13 citations · 31 across the 14 of their papers we have counts for
18 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…
On Constructing Extensions of Residually Isomorphic Characters
Samit Dasgupta
This is an exposition of our joint work with Kakde, Silliman, and Wang, in which we prove a version of Ribet's Lemma for in the residually indistinguishable case. W…
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 .
Two encounters with the p-adic Stark conjecture
Benedict H. Gross, Samit Dasgupta
In this note we describe our personal encounters with the -adic Stark conjecture. Gross describes the period between and when he came to formulate these conjecture…
Ranks of matrices of logarithms of algebraic numbers I: the theorems of Baker and Waldschmidt-Masser
Samit Dasgupta
Let denote the -vector space of logarithms of algebraic numbers. In this expository work, we provide an introduction to the study of ranks of matrices wit…
On the Equality of Three Formulas for Brumer--Stark Units
Samit Dasgupta, Matthew H. L. Honnor, Michael Spieß
We prove the equality of three conjectural formulas for the Brumer--Stark units. The first formula has essentially been proven, so the present paper also verifies the validity of t…
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…
On the Brumer-Stark Conjecture
Samit Dasgupta, Mahesh Kakde
Let be a finite abelian extension of number fields with totally real and a CM field. Let and be disjoint finite sets of places of satisfying the standard…
On Constant Terms of Eisenstein Series
Samit Dasgupta, Mahesh Kakde
We calculate the constant terms of certain Hilbert modular Eisenstein series at all cusps. Our formula relates these constant terms to special values of Hecke -series. This buil…
Sylvester's Problem and Mock Heegner Points
Samit Dasgupta, John Voight
We prove that if is prime and is not a cube modulo , then both of the equations and have a solution with $x,y \in \mathbb{Q…
On the Characteristic Polynomial of the Gross Regulator Matrix
Samit Dasgupta, Michael Spiess
We present a conjectural formula for the principal minors and the characteristic polynomial of Gross's regulator matrix associated to a totally odd character of a totally real fiel…
The Eisenstein cocycle, partial zeta values and Gross--Stark units
Samit Dasgupta, Michael Spieß
We introduce an integral version of the Eisenstein cocycle. As applications we prove a conjecture of Gross regarding the "order of vanishing" of Stickelberger elements relative to…
Integral Eisenstein cocycles on GLn, II : Shintani's method
Pierre Charollois, Samit Dasgupta, Matthew Greenberg
We define a cocycle on Gln using Shintani's method. It is closely related to cocycles defined earlier by Solomon and Hill, but differs in that the cocycle property is achieved thro…
The p-adic L-functions of Evil Eisenstein Series
Joël Bellaïche, Samit Dasgupta
We compute the -adic -functions of evil Eisenstein series, showing that they factor as products of two Kubota--Leopoldt -adic -functions times a logarithmic term. This…
Integral Eisenstein cocycles on GLn, I : Sczech's cocycle and p-adic L-functions of totally real fields
Pierre Charollois, Samit Dasgupta
We define an integral version of Sczech's Eisenstein cocycle on GLn by smoothing at a prime ell. As a result we obtain a new proof of the integrality of the values at nonpositive i…