Department of Mathematics, Campus聽Box聽395
235 Mathematics
University of Colorado at Boulder
Boulder, CO 80309-0395
Professor Fox received his Ph.D. in mathematics from the University of California Berkeley in 1983. His research in pure mathematics has been in harmonic analysis, operator K-theory, and non commutative differential geometry. He is currently starting a new research project in computational neurobiology with Robert Eaton EPOB. The project is to develop a computational model of the Mauthner neuron that describes the dynamics of the neuron at the molecular level. We are assembling a Beowulf cluster of workstations with a computational capacity of approximately 500 gigaflops that will be dedicated to computationally intensive problems in neuroscience. The research and the hardware is being supported by the National Science Foundation and the University of Colorado.
Selected Publications:
K homology and regular singular Dirac-Schrodinger operators on Even Dimensional Manifolds (with P. Haskell), Pacific Journal of Mathematics, vol 180, No. 2, 1997 pp 251-272.
Comparison of Perturbed Dirac Operators (with P. Haskell), Proceedings of AMS, Volume 124, Number 5, May 1996, 1601-1608.
Index Theory for Perturbed Dirac Operators on Manifolds with Conical Singularities (with P. Haskell), Proceedings of AMS, Vol 123, Number 7, July 1995, 2265-2273.