Contact InfoStanford University
Dept. of Mathematics, Bldg. 380
Stanford CA 94305
tel: (415) 347-6284
I am interested in the interplay between Geometry and Physics. My fundamental view is that mathematics is more than a analytical tool for solving problems; it is a guide to the fundamental structures and principles of the natural world. I am currently working on several projects:
- Computational Topology and Applications.
- DHFR Inhibitor and cancer therapies
- Moduli Space of Protein Topologies
- Multidimensional Variation of Topological Structure
- Mathematical Physics and High Energy Particle Theory
- Geometric Langlands and Quantum Field Theory. I propose an examination of the connection between the so called classical limit of the Geometric Langlands Conjecture and the full conjecture in the case of a hyperelliptic curve where many of the relevant moduli spaces can be explicitly calculated.
- Algebraic Geometry and Heterotic String Theory. A major deficit in the construction of Heterotic String theories is the lack of models with realistic particle spectrum. I propose to examine some promising candidate models building on techniques I developed previously