# 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**: ari.shnidman (at) gmail.com

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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

Experiments with Ceresa classes of cyclic Fermat quotients, with D. Lilienfeldt, preprint.

Rank growth of elliptic curves over N-th root extensions, with A. Weiss, preprint.

Sandpile groups of supersingular isogeny graphs, with N. Munier, *submitted*.

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, * submitted *.

A positive proportion of quartic fields are not monogenic yet have no local obstruction to being so , with L. Alpöge and M. Bhargava, *submitted*.

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, *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 *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, *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), *preprint*.

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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

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Seminars:

Fundamental Lemmas and Fourier Transform

Number Theory and Algebraic Geometry Lunch Seminar