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

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

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 journalArticle

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 journalArticle

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 journalArticle

Linear recurrence
Multiplicity
Linear independence
Lemma
Zero