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This working group is organized by Fedor Bogomolov,
Yuri Tschinkel
and Akshay Venkatesh.
The group runs a
Number theory seminar
(jointly with Columbia and CUNY)
and an informal research seminar.
The members of the group study problems in
classification theory of algebraic
varieties, geometry related to groups and representation theory,
geometry over nonclosed fields,
rational points, automorphic forms and analytic number theory.
| Fedor Bogomolov |
Professor |
| Yuri Tschinkel |
Professor |
| Akshay Venkatesh |
Associate Professor |
| Sonal Jain |
Courant Instructor |
| Joseph Bernstein |
Visiting Professor |
| Paolo Cascini |
Postdoctoral Fellow
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| Gabriele LaNave |
Visiting Fellow |
FRG: Geometry of moduli spaces of rational curves with applications
to Diophantine problems over function fields (B. Hassett,
J. de Jong, J. Starr, Y. Tschinkel)
FRG: Arithmetic and equidistribution on homogeneous spaces
(E. Lindenstraus, A. Venkatesh)
Conferences and workshops
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FRG Workshop Algebraic and Symplectic Geometry of Uniruled and Rationally Connected Manifolds,
March 2008, Stony Brook
- FRG Workshop Geometry of moduli spaces of rational curves, November 2007, CMI Cambridge
- Summer School Geometry over finite fields, Göttingen, July 2007
- L-functions and Automorphic forms, Columbia University, May 2007
- Rational curves on algebraic varieties, Palo Alto, May 2007
- FRG workshop Rational curves, NY, March 2007
- Summer School Arithmetic Geometry, Göttingen, July 2006
- Rational
and integral points on varieties, MSRI, Spring 2006
- Number Theory conference, Courant Institute, May 2006
- Algebraic and Symplectic Geometry, Miami, December 2005
Recent selected publications
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F. Bogomolov, Y. Tschinkel,
Rational curves and points on K3 surfaces,
Amer. Journ. of Mathematics, 127, no. 4, 825-835, (2005)
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F. Bogomolov, Y. Tschinkel,
Curves in abelian varieties over finite fields,
Intern. Math. Research Notices, 4, 233-238, (2005)
- J. Ellenberg, A. Venkatesh,
The number of extensions of numbers fields with fixed degree and bounded
discriminant,
Annals of Math. 163 no. 2, 723--741, (2006)
- B. Hassett, Y. Tschinkel,
Weak approximation over function fields,
Inventiones Math., 163, no. 1, 171-190, (2006)
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