166 citations · 562 across the 54 of their papers we have counts for
4 papers · 1 filter
Algebraic twists of -functions
Yongxiao Lin, Philippe Michel, Will Sawin
We prove that the coefficients of a Rankin--Selberg -function do not correlate with a wide class of trace functions of small conductor modulo…
A geometric approach to the sup-norm problem for automorphic forms: the case of newforms on with squarefree level
Will Sawin
The sup-norm problem in analytic number theory asks for the largest value taken by a given automorphic form. We observe that the function-field version of this problem can be reduc…
Bounds for the stalks of perverse sheaves in characteristic p and a conjecture of Shende and Tsimerman
Will Sawin, Jacob Tsimerman
We prove a characteristic p analogue of a result of Massey which bounds the dimensions of the stalks of a perverse sheaf in terms of certain intersection multiplicities of the char…
Free rational points on smooth hypersurfaces
Tim Browning, Will Sawin
Motivated by a recent question of Peyre, we apply the Hardy-Littlewood circle method to count "sufficiently free" rational points of bounded height on arbitrary smooth projective h…