4 papers
Counterexamples for Türkelli's Modification on Malle's Conjecture
Jiuya Wang
We give counterexamples for the modification on Malle's Conjecture given by Türkelli. Türkelli's modification on Malle's conjecture is inspired by an analogue of Malle's conjecture…
Inductive methods for counting number fields
Brandon Alberts, Robert J. Lemke Oliver, Jiuya Wang +1
We give a new method for counting extensions of a number field asymptotically by discriminant, which we employ to prove many new cases of Malle's Conjecture and counterexamples to…
The Residually Indistinguishable Case of Ribet's Method for GL2
Samit Dasgupta, Mahesh Kakde, Jesse Silliman +1
Ribet's method provides a strategy for constructing a nontrivial extension of a -adic Galois representation by another such representation . Suppose we are working ov…
The Brumer--Stark Conjecture over Z
Samit Dasgupta, Mahesh Kakde, Jesse Silliman +1
In this paper we give a complete proof of the Brumer-Stark conjecture over .