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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.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.…
math.NT2024
An alternate computation of the stable homology of dihedral group Hurwitz spaces
Aaron Landesman, Ishan Levy
We give an different proof of our result computing the stable homology of dihedral group Hurwitz spaces. This proof employs more elementary methods, instead of higher algebra.