ari shnidman

Ari Shnidman

I am a senior lecturer (tenure-track) in the math department at the Hebrew University of Jerusalem.

Address:

Einstein Institute of Mathematics
Hebrew University of Jerusalem

Office: Manchester 104
Email: ariel.shnidman (at) mail.huji.ac.il

Research

My research interests are in number theory, especially arithmetic geometry, automorphic forms, and arithmetic statistics.

Papers

  • ...Tate-Shafarevich groups of abelian varieties in quadratic twist families, with M. Bhargava, Z. Klagsbrun, and R. Lemke Oliver, submitted.
  • Quadratic twists of abelian varieties with real multiplication, to appear in IMRN.
  • A Gross-Kohnen-Zagier formula for Heegner-Drinfeld cycles, with B. Howard, Advances in Mathematics.
  • The average size of the 3-isogeny Selmer groups of elliptic curves y2 = x3 + k, with M. Bhargava and N. Elkies, to appear in JLMS.
  • Grothendieck groups of categories of abelian varieties, European Journal of Mathematics.
  • Three-isogeny selmer groups and ranks of abelian varieties..., with M. Bhargava, Z. Klagsbrun, and R. Lemke Oliver, to appear in Duke Math Journal.
  • Extensions of CM elliptic curves and orbit counting on the projective line, with J. Rosen, Research in Number Theory.
  • p-adic heights of generalized Heegner cycles, Annales de l'Institute Fourier.
  • Néron-Severi groups of product abelian surfaces, with J. Rosen.
  • Heights of generalized Heegner cycles, Ph.D. thesis, University of Michigan.
  • ...Cubic orders of bounded discriminant having automorphism group C3..., with M. Bhargava, Algebra & Number Theory.
  • Grand orbits of integer polynomials, with M. Zieve (appendix with B. Seward), preprint.