A Collection of Personal notes. Quality Varies.

Beginnings of Notes on Representation theory (5/19/06) extremely preliminary
A collection of amusing exercises (8/06/05)
A note about finite dimensional topological vector spaces (11/30/04) proves uniquesness of topology on finite dimensional tvs, also that locally compact tvs are finite dimensional
Compactness of the idele class group  (11/30/04)
Class Field Theory (8/07/05) A mostly self contained account of local and global class field theory, making effective use of poles of L-functions and the Brauer Group, slight novelty in that both Fundamental Inequalities are deduced at the same time
Central Simple Algebras and the Brauer Group  (coming "soon")
Notes on Iwasawa-Tate Theory. Needs extensive revision  (7/31/05) GL(1) theory, following Weil's reinterpretation
Introduction to L-functions  (3/23/06) Riemann/Dedekind Zeta functions, as well as L-functions attatched to modular forms. Tries to show the advantages of adelic methods, as well as point to why we care...
Translation of Weil's Fonction Zeta et Distributions (5/16/05) Reinterprets Iwasawa-Tate theory in terms of equivariant distributions
Existence of the Bernstein Polynomial (11/20/05) via D-modules
Simple Case of Casselman's Subrepresentation Theorem (1/26/06) when the nilpotent radical is abelian


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