Research Output per year

## Fingerprint Fingerprint is based on mining the text of the expert's scholarly documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Galois Representations
Mathematics

Ring
Mathematics

Selmer Group
Mathematics

Linear Recurrence
Mathematics

Linear independence
Mathematics

Modularity
Mathematics

Finiteness
Mathematics

Lemma
Mathematics

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## Research Output 2007 2016

- 4 Article

## Deformations of polarized automorphic galois representations and adjoint selmer groups

Allen, P. B. Sep 15 2016 In : Duke Mathematical Journal. 165, 13, p. 2407-2460 54 p.Research output: Research - peer-review › Article

Selmer Group

Galois Representations

Ring

Automorphic Representations

Fiber

## Finiteness of unramified deformation rings

Allen, P. B. & Calegari, F. 2014 In : Algebra and Number Theory. 8, 9, p. 2263-2272 10 p.Research output: Research - peer-review › Article

Finiteness

Ring

Galois Representations

Representation Formula

Galois field

## Modularity of nearly ordinary 2-adic residually dihedral Galois representations

Allen, P. B. Jun 16 2014 In : Compositio Mathematica. 150, 8, p. 1235-1346 112 p.Research output: Research - peer-review › Article

Galois Representations

Modularity

Wiles

Elliptic Curves

Deduce

## On the multiplicity of linear recurrence sequences

Allen, P. B. Oct 2007 In : Journal of Number Theory. 126, 2, p. 212-216 5 p.Research output: Research - peer-review › Article

Linear Recurrence

Linear independence

Lemma

Multiplicity

Zero