Patrick Brodie Allen

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

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Research Output 2007 2016

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

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

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
Elliptic Curves

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