• Arithmetic and Intermediate Jacobians of Calabi-Yau threefolds 

      Molnar, Alexander (2015-09-10)
      This thesis is centered around particular Calabi-Yau threefolds. Borcea \cite{Borcea} and Voisin \cite{Voisin} construct Calabi-Yau threefolds using elliptic curves and K3 surfaces with non-symplectic involutions. This ...
    • Generalization of Ruderman's Problem to Imaginary Quadratic Fields 

      Rundle, Robert John (2012-04-13)
      In 1974, H. Ruderman posed the following question: If $(2^m-2^n)|(3^m-3^n)$, then does it follow that $(2^m-2^n)|(x^m-x^n)$ for every integer $x$? This problem is still open. However, in 2011, M. R. Murty and V. K. Murty ...