4 papers
On the radii of Voronoi cells of rings of integers
Frauke M. Bleher, Ted Chinburg, Xuxi Ding +2
Since the time of Minkowski a basic problem in number theory has been to find lower bounds for the absolute value of the discriminant of a number field in terms of the d…
Triple Massey products for higher genus curves
Frauke M. Bleher, Ted Chinburg, Jean Gillibert
We study the vanishing of triple Massey products for absolutely irreducible smooth projective curves over a number field. For each genus and each prime , we const…
LLL Algorithm for Lattice Basis Reduction
Alex Kalbach, Ted Chinburg
This is an expository paper intended to introduce the polynomial time lattice basis reduction algorithm first described by Arjen Lenstra, Hendrik Lenstra, and László Lovász in 1982…
Two variable polynomial congruences and capacity theory
T. Chinburg, B. Hemenway Falk, N. Heninger +1
We use capacity theory to analyze Coppersmith's method for finding small solutions of linear two variable polynomial congruences. We show that the method will succeed in a positive…