Patrick Brodie Allen

20072019
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Galois Representations Mathematics
Ring Mathematics
Selmer Group Mathematics
Linear Recurrence Mathematics
Wiles Mathematics
Linear independence Mathematics
Modularity Mathematics
Finiteness Mathematics

Research Output 2007 2019

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 journalArticle

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 journalArticle

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 journalArticle

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 journalArticle

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 journalArticle

Linear Recurrence
Linear independence
Lemma
Multiplicity
Zero