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: ari.shnidman (at) gmail.com

Research

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

Papers

  • Elements of prime order in Tate-Shafarevich groups of abelian varieties over ℚ , with A. Weiss, submitted.
  • Ranks of abelian varieties in cyclotomic twist families, with A. Weiss, preprint.
  • A positive proportion of quartic fields are not monogenic yet have no local obstruction to being so , with L. Alpöge and M. Bhargava, preprint.
  • Manin-Drinfeld cycles and derivatives of L-functions, submitted.
  • Genus two curves with full √ 3 level structure, with N. Bruin and E.V. Flynn, submitted. (sage code)
  • A positive proportion of cubic fields are not monogenic yet have no local obstruction to being so, with L. Alpöge and M. Bhargava, submitted.
  • Elements of given order in Tate-Shafarevich groups of abelian varieties in quadratic twist families, with M. Bhargava, Z. Klagsbrun, and R. Lemke Oliver, Algebra & Number Theory.
  • Quadratic twists of abelian varieties with real multiplication, 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, 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, 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.

    HUJI-BGU Workshop in Arithmetic

    Past:
  • HUJI-BGU 1 -- Tate modules of elliptic curves and abelian varieties
  • HUJI-BGU 2 -- L-functions for GL(1) and regulators
  • HUJI-BGU 3 -- Arithmetic geometery of locally symmetric spaces

    Seminars:

  • Fundamental Lemmas and Fourier Transform
  • Number Theory and Algebraic Geometry Lunch Seminar