William Petschek Professor of Mathematics
Nonlinear partial differential equations and applications to topology, geometry, and mathematical physics
His research interests have been in the boundary lands between differential equations, and low dimensional topology and geometry.
Taubes proved the existence of uncountably many exotic differentiable structures on R 4 ; he reinterpreted Casson’s invariant in terms of gauge theory and proved a homotopy approximation theorem for Yang-Mills moduli spaces. Taubes also proved a powerful existence theorem for anti-self-dual conformal structures on four-manifolds.
2008 NAS Award in Mathematics from the National Academy of Sciences “for ground-breaking work relating to Seiberg-Witten and Gromov-Witten invariants of symplec-tic 4-manifolds, and his proof of the Weinstein conjecture for all contact 3-manifolds.”
2008 Clay Research Award \"for his proof of the Weinstein conjecture in dimension three\".
1991 Veblen Prize of the American Mathematical Society
Elie Cartan Prize of the French Mathematical Society.
He is also a member of both the American and National Academy of Sciences.
Ping Liang, Clifford H. Taubes: Orientation-Based Differential Geometric Representations for Computer Vision Applications. IEEE Trans. Pattern Anal. Mach. Intell. 16(3): 249-258 (1994)