3 papers
math.NT2023
Derived class field theory
Tony Feng, Michael Harris, Barry Mazur
We sketch the construction of a derived enhancement of the reciprocity isomorphism of class field theory. Details will appear in a forthcoming joint paper of the authors with A. Ra…
math.NT2014
Robert F. Coleman 1954-2014
Matthew Baker, Barry Mazur, Ken Ribet
Robert F. Coleman, a highly original mathematician who has had a profound influence on modern number theory and arithmetic geometry, passed away on March 24, 2014. We give an overv…
math.NT2012
Selmer companion curves
Barry Mazur, Karl Rubin
We say that two elliptic curves E_1, E_2 over a number field K are n-Selmer companions for a positive integer n if for every quadratic character χof K, there is an isomorphism betw…