3 papers
math.NT2025
The stable homology of Hurwitz modules and applications
Aaron Landesman, Ishan Levy
We show that the homology of modules for Hurwitz spaces stabilizes and compute its stable value. As one consequence, we compute the moments of Selmer groups in quadratic twist fami…
math.AT2025
Homological stability for Hurwitz spaces and applications
Aaron Landesman, Ishan Levy
We show the homology of the Hurwitz space associated to an arbitrary finite rack stabilizes integrally in a suitable sense. We also compute the dominant part of its stable homology…
math.NT2025
The Cohen--Lenstra moments over function fields via the stable homology of non-splitting Hurwitz spaces
Aaron Landesman, Ishan Levy
We compute the average number of surjections from class groups of quadratic function fields over onto finite odd order groups , once is sufficiently large.…