A. Shnidman

activity

20122026

most citedThe average size of the 3-isogeny Selmer groups of elliptic curves

y^{2} = x^{3} + k

23 citations · 108 across the 30 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.NT2020★ 2 cited

A positive proportion of cubic fields are not monogenic yet have no local obstruction to being so

Levent Alpöge, Manjul Bhargava, Ari Shnidman

We show that a positive proportion of cubic fields are not monogenic, despite having no local obstruction to being monogenic. Our proof involves the comparison of $2$ -descent and $…

math.NT2020

Manin-Drinfeld cycles and derivatives of $L$ -functions

Ari Shnidman

We study algebraic cycles in the moduli space of $PGL_{2}$ -shtukas, arising from the diagonal torus. Our main result shows that their intersection pairing with the Heegner-D…

A positive proportion of cubic fields are not monogenic yet have no local obstruction to being so

Manin-Drinfeld cycles and derivatives of L-functions

Manin-Drinfeld cycles and derivatives of $L$ -functions