3 citations · 4 across the 5 of their papers we have counts for
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Kida's formula and congruences
Robert Pollack, Tom Weston
We prove a formula (analogous to that of Kida in classical Iwasawa theory and generalizing that of Hachimori-Matsuno for elliptic curves) giving the analytic and algebraic p-adic I…
Iwasawa invariants of Galois deformations
Tom Weston
We study the behavior of Iwasawa invariants among ordinary deformations of a fixed residual Galois representation taking values in a reductive algebraic group G. In particular, und…
Power residues of Fourier coefficients of modular forms
Tom Weston
Let r : G_Q -> GL_n Q_l be a motivic l-adic Galois representation. For fixed m > 1 we initiate an investigation of the density of the set of primes p such that the trace of the ima…
Explicit unobstructed primes for modular deformation problems of squarefree level
Tom Weston
Let f be a newform of weight at least 2 and squarefree level with Fourier coefficients in a number field K. We give explicit bounds, depending on congruences of f with other newfor…
Unobstructed modular deformation problems
Tom Weston
Let f be a newform of weight at least 3 with Fourier coefficients in a number field K. We show that the universal deformation ring of the mod lambda Galois representation associate…