8 citations · 19 across the 10 of their papers we have counts for
14 papers
Motivic Euler characteristics of moduli spaces of curves
Jonas Bergström, Samir Canning, Dan Petersen +1
A combination of recent results of Canning--Larson--Payne--Willwacher and Payne--Willwacher is that the motivic Euler characteristic of the moduli space of nonsingular cu…
Deligne's weight spectral sequence and tautological cohomology of the moduli space of curves
Jonas Bergström, Thomas Wennink
We have written a computer program that implements Deligne's pullback and pushforward weight spectral sequences to compute the weight graded pieces of the rational cohomology of mo…
Refinements of Katz-Sarnak theory for the number of points on curves over finite fields
Jonas Bergström, Everett W. Howe, Elisa Lorenzo García +1
This paper goes beyond Katz-Sarnak theory on the distribution of curves over finite fields according to their number of rational points, theoretically, experimentally and conjectur…
Hyperelliptic curves, the scanning map, and moments of families of quadratic L-functions
Jonas Bergström, Adrian Diaconu, Dan Petersen +1
We compute the stable homology of the braid group with coefficients in any Schur functor applied to the integral reduced Burau representation. This may be considered as a hyperelli…
Lower bounds on the maximal number of rational points on curves over finite fields
Jonas Bergström, Everett W. Howe, Elisa Lorenzo García +1
For a given genus , we give lower bounds for the maximal number of rational points on a smooth projective absolutely irreducible curve of genus over .…
Polarizations of abelian varieties over finite fields via canonical liftings
Jonas Bergström, Valentijn Karemaker, Stefano Marseglia
We describe all polarizations for all abelian varieties over a finite field in a fixed isogeny class corresponding to a squarefree Weil polynomial, when one variety in the isogeny…