Office : 619 Warren Weaver Hall, Courant Institute of Mathematical
Sciences.
Phone: 212-998-3210. Email: last name at cims dot nyu dot edu.
Research Interests: Number theory, arithmetic geometry.
Research Papers:
Minimal heights and regulators for elliptic surfaces. (2007) (Phd
thesis, Harvard University, advised by N.D. Elkies)
Minimal regulators for rank 2 subgroups of rational and K3 elliptic
surfaces. Experimental Mathematics, Volume 18, Issue 4,
429-447 (2009)
Points of low height on elliptic surfaces with torsion. London
Mathematical Society Journal of Computation , Volume 13,
370-387 (2010)
(with J.S. Ellenberg, A. Venkatesh) Modelling lambda invariants by
p-adic random matrices. Communications on Pure and Applied
Mathematics
preprint (2011)
A new record for the canonical height on an elliptic curve over C(t).
New York Journal of Mathematics , Volume 16, 525-537 (2010)
Upcoming Talks:
Center for Communications Research, La Jolla, Dec 15, '10.
University of Michigan, Group Theory/Lie Theory/Number Theory Seminar, Feb 7, '11.
Joint IAS/Princeton Number Theory Seminar, Feb 17, '11.
UC Berkeley, Number Theory Seminar, Feb 23, '11
New York Joint Columbia/CUNY/NYU Number Theory Seminar, April 7, '11.
Recent Talks:
CCNY Colloquium, Mar '10. Height functions in Diophantine geometry
USC Algebra Seminar, Feb '10. Minimum height pairings on elliptic surfaces
UGA Arithmetic Geometry Seminar, Dec '09 On the minimum
canonical height on an elliptic curve over C(t).
CUNY Collaborative Seminar, Dec '09 On the minimum
canonical height on an elliptic curve over C(t)
Boston College Colloquium, Nov '09 The minimum canonical
height on an elliptic surface
Boston University Number Theory Seminar, Nov '09 On the
p-adic lambda invariants of quadratic Dirichlet characters
University of Waterloo Number Theory Seminar, Oct '09 On
the minimum canonical height on an elliptic curve over C(t)
NYU K3 Surfaces Seminar, Oct '09 On the Torelli theorem for
K3 surfaces
Courant Instructor Day, Sep '09
Statistics of p-adic L-functions