7 citations · 31 across the 18 of their papers we have counts for
19 papers
Ranks of Matrices of Logarithms of Algebraic Numbers II: The Matrix Coefficient Conjecture
Samit Dasgupta, Mahesh Kakde
Many questions in number theory concern the nonvanishing of determinants of square matrices of logarithms (complex or p-adic) of algebraic numbers. We present a new conjecture that…
On The Equivariant Tamagawa Number Conjecture
Samit Dasgupta, Mahesh Kakde, Jesse Silliman
Let be a totally real field and a finite abelian CM extension of . Using class field theory, we show that our previous result giving a strong form of the Brumer-Stark co…
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 .
On the Brumer-Stark Conjecture and Refinements
Samit Dasgupta, Mahesh Kakde
We state the Brumer-Stark conjecture and motivate it from two perspectives. Stark's perspective arose in his attempts to generalize the classical Dirichlet class number formula for…
Brumer-Stark Units and Explicit Class Field Theory
Samit Dasgupta, Mahesh Kakde
Let be a totally real field of degree and an odd prime. We prove the -part of the integral Gross--Stark conjecture for the Brumer--Stark -units living in CM abeli…