6 citations · 18 across the 18 of their papers we have counts for
21 papers
Through the lens of the Eisenstein ideal
Romyar Sharifi
This paper exposits relationships between the geometry of modular curves and the arithmetic of cyclotomic fields through the Eisenstein ideal. For an integer and an odd p…
An extension of the Fukaya-Kato method
Romyar T. Sharifi
In a groundbreaking paper, T. Fukaya and K. Kato proved a slight weakening of a conjecture of the author's relating modular symbols and cup products of cyclotomic units under an as…
Eisenstein cocycles in motivic cohomology
Romyar Sharifi, Akshay Venkatesh
Several authors have studied homomorphisms from first homology groups of modular curves to the second K-group of a cyclotomic ring or a modular curve X. These maps send Manin symbo…
Generalized Bockstein maps and Massey products
Yeuk Hay Joshua Lam, Yuan Liu, Romyar Sharifi +2
Given a profinite group G of finite p-cohomological dimension and a pro-p quotient H of G by a closed normal subgroup N, we study the filtration on the Iwasawa cohomology of N by p…
Exterior powers in Iwasawa theory
F. Bleher, T. Chinburg, R. Greenberg +3
The Iwasawa theory of CM fields has traditionally concerned Iwasawa modules that are abelian pro-p Galois groups with ramification allowed at a maximal set of primes over p such th…
Reciprocity maps with restricted ramification
Romyar T. Sharifi
We compare two maps that arise in study of the cohomology of number fields with ramification restricted to a finite set S of primes. One of these maps, which we call an S-reciproci…