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Fleming received his PhD under Laurence Chisholm Young at the University of Wisconsin-Madison with a thesis entitled Boundary and related notions for generalized parametric surfaces. Fleming was a professor at Brown University, where he retired in 2009 as professor emeritus.
Fleming was with Herbert Federer a pioneer of geometric measure theory. Later in his career, he worked on stochastic processes, stochastic differential equations and their applications in control theory. In 1976-1977 he was a Guggenheim Fellow. In 1982 he gave a plenary address (Optimal control of Markov Processes) at the ICM in Warsaw.
Awards and honors
In 1987 he received with Federer the Leroy P. Steele Prize of the American Mathematical Society. In 1994 he won the Reid Prize from the Society for Industrial and Applied Mathematics. He was given an honorary doctorate at Purdue University in 1991. In 2012 he became a fellow of the American Mathematical Society.
- Federer, Herbert; Fleming, Wendell H. (1960), "Normal and integral currents", Annals of Mathematics, II 72 (4): 458–520, doi:10.2307/1970227, JSTOR 1970227, MR 0123260, Zbl 0187.31301. The first paper of Federer and Fleming illustrating their approach to the theory of perimeters based on the theory of currents.
- with Raymond W. Rishel: Deterministic and stochastic optimal control, Springer, Berlin Heidelberg New York 1975, ISBN 3-540-90155-8
- Functions of several variables, Addison Wesley, 1965, Springer, 1977
- with Halil Mete Soner: Controlled Markov Processes and Viscosity Solutions, Springer, 1992, 2nd edition 2006
- Wendell Fleming at the Mathematics Genealogy Project
- List of Fellows of the American Mathematical Society, retrieved 2012-12-29.
- Literature by and about Wendell Fleming in the German National Library catalogue
- Wendell H. Fleming – Homepage at Brown University