David Gregory Ebin (born 24 October 1942, Los Angeles)[1] is an American mathematician, specializing in differential geometry.
Ebin received in 1964 from Harvard University his bachelor's degree and in 1967 his Ph.D. from Massachusetts Institute of Technology under Isadore Singer with thesis On the space of Riemannian metrics.
Ebin in the academic years 1983–1984 and 1991–1992 was a visiting professor at UCLA, in 1971 a docent at the École Polytechnique and the University of Paris VII, and in 1976 a member of the Courant Institute in New York.
His research deals with differential geometry, infinite-dimensional manifolds (in hydrodynamics and in his treatment of the space of Riemannian metrics), nonlinear partial differential equations, mathematical hydrodynamics (including slightly compressible fluids), and elastodynamics.
In 1970 he was, with Jerrold Marsden, an Invited Speaker with talk On the motion of incompressible fluids at the ICM in Nice.