ari shnidman

Ari Shnidman

I am a senior lecturer (tenure-track) in the math department at the Hebrew University of Jerusalem.
For Fall and Winter 2022-2023, I'll be on sabbatical, visiting Dartmouth College.


Einstein Institute of Mathematics
Hebrew University of Jerusalem

Office: Manchester 104
Email: ari.shnidman (at)


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


  • Arbitrarily large p-torsion in Tate-Shafarevich groups, with E.V. Flynn, submitted.
  • Integers expressible as the sum of two rational cubes, with L. Alpöge and M. Bhargava, submitted. (Related slides and a popular article.)
  • Experiments with Ceresa classes of cyclic Fermat quotients, with D. Lilienfeldt, Proceedings of the AMS.
  • Rank growth of elliptic curves over N-th root extensions, with A. Weiss, to appear in Transactions of the AMS.
  • Sandpile groups of supersingular isogeny graphs, with N. Munier, to appear in Journal de Theorie des Nombres de Bordeaux.
  • Elements of prime order in Tate-Shafarevich groups of abelian varieties over ℚ , with A. Weiss, Forum of Mathematics, Sigma.
  • Ranks of abelian varieties in cyclotomic twist families, with A. Weiss, submitted .
  • A positive proportion of quartic fields are not monogenic yet have no local obstruction to being so , with L. Alpöge and M. Bhargava, to appear in Mathematische Annalen.
  • Manin-Drinfeld cycles and derivatives of L-functions, to appear in JEMS.
  • Genus two curves with full √ 3 level structure, with N. Bruin and E.V. Flynn, to appear in Selecta Mathematica. (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, Journal of the LMS.
  • 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.
  • On the number of cubic orders of bounded discriminant having automorphism group C3, and related problems, with M. Bhargava, Algebra & Number Theory.
  • Grand orbits of integer polynomials, with M. Zieve (appendix with B. Seward).

    HUJI-BGU Workshop in Arithmetic

  • HBWA 5, June 27, in Jerusalem.
  • 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
  • HUJI-BGU 4 -- Research talks


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