ari shnidman

Ari Shnidman

I am a postdoc in the Boston College math department.
I received my Ph.D. from the University of Michigan in May 2015.   My advisor there was Kartik Prasanna.

Office: Maloney 553
Email: shnidman (at) bc (dot) edu

Research

My research interests are in arithmetic geometry and arithmetic statistics.

Papers

  • Quadratic twists of abelian varieties with real multiplication, preprint.
  • Tate-Shafarevich groups of elliptic curves in quadratic twist families, with M. Bhargava, Z. Klagsbrun, and R. Lemke Oliver, preprint.
  • A Gross-Kohnen-Zagier formula for Heegner-Drinfeld cycles, with B. Howard, submitted.
  • The average size of the 3-isogeny Selmer groups of elliptic curves y2 = x3 + k, with M. Bhargava and N. Elkies, submitted.
  • Grothendieck groups of categories of abelian varieties, to appear in European Journal of Mathematics.
  • Three-isogeny selmer groups and ranks of abelian varieties in quadratic twist families over a number field,
    with M. Bhargava, Z. Klagsbrun, and R. Lemke Oliver, preprint.
  • Extensions of CM elliptic curves and orbit counting on the projective line, with J. Rosen, to appear in Research in Number Theory.
  • p-adic heights of generalized Heegner cycles, Annales de l'Institute Fourier 66 no. 3 (2016), p. 1117-1174.
  • Néron-Severi groups of product abelian surfaces, with J. Rosen, submitted (2016).
  • Heights of generalized Heegner cycles, Ph.D. thesis, University of Michigan, (2015).
  • On the number of cubic orders of bounded discriminant having automorphism group C3, and related problems, with M. Bhargava,
    Algebra and Number Theory, Vol. 8 (2014), No. 1, 53-88.
  • Grand orbits of integer polynomials, with M. Zieve (appendix with B. Seward), preprint (2010).

    Teaching

    This semester I am teaching Calc II (MATH1105). Last semester I taught Calc I (MATH1100) as well as an introduction to p-adic Hodge theory (MATH882201).

    I taught the following classes while at Michigan:
  • Math 115 (Calc I), 3 semesters
  • Math 116 (Calc II), 2 semesters
  • Math 215 (Calc III), 1 semester (as Lab Instructor)