Yamagami, Atsushi:COE Researcher,Algebra,Fiscal Year 2003

Keyword(s):
deformation theory of Galois representations, modular forms and Hecke algebras
Research Interest:
Algebraic number theory
Research Activities:
The aim of my study is solving ``Gouvea's conjecture`` which says that for a residual modular Galois representation, the universal deformation ring is isomorphic to the universal modular deformation ring. Research Papers: 1. On Gouvea's conjecture on controlling the conductor, J. Number Theory 94 (2002), 90-102. 2. On Gouvea's conjecture in the unobstructed case, J. Number Theory 99 (2003), 120-138.