3 papers
math.NT2026
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…
math.AG2025
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…
math.NT2024
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 1…