### On the density of modular representations, by Fernando Q. Gouvêa and Barry Mazur

This paper has appeared in Computational perspectives on number theory
(Chicago, IL, 1995), 127-142, AMS/IP Stud. Adv. Math. 7, Amer. Math.
Soc., Providence, RI, 1998 and so the dvi version has been removed. In this article, which is to appear in the proceedings of the Atkin
conference held in Chicago in September of 1995, we explore the problem of
describing the universal deformation of a Galois representation in terms of
modular forms by considering a very special case: we assume a "level p"
situation, "non-critical slope", and an "unobstructed" deformation
problem. These assumptions allow us to give a "modular" description of
the universal deformation ring, and to relate it to a certain Hecke
algebra.
The dvi file requires the "xypic" fonts.

Fernando Q. Gouvêa and Barry Mazur <fqgouvea@colby.edu>