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.

- 1 Similar Profiles

Galois Representations
Mathematics

Ring
Mathematics

Selmer Group
Mathematics

Linear Recurrence
Mathematics

Wiles
Mathematics

Linear independence
Mathematics

Modularity
Mathematics

Finiteness
Mathematics

## Research Output 2007 2019

- 5 Article

## On automorphic points in polarized deformation rings

Allen, P. B., Feb 1 2019, In : American Journal of Mathematics. 141, 1, p. 119-167 49 p.Research output: Contribution to journal › Article

Galois Representations

Ring

CM-field

Imply

Irreducible Components

## 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

Selmer Group

Galois Representations

Automorphic Representations

Ring

Wiles

## Finiteness of unramified deformation rings

Allen, P. B. & Calegari, F., Jan 1 2014, In : Algebra and Number Theory. 8, 9, p. 2263-2272 10 p.Research output: Contribution to journal › 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: Contribution to journal › Article

Galois Representations

Modularity

Wiles

Elliptic Curves

Deduce

## On the multiplicity of linear recurrence sequences

Allen, P. B., Oct 1 2007, In : Journal of Number Theory. 126, 2, p. 212-216 5 p.Research output: Contribution to journal › Article

Linear Recurrence

Linear independence

Lemma

Multiplicity

Zero