David Gregory Ebin (born 24 October 1942, Los Angeles) is an American mathematician, specializing in differential geometry. Ebin received in 1964 from

Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher le ...

his bachelor's degree and in 1967 his Ph.D. from

Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the ...

under

Isadore Singer Isadore Manuel Singer (May 3, 1924 – February 11, 2021) was an American mathematician. He was an Emeritus Institute Professor in the Department of Mathematics at the Massachusetts Institute of Technology and a Professor Emeritus of Mathemat ...

with thesis ''On the space of Riemannian metrics''. From 1968 to 1969 Ebin was a lecturer at the

University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant u ...

. He became in 1969 an associate professor and in 1978 a full professor at the

Stony Brook University Stony Brook University (SBU), officially the State University of New York at Stony Brook, is a public research university in Stony Brook, New York. Along with the University at Buffalo, it is one of the State University of New York system's ...

. Ebin in the academic years 1983–1984 and 1991–1992 was a visiting professor at UCLA, in 1971 a docent at the

École Polytechnique École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoi ...

and the University of Paris VII, and in 1976 a member of the Courant Institute in New York. He was elected a Fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

in 2012. 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. He investigated in his dissertation the space of Riemannian metrics on a compact manifold and gave this infinite-dimensional space a Riemannian structure. In 1970 he was, with

Jerrold Marsden Jerrold Eldon Marsden (August 17, 1942 – September 21, 2010) was a Canadian mathematician. He was the Carl F. Braun Professor of Engineering and Control & Dynamical Systems at the California Institute of Technology.. Marsden is listed as an IS ...

, an Invited Speaker with talk ''On the motion of incompressible fluids'' at the ICM in Nice. Ebin is since 1971 married to Barbara Jean Ebin and has four children.

Selected publications

*with

Jeff Cheeger Jeff Cheeger (born December 1, 1943, Brooklyn, New York City) is a mathematician. Cheeger is professor at the Courant Institute of Mathematical Sciences at New York University in New York City. His main interests are differential geometry and ...

: Comparison theorems in Riemannian Geometry, North Holland 1975
On the space of Riemannian metrics
Bulletin of the AMS, vol. 74, 1968, pp. 1001–1003 *The space of Riemannian Metrics, in S. S. Chern, Stephen Smale (eds.), Global Geometry, AMS 1970 *with Jerrold Marsden: Groups of diffeomorphisms and the solution of the classical Euler equations for a perfect fluid, Bulletin of the American Mathematical Society, vol. 75, 1969, pp. 962–967 *with Jerrold Marsden, Arthur E. Fischer: Diffeomorphism groups, hydrodynamics and relativity. In: Proceedings of the 13th Biennial Seminar of Canadian Mathematical Congress, Canadian Mathematical Congress 1972, pp. 135–279 *with Jerrold Marsden: Groups of diffeomorphisms and the motion of an incompressible fluid, Annals of Mathematics, vol. 92, 1970, pp. 102–163

References

{{DEFAULTSORT:Ebin, David Gregory 20th-century American mathematicians 21st-century American mathematicians Harvard University alumni Massachusetts Institute of Technology alumni Stony Brook University faculty Fellows of the American Mathematical Society 1942 births Living people