Patrick Brodie Allen

20072016
If you made any changes in Pure, your changes will be visible here soon.

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

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

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
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