Mark Andrea de Cataldo
Mark Andrea Antonio de Cataldo (* around 1967 ) is an Italian mathematician who deals with algebraic geometry.
De Cataldo obtained his undergraduate degree in mathematics from the University of Milan in 1989 and his master's degree from the University of Notre Dame in 1992 , where he received his doctorate in 1995 with Andrew Sommese ( Codimension of two subvarieties of quadrics ). As a post-doctoral student he was a visiting assistant professor at Washington University in St. Louis, in 1997 at the Max Planck Institute for Mathematics in Bonn and in 1998 an American Mathematical Society Centennial Fellow at Harvard University . In 1999 he became Assistant Professor, 2004 Associate Professor and 2009 Professor at the State University of New York at Stony Brook .
He deals with Hodge's theory of algebraic varieties and in 2003, together with Luca Migliorini, gave a new geometric proof of the decomposition theorem by Joseph Bernstein , Pierre Deligne , Alexander Beilinson and Ofer Gabber (1982), a profound result of the topology of algebraic varieties.
Initially, he dealt with classic projective geometry and low-dimensional embedding projective varieties in homogeneous spaces.
In 2001 and 2006 he was at the Institute for Advanced Study . In 2011 he was Frederick Gehring Visiting Professor at the University of Michigan .
Fonts
- The Hodge theory of projective manifolds. Imperial College Press, London 2007, ISBN 978-1-86094-800-8 .
- with Luca Migliorini : The Decomposition theorem, perverse sheaves and the topology of algebraic maps. In: Bulletin of the American Mathematical Society . Volume 46, No. 4, 2009, pp. 535-633, ( online ).
- with Luca Migliorini: What is a perverse sheaf? In: Bulletin of the American Mathematical Society . Volume 57, No. 5, 2010, pp. 632-634, ( online ).
Web links
Individual evidence
- ^ Mathematics Genealogy Project
- ^ Mark Andrea A. de Cataldo, Luca Migliorini: The Hodge Theory of Algebraic Maps. In: Annales scientifiques de l'École normal supérieure . Series 4, Volume 38, No. 5, 2005, pp. 693-750, doi : 10.1016 / j.ansens.2005.07.001 .
| personal data | |
|---|---|
| SURNAME | Cataldo, Mark Andrea de |
| ALTERNATIVE NAMES | Cataldo, Mark Andrea Antonio de |
| BRIEF DESCRIPTION | Italian mathematician |
| DATE OF BIRTH | around 1967 |