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Fall 2017
In this thesis, we formulate and prove the theorem of quadratic reciprocity for an arbitrary number field. We follow Hecke and base our argument on analytic techniques and especially on an identity of theta functions called theta inversion. From this inversion formula and a limiting argument, we...

Fall 2015
Riveros Pacheco, David Ricardo
For K/k a finite Galois extension of number fields with G=Gal(K/k) and S a finite Gstable set of primes of K which is "large", Gruenberg and Weiss proved that the ZGmodule structure of the Sunits of K is completely determined up to stable isomorphism by: its torsion submodule, the set S, a...
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