Dan Abramovich
Dan Abramovich (born March 12, 1963 in Haifa ) is an Israeli mathematician who studies algebraic geometry and arithmetic geometry.
Abramovich received his bachelor's degree from Tel Aviv University in 1987 and received his PhD under Joe Harris at Harvard University in 1991 ( Subvarieties of abelian varieties and of Jacobeans of curves ). From 1991 to 1994 he was a Moore Instructor at the Massachusetts Institute of Technology . He was then assistant professor, from 1999 associate professor and from 2003 professor at Brown University .
Among other things, he dealt with birational geometry , resolution of singularities , sub- varieties of Abelian varieties , bounds for the torsion of elliptic curves , rational and integer points on algebraic varieties and modular spaces of vector bundles on curves .
With Felipe Voloch he made progress in proving the Mordell-Lang conjecture in characteristic p in 1992 (the complete proof was provided by Ehud Hrushovski ).
Among other things, he was visiting scholar at the Hebrew University in Jerusalem, at the Max Planck Institute for Mathematics in Bonn, at the Mathematical Sciences Research Institute (MSRI), at the University of Pierre and Marie Curie in Paris and at IHES . He is invited speaker at the ICM 2018 (Resolution of singularities of complex algebraic varieties and their families).
From 1996 to 1998 he was a Sloan Research Fellow . He is a fellow of the American Mathematical Society .
Fonts
- with Christophe Soulé , J.-F. Burnol, Jürg Kramer Lectures on Arakelov Geometry , Cambridge University Press 1994
- with K. Karu, K. Matsuki, J. Włodarczyk Torification and factorization of birational maps , J. Amer. Math. Soc. 15, 2002, pp. 531-572
- with K. Matsuki, S. Rashid A note on the factorization theorem of toric birational maps after Morelli and its toroidal extension , Tohoku Math. J., 51, 1999, pp. 489-537
- with Frans Oort Alterations and resolution of singularities , in: Resolution of Singularities , Progress in Mathematics 181, Birkhäuser, 2000, pp. 39-108
- with K. Karu Weak semistable reduction in characteristic 0 , Inventiones Mathematicae, Volume 139, 2000, pp. 241-273
- with Voloch: Toward a proof of the Mordell-Lang conjecture in positive characteristic , Intern. Math. Research Notices, Vol. 5, 1992, pp. 103-115
Web links
Individual evidence
- ↑ Dan Abramovich in the Mathematics Genealogy Project (English)
- ↑ Arxiv
| personal data | |
|---|---|
| SURNAME | Abramovich, Dan |
| BRIEF DESCRIPTION | Israeli mathematician |
| DATE OF BIRTH | March 12, 1963 |
| PLACE OF BIRTH | Haifa |