206 citations · 948 across the 113 of their papers we have counts for
130 papers
On the classification of small cyclotomic integers
Jitendra Bajpai, Srijan Das, Kiran S. Kedlaya +1
We give a general classification theorem for cyclotomic algebraic integers with all complex absolute values bounded by a fixed constant , modeled on the theorem of Cassels which…
Products of point counts of higher genus curves over finite fields
Alina Bucur, Kiran S. Kedlaya, Arshay Sheth
Let be an elliptic curve and for each prime , let denote the number of points of modulo . The original version of the conjecture of Birch and Swinnert…
The exceptional set in Cassel's theorem on small cyclotomic integers
Jitendra Bajpai, Srijan Das, Kiran S. Kedlaya +4
In a 1965 paper, R. Robinson made five conjectures about the classification of cyclotomic algebraic integers for which the maximum absolute value in any complex embedding (the hous…
Compatibility of -isocrystals on adjoint Shimura varieties
Jake Huryn, Kiran S. Kedlaya, Christian Klevdal +1
In this article, we extend past results of the last two authors to include compatibility of canonical -adic local systems and canonical -isocrystals on adjoint Shimura var…
On the relative Nullstellensatz in nonarchimedean geometry
Kiran S. Kedlaya, Yutaro Mikami
We establish a relative version of the Nullstellensatz for algebras topologically of finite type over a given Banach Tate ring , under the assumption that the corresponding stat…
Bounds for the relative class number problem for function fields
Santiago Arango-Piñeros, María Chara, Asimina S. Hamakiotes +2
We establish bounds on a finite separable extension of function fields in terms of the relative class number, thus reducing the problem of classifying extensions with a fixed relat…