# Ari Shnidman

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

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Address:

Einstein Institute of Mathematics

Hebrew University of Jerusalem

**Office**: Manchester 104

**Email**: ariel.shnidman (at) mail.huji.ac.il

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Research

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

Genus two curves with full √ 3 level structure, with N. Bruin and V. Flynn, *in preparation*.

Monogenic cubic fields, with L. Alpoge and M. Bhargava, *in preparation*.

...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, *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 y^{2} = x^{3} + 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, 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*.