166 citations · 562 across the 54 of their papers we have counts for
5 papers · 1 filter
Bilinear forms with Kloosterman sums and applications
E. Kowalski, Ph. Michel, W. Sawin
We prove non-trivial bounds for general bilinear forms in hyper-Kloosterman sums when the sizes of both variables may be below the Pólya-Vinogradov range. We then derive applicatio…
Rational cohomology tori
Olivier Debarre, Zhi Jiang, Martí Lahoz +1
We study normal compact Kähler spaces whose rational cohomology ring is isomorphic to that of a complex torus. We call them rational cohomology tori. We classify, up to dimension t…
Positivity of GIT heights of zero-cycles and hyperplane arrangements
Ashwath Rabindranath, William F. Sawin
In 1996 as part of the development of arithmetic intersection theory and Arakelov theory, Zhang defined a "GIT height function" for semi-stable algebraic cycles in projective space…
Ordinary Primes for Abelian Surfaces
William F. Sawin
We compute the density of the set of ordinary primes of an abelian surface over a number field in terms of the l-adic monodromy group. Using the classification of l-adic monodromy…
Ramanujan Coverings of Graphs
Chris Hall, Doron Puder, William F. Sawin
Let be a finite connected graph, and let be the spectral radius of its universal cover. For example, if is -regular then . We show that for every ,…