166 citations · 562 across the 54 of their papers we have counts for
6 papers · 1 filter
Lectures on Applied -adic Cohomology
Etienne Fouvry, Emmanuel Kowalski, Philippe Michel +1
We describe how a systematic use the deep methods from -adic cohomology pioneered by Grothendieck and Deligne and further developed by Katz, Laumon allow to make progress on…
A geometric version of the circle method
Tim Browning, W. Sawin
We develop a geometric version of the circle method and use it to compute the compactly supported cohomology of the space of rational curves through a point on a smooth affine hype…
Improved estimates for polynomial Roth type theorems in finite fields
Dong Dong, Xiaochun Li, Will Sawin
We prove that, under certain conditions on the function pair and , bilinear average along curve …
On the support of the Kloosterman paths
E. Kowalski, W. Sawin
We obtain statistical results on the possible distribution of all partial sums of a Kloosterman sum modulo a prime, by computing explicitly the support of the limiting random Fouri…
Bounds for Matchings in Nonabelian Groups
Will Sawin
We give upper bounds for triples of subsets of a finite group such that the triples of elements that multiply to 1 form a perfect matching. Our bounds are the first to give exponen…
is usually not uniruled in characteristic
Will Sawin
Using etale cohomology, we define a birational invariant for varieties in characteristic that serves as an obstruction to uniruledness - a variant on an obstruction to uniratio…