Aaron Landesman

activity

20142025

most citedSurjectivity of Galois Representations in Rational Families of Abelian Varieties

16 citations · 61 across the 27 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AG2019★ 2 cited

The infinitesimal Torelli problem

Aaron Landesman

Let $g \geq 2$ and let the Torelli map denote the map sending a genus $g$ curve to its principally polarized Jacobian. We verify the well known fact that the map induced on tangent…

math.AG2019

The Torelli map restricted to the hyperelliptic locus

Aaron Landesman

Let $g \geq 2$ and let the Torelli map denote the map sending a genus $g$ curve to its principally polarized Jacobian. We show that the restriction of the Torelli map to the hypere…

math.NT2019★ 6 cited

Improved lower bounds for the number of fields with alternating Galois group

Aaron Landesman, Robert J. Lemke Oliver, Frank Thorne

Let $n \geq 6$ be an integer. We prove that the number of number fields with Galois group $A_{n}$ and absolute discriminant at most $X$ is asymptotically at least $X^{1/8 + O (1/ n)}$ .…