Professor of Mathematics
Department of Mathematics
University of North Florida
Jacksonville, FL 32224
(904) 620-2653
dbell@unf.edu



Education

B.Sc. University of Manchester, 1976
M.Sc. University of Manchester, 1977
Ph.D. University of Warwick, 1982

Area of Research

Stochastic analysis and related areas of mathematics. In particular: Borel measures on vector spaces. Stochastic differential equations and Malliavin calculus. Partial differential equations, hypoellipticity theory and boundary-value problems. Stochastic differential geometry. Biological and financial models.

Selected Publications

1. A quasi-invariance theorem for measures on Banach spaces. Trans. Amer. Math. Soc. 290 (1985) 851-855.
2. The Malian Calculus. Pitman Monographs and Surveys in Pure and Applied Mathematics, Vol. 34. Longman, Essex; Wiley, NY, 1987 (second edition published by Dover, 2006).
3. The Malliavin calculus and stochastic delay equations (with S. Mohammed). J. Funct. Anal. 99 (1991) 75-99.
4. An extension of Hormander's theorem for infinitely degenerate second-order operators (with S. Mohammed). Duke Math. J. 78 (1995) 453 - 475.
5. The Gauss-Bonnet theorem for vector bundles. J. Geom. 85 no. 1-2 (2006) 15-21.
6. Divergence theorems in path space III: hypoelliptic diffusions and beyond. J. Funct. Anal. 252, no. 1 (2007) 232-253.

Publications (with links to on-line papers)


Talks


Grants and Awards


Pictures

Short Fiction


Math Jokes


(Virtual) Office Hours  Spring 2020
Monday: 2:00 pm - 3:00 pm
Tuesday: 3:00 pm - 4::00 pm
Wednesday: 2:00 pm - 3:00 pm
Thursday: 3:00 pm - 4::00 pm