Ana-Maria Castravet


I am an Assistant Professor in the Department of Mathematics at the University of Arizona.

Here is my contact information:

University of Arizona
Department of Mathematics
617 N Santa Rita Avenue
Tucson, AZ 85719
(520)-621-6872
noni(at)math.arizona.edu

My work is in algebraic geometry. I am interested in birational geometry and moduli spaces. In particular, recently I've been working on moduli spaces of rational curves (n-pointed, stable rational curves and rational curves on rationally connected varieties), Cox rings and Mori Dream Spaces.

Here is my CV.


Research

Minimal rational curves on higher Fano manifolds, with Carolina Araujo. Submitted.

Exceptional Loci on M0,n and Hypergraph Curves, with Jenia Tevelev. Currently under revision.

The Cox Ring of M 0,6. Trans. Amer. Math. Soc. 361 (2009), 3851 - 3878. arXiv.

Examples of Fano varieties of index one that are not birationally rigid. Proc. Amer. Math. Soc. 135 (2007), 3783 - 3788. arXiv.

Hilbert's 14'th problem and Cox rings, with Jenia Tevelev. Compositio Math. 142 (2006), 1479 - 1498. arXiv.

Rational families of vector bundles on curves. International Journal of Mathematics 15, No. 1 (2004), 13 - 45. PS.

For a more detailed and complete version:

Rational families of vector bundles on curves, I.

Rational families of vector bundles on curves, II.


Teaching

Fall 2009 Introduction to Abstract Algebra

Fall 2008 Multivariable Calculus

Spring 2008 Commutative Algebra


Past and future conferences

Snowbird Conference: Birational Geometry and Moduli Spaces, Snowbird, Utah, June 2010.

Algebraic Geometry Seminar (AGNES), SUNY Stony Brook, October 2009.

Western Algebraic Geometry Seminar (WAGS), UCLA, October 2009.

Cox Rings, Tubingen, Germany, July 2009.

Spaces of curves and their interaction with diophantine problems, Columbia University, June 2009.

Western Algebraic Geometry Seminar (WAGS), University of California, Berkeley, April 2009.

MSRI Algebraic Geometry Semester, Spring 2009.


Algebraic Geometry Seminar

Algebraic Geometry Seminar Fall 2009

Algebraic Geometry Seminar Fall 2008


Other Seminars in the Department

Mathematics Colloquium

Algebra and Number Theory Seminar