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Four-Dimensional Galois Representations of Solvable Type and Automorphic Forms


Martin, Kimball Lee (2004) Four-Dimensional Galois Representations of Solvable Type and Automorphic Forms. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4W9M-GD42.


We investigate the Artin and strong Artin conjectures for continuous, four-dimensional complex Galois representations of solvable type.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Artin's conjecture; Langlands correspondence; modularity
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Mathematics
Awards:Scott Russell Johnson Prize for Excellence in Graduate Study in Mathematics, 2003. Scott Russell Johnson Graduate Dissertation Prize in Mathematics, 2004.
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Ramakrishnan, Dinakar
Thesis Committee:
  • Ramakrishnan, Dinakar (chair)
  • Wales, David B.
  • Goins, Edray
  • Kilford, Lloyd
  • Flach, Matthias
Defense Date:26 May 2004
Record Number:CaltechETD:etd-05272004-224316
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2141
Deposited By: Imported from ETD-db
Deposited On:01 Jun 2004
Last Modified:21 Jan 2021 00:30

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