Now showing items 184-188 of 188

    • Variation of Instability in Invariant Theory 

      Cheng, chi-yu
      When a reductive group acts on an algebraic variety, a linearized ample line bundle induces a stratification on the variety where the strata are ordered by the degrees of instability. In this thesis, we study variation of ...
    • Visibility and Invisibility in Inverse Problems 

      Tarikere Ashok Kumar Nag, Ashwin
      In this thesis, we describe two projects dealing with two different aspects of inverse problems. The first project concerns \emph{visibility}, i.e., the problem of reconstructing the internal properties of a medium from ...
    • Wild Automorphisms and Abelian Varieties 

      Kirson, Antonio (2010)
      An automorphism $\sigma$ of a projective variety $X$ is said to be \textit{wild} if $\sigma(Y)\neq Y$ for every non-empty subvariety $Y\subsetneq X$. In MR2227726 Z. Reichstein, D. Rogalski, and J.J. Zhang conjectured that ...
    • The Zeros of Elliptic Curve L-functions: Analytic Algorithms with Explicit Time Complexity 

      Spicer, Simon Vernon Bok
      Elliptic curves are central objects of study in modern-day algebraic number theory. The problem of how to determine the rank of a rational elliptic curve is a difficult one, and at the time of the writing of this thesis ...
    • Θ-Completeness for Classifying Stacks 

      Theplertboon, Varodom
      We provide a criterion for the classifying stack BGto be Θ-completeover an algebraically closed field of characteristic 0. It is known that the classifying stack BG is Θ-complete when G is a unipotent algebraic group or ...