Denis Bell
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
- A
quasi-invariance theorem for measures on Banach spaces.
Trans.
Amer. Math. Soc.
290 (1985) 851-855.
- 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).
- The
Malliavin calculus and stochastic delay equations (with S. Mohammed).
J. Funct. Anal. 99
(1991) 75-99.
- An extension of Hormander's
theorem for
infinitely
degenerate second-order operators (with S. Mohammed).
Duke
Math. J.
78 (1995) 453 - 475.
- The Gauss-Bonnet theorem
for vector bundles. J.
Geom. 85
no. 1-2
(2006) 15-21.
- 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