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| Dan Abramovich | |
|---|---|
| Name | Dan Abramovich |
| Birth date | 1963 |
| Birth place | Kyiv |
| Citizenship | Israel |
| Fields | Algebraic geometry, Number theory, Arithmetic geometry |
| Institutions | Tel Aviv University, Brown University, Rutgers University, Hebrew University of Jerusalem, Institute for Advanced Study |
| Alma mater | Hebrew University of Jerusalem, Tel Aviv University, Harvard University |
| Doctoral advisor | Yuri Tschinkel |
| Known for | Birational geometry, Moduli space, p-adic Hodge theory |
Dan Abramovich is a mathematician known for contributions to Algebraic geometry, Arithmetic geometry, and applications of Number theory to moduli problems. He has held faculty positions at major institutions and collaborated with many researchers across Europe, North America, and Israel. His work on birational geometry, stacks, and the minimal model program has influenced developments at research centers and conferences worldwide.
Born in Kyiv and raised partly in Israel, Abramovich undertook undergraduate studies at Tel Aviv University before pursuing graduate work at Harvard University and the Hebrew University of Jerusalem. During his doctoral training he interacted with scholars from Princeton University, Yale University, and the University of Chicago. Early influences included seminars at the Institute for Advanced Study and lectures by faculty from Stanford University, California Institute of Technology, and Massachusetts Institute of Technology.
Abramovich has held positions at Brown University, Rutgers University, and Tel Aviv University, and has been a visitor at the Institute for Advanced Study, Mathematical Sciences Research Institute, and Max Planck Institute for Mathematics. He has participated in programs at Clay Mathematics Institute, served on committees for the European Mathematical Society, and given invited talks at the International Congress of Mathematicians and workshops at Banff Centre for Arts and Creativity and Centre International de Rencontres Mathématiques. His collaborations span researchers affiliated with Princeton University, Columbia University, University of California, Berkeley, University of Cambridge, University of Oxford, ETH Zurich, University of Bonn, and Université Paris-Sud.
Abramovich's research addresses problems in Birational geometry, the Minimal model program, and the theory of stacks, linking these to questions in Arithmetic geometry and p-adic Hodge theory. He has worked on compactifications of moduli spaces, degeneration techniques used in Mirror symmetry, and the development of logarithmic geometry methods inspired by work at Institut des Hautes Études Scientifiques and SFB/Transregio collaborations. Key collaborations include joint work with mathematicians from Princeton University, Columbia University, University of Michigan, University of Utah, University of Toronto, University of British Columbia, Université de Montréal, and ETH Zurich. His contributions influenced research programs at the Banff International Research Station, informed seminars at New York University, and interfaced with advances from Grothendieck-inspired schools at IHES and Université Paris 7.
Abramovich's honors include invited lectures at the International Congress of Mathematicians and recognition by institutions such as the American Mathematical Society and national academies in Israel and abroad. He has been a fellow or awardee of programs at the Institute for Advanced Study, Clay Mathematics Institute, Mathematical Sciences Research Institute, and received support from funding agencies including National Science Foundation and national science foundations corresponding to appointments at Tel Aviv University and Brown University.
- Work on compactifying moduli spaces and stacks published in proceedings and journals associated with American Mathematical Society and Springer Verlag; collaborations with authors from Princeton University, Columbia University, and ETH Zurich. - Papers linking Birational geometry with Arithmetic geometry and p-adic Hodge theory appearing in venues connected to Cambridge University Press and conferences at Institute for Advanced Study. - Expository contributions and lecture notes delivered at programs organized by Clay Mathematics Institute, MSRI, and Banff Centre for Arts and Creativity.
Abramovich has supervised doctoral students who pursued careers at institutions such as Princeton University, Columbia University, Stanford University, University of Chicago, University of Michigan, University of Toronto, ETH Zurich, University of Bonn, Hebrew University of Jerusalem, and Tel Aviv University. He has taught graduate courses and given lecture series at Harvard University, Yale University, Brown University, Rutgers University, and international schools including CIRM and ICTP.