhD Thesis (supervised by Prof. Fran
Burstall) (pdf)
Isothermic Submanifolds of Symmetric R-spaces
(with Fran Burstall) - (in preparation)
Conformally flat submanifolds in spheres and integrable
systems (with Chuu-Lian Terng) - (preprint)
Isothermic hypersurfaces (with Chuu-Lian Terng) - (in
preparation)
Generators for rational loop groups and geometric
applications (with Daniel Fox and Oliver Goertsches) - (preprint)
Teaching
Spring 2008 I am teaching Math 13 An Introduction
to Abstract Mathematics (MWF 9am MSTB 122). I have previously
taught Math 2J (Linear Algebra and Infinite Series), Math 3A
(Linear Algebra), Math 120A (Group Theory) and Math 180 (Number
Theory).
St
Andrews in the Kingdom of Fife (it's where ah'm
fae - Americans please note that St.A is NOT in England): the
Toon, the
University, the Golf, me old School and the Cellar Bar (Irvine
publicans are advised to take a fact-finding trip to discover
how it's really done - anyone fancy opening a branch of CAMRA over here?)