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.
I am currently applying for tenure-track positions (Fall 2017).
Office: Maloney 553
Email: ari.shnidman (at) gmail
My research interests are in arithmetic geometry and arithmetic statistics.
Quadratic twists of abelian varieties with real multiplication, submitted.
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, submitted.
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).
I have taught the following courses at Boston College:
MATH 1100 and MATH 1105 (Calculus), 4 courses total.
MATH 3310 (Abstract Algebra), 2 semesters.
MATH 2210 (Linear Algebra), 1 semester.
MATH 882201, An introduction to p-adic Hodge theory.
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)