Mathematics

Personal

RESEARCH

As of August 2006, I am an Assistant Professor in the Department of Mathematics and Statistics at the American University of Sharjah in the United Arab Emirates. I obtained my undergraduate degree from the University of Queensland (Australia), and my PhD from Rutgers University (USA) in October 2003 under the direction of Yi-Zhi Huang. From 2003 to 2006 I was a Hildebrandt Assistant Professor at the University of Michigan. I spent the 2004/5 academic  year  at the Max Planck Institute for Mathematics in Bonn, Germany.

My research interests lie at the interface of Conformal Field Theory and the complex analytic theory of  the  Teichmueller spaces of Riemann surfaces. This work fits within the program of using Vertex Operator Algebras to rigorously construct conformal field theory in the sense of G. Segal as reviewed here.

Click on the above "research" link for copies of my papers, slides, PhD thesis and further information.

Key Terms: Teichmüller and moduli space theory. Mathematical foundation and construction of conformal field theory. Rigged Riemann surfaces, quasiconformal mappings, sewing, conformal welding, lambda-lemma, Schiffer variation, geometric function theory, determinant line bundles, modular functors, and vertex operator algebras.

MSC2000: 32G15, 81T40, 17B69, 30F60, 46G20

TEACHING

Current course information is on the internal ilearn pages at the American University of Sharjah .

I have been tutoring and lecturing in a formal capacity at Universities since 1995. Courses have ranged from calculus for liberal arts students through to senior mathematics courses in analysis and differential geometry. The majority of my experience has been in the standard calculus, differential equations and linear algebra sequence for engineers.

Click on the above "teaching" link for old course web pages and materials, student comments and more.

Personal homepage of David, Elina (aka Laura)  and Samuel

Follow this link for photos, etc

(update 03/06/2008)