Marina Ratner

Marina Ratner (Russian Марина Ратнер; born October 30, 1938 in Moscow ) is a Russian-born American mathematician.

Life

Ratner is the daughter of two scientists and studied from 1956 at the Moscow State University Mathematics, shortly after that was possible for students of Jewish origin. In 1961 she received her degree and then worked in the research group for Applied Statistics of Andrei Kolmogorov and in its teaching program for gifted high school students in Moscow. In 1965 she began her work on the promotion that she received at Yakov Sinai 1969 ( Geodesic flows on unit tangent bundles of compact surfaces of negative curvature ) at the Lomonosov University. After receiving her doctorate, she was an assistant at the Technical University of Moscow, but was discharged after applying for a visa for Israel. 1971 to 1975 she was a lecturer at the Hebrew University in Jerusalem and a teacher in their high school preparation courses. From 1975 she was at the University of Berkeley, from 1982 as a professor.

Ratner is known for her work in ergodic theory. There she is known for Ratner theorems on unipotent flows in homogeneous spaces that they showed around 1990. They played an important role in the proof of the Oppenheim conjecture by Grigory Margulis.

In 1993 she was awarded the Ostrowski Prize. From 1992, she was in the National Academy of Sciences, the John J. Carty Award she received in the American Academy of Arts and Sciences and from 1993 1994, specifically for their proof of Raghunathan conjectures in number theory. In 1994 she gave a plenary lecture at the ICM in Zurich ( Interactions beween ergodic theory, Lie groups, and number theory ).

Ratner has a daughter.

Writings

• Strict measure rigidity for unipotent subgroups of solvable groups (PDF file, 1.4 MB), Inventiones Mathematicae 101, December 1990, pp. 449-482 (English)
• On measure rigidity of unipotent subgroups of semisimple groups (PDF file, 2.8 MB), Acta Mathematica 165, December 1990, pp. 229-309 (English)
• Interactions in between ergodic theory, Lie groups, and number theory (PDF file, 2.8 MB ) Proceedings of the International Congress of Mathematicians, Zurich 1994, pp. 157-182 (English)