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math.NT2024
The asymptotic in Waring's problem over function fields via a singular locus in the circle method
Will Sawin
We give results on the asymptotic in Waring's problem over function fields that are stronger than the results obtained over the integers using the main conjecture in Vinogradov's m…
math.AG2024
Big monodromy for higher Prym representations
Aaron Landesman, Daniel Litt, Will Sawin
Let be a cover of an orientable surface of genus g by an orientable surface of genus g', branched at n points, with Galois group H. Such a cover induces a virtual a…