Biography:
Scott Dumas was born and raised in Albuquerque, New Mexico, received his BA in physics and French from Rice University, MA in mathematics from the University of Colorado, and PhD in mathematics from the University of New Mexico in 1988. Also between 1976 and 1988, he worked as a carpenter in New Mexico, Texas, Colorado, and France, as an engineer at Jet Propulsion Laboratories in Pasadena, California, and as a research physicist at the Naval Research Laboratory in Washington, DC. During 1986-87, he was a Fulbright Scholar at the Center for Applied Mathematics of the Ecole Normale Superieure in Paris, France.
Dumas has been a member of the Math Department at UC since 1990. He has held fellowships/visiting positions at SUNY-Albany, the Institute for Mathematics and its Applications at the University of Minnesota, the University of Picardy (Amiens), the University of Paris 7, the Ecole Normale Superieure de Cachan, the University of
Cergy-Pontoise, the Astronomy and Dynamical Systems Group at the Bureau des
Longitudes in Paris, France, and the Federal University of Pernambuco in Recife, Brazil.
He was twice a principal investigator for the National Science Foundation, and is author,
editor, and translator of a number of articles and books in mathematics and physics.
Research Areas:
Applied mathematics and dynamical systems, with emphasis on theory and applications of averaging methods for ordinary differential equations, ergodic theory, Hamiltonian perturbation theory, and kinetic theory. Applied work extends into the following areas of physics: condensed matter-particle interactions, beam stability in particle accelerators, celestial mechanics, and ideal gas kinematics. For more details, go to http://math.uc.edu/~dumas/research.html