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.

Ring
Mathematics

Galois representations
Mathematics

Linear recurrence
Mathematics

Modularity
Mathematics

Multiplicity
Mathematics

Wiles
Mathematics

Deduce
Mathematics

Selmer group
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: Contribution to journal › Article

Ring

Selmer group

Automorphic representations

Galois 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: Contribution to journal › Article

Ring

Galois representations

Representation formula

Finiteness

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: Contribution to journal › Article

Modularity

Galois representations

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: Contribution to journal › Article

Linear recurrence

Multiplicity

Linear independence

Lemma

Zero