Lucia Caporaso
Lucia Caporaso (born May 25, 1965 in Rome ) is an Italian mathematician who deals with algebraic geometry .
Caporaso studied mathematics at the University of Rome (La Sapienza) with a Laureate degree in 1989 and received his PhD from Harvard University in 1993 with Joseph Daniel Harris (Joe Harris) ( On a Compactification of the Universal Picard Variety over the Moduli Space of Stable Curves ) . From 1993 to 1997 she was Benjamin Peirce Assistant Professor at Harvard. From 1994 she was at the University of Rome (Tor Vergata), was Assistant Professor at the Massachusetts Institute of Technology from 1997 to 2001 and Assistant Professor at the University of Sannio from 1999 to 2001. She has been a professor at the Roma Tre University since 2001 , where she has headed the Faculty of Mathematics and Physics there since 2013.
Among other things, she deals with methods of tropical geometry in module spaces of algebraic curves and counting algebraic geometry (including rational points on algebraic curves).
In 1996 she was invited speaker at the European Congress of Mathematicians in Budapest (Counting curves on surfaces: a guide to new techniques and results). For 2018 she is invited speaker at the international mathematicians congress in Rio de Janeiro (Recursive combinatorial aspects of compactified moduli spaces). In 1997 she received the Bartolozzi Prize . In 2015 she was plenary speaker at the Congress of the Unione Matematica Italiana in Siena .
In 1992/93 she received a Doctoral Fellowship from the Alfred P. Sloan Foundation , and from 1995 to 1997 she was a Sloan Research Fellow . She was visiting scholar at the Mathematical Sciences Research Institute (MSRI) and at the Universities of Nice and Strasbourg.
Fonts (selection)
- with Joe Harris: Counting plane curves of any genus, Inventiones mathematicae, Volume 131, 1998, pp. 345-392
- with Filippo Viviani: Torelli theorem for graphs and tropical curves, Duke Math. J., Volume 153, 2010, pp. 129-171
- with Omid Amini: Riemann-Roch theory for weighted graphs and tropical curves, Advances in Mathematics, Volume 240, 2013, pp. 1-23
- Geometry of the theta divisor of a compactified jacobian, Journal of the European Mathematical Society, Volume 11, 2009, pp. 1385-1427
- Algebraic and tropical curves: comparing their moduli spaces, in: G. Farkas, I. Morrison (Ed.), Handbook of Moduli, Volume 1, Advanced Lectures in Mathematics, Volume XXIV, 2013, pp. 119-160
- Algebraic and combinatorial Brill-Noether theory: in: V. Alexeev, E. Izadi, A. Gibney, J. Kollàr, E. Loojenga (Eds.), Compact Moduli Spaces and Vector Bundles, Contemp. Math., Volume 564, 2012, pp. 69-85.
- with Joe Harris, Barry Mazur : How many rational points can a curve have?, in: The Moduli space of curves, Progress in mathematics 129, Birkhäuser, 1995, pp. 13-32.
- Compactified Jacobians, Abel maps and Theta divisors, Contemporary Mathematics, Volume 465, 2008 (Valery Alexeev, Arnaud Beauville, Herbert Clemens (Eds.), Curves and Abelian varieties: international conference, in honor of Roy Smith's 65th birthday. March 30-April 2, 2007), 2008
- Moduli theory and arithmetic of algebraic varieties, in: Alberto Collino, Alberto Conte, Marina Marchisio (eds.), Proceedings of the Fano conference, 2004, pp. 353-379
- with Dan Abramovich , Sam Payne: The tropicalization of the moduli space of curves, Annales Scientifiques del'ENS, Volume 48, 2015, pp. 765–780
Web links
Individual evidence
- ↑ Lucia Caporaso in the Mathematics Genealogy Project (English)
- ↑ Arxiv
| personal data | |
|---|---|
| SURNAME | Caporaso, Lucia |
| BRIEF DESCRIPTION | Italian mathematician |
| DATE OF BIRTH | May 25, 1965 |
| PLACE OF BIRTH | Rome |