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Fall 2011
In this thesis we report on several projects that stemmed out from an attempt to obtain an example for the last class in Doran-Morgan classification of ``variations of Hodge structure which can underlie families of Calabi-Yau threefolds over the thrice-punctured sphere with $b^3 = 4$, or...
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Fall 2013
Heegner points on modular curves play a key role in the solution of Hilbert’s twelfth problem for qua- dratic imaginary fields, as well as the proof of the Birch and Swinnerton-Dyer conjecture for the case ords=1 L(E, s) ≤ 1. The relationship between Heegner points and Hilbert’s twelfth is...