Vladimir Berkovich

Vladimir G. Berkovich, Russian Владимир Беркович, Vladimir Berkovich, is a Russian- Israeli mathematician who deals with arithmetic algebraic geometry and non- Archimedean (p- adic ) analytic geometry.

Berkovich received his doctorate at Yuri Manin. He teaches at the Weizmann Institute of Science in Rehovot.

In 1990, he led a Berkovich spaces, the analogues of analytic spaces in the p- adic numbers.

In 2012 he became a Fellow of the American Mathematical Society. 1991/92 and 2000 he was at the Institute for Advanced Study.

He received the Humboldt Research Award.

In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin (p- adic analytic spaces ).

Writings

• Spectral theory and analytic geometry over non- Archimedean fields, American Mathematical Society, Mathematical Surveys and Monographs 33, 1990
• Étale cohomology for non- Archimedean analytic spaces, Publications Mathématiques de l' IHES, 78, 1993, pp. 5-161
• Integration of one -forms on p- adic analytic spaces, Annals of Mathematical Studies, Princeton University Press 2007
• Vanishing cycles for non- Archimedean analytic spaces, J. American Mathematical Society, 9, 1996, 1187-1209
• Smooth p- adic analytic spaces are locally contractible, Inventiones Mathematicae, Volume 137, 1999, 1-84