• Epsilon multiplicity for graded algebras 

    Das, Suprajo (University of Missouri--Columbia, 2020)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] The notion of epsilon multiplicity was originally defined by Ulrich and Validashti as a limsup and they used it to detect integral dependence of ...
  • Frames with desired angle properties 

    Tran, Tin Thien (University of Missouri--Columbia, 2020)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] The purpose of this dissertation is to study frames with desired angle properties. More precisely, we study the subspace packing problem, harmonic ...
  • Frobenius closure and prime characteristic singularities 

    Maddox, Kyle Logan (University of Missouri--Columbia, 2020)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] This dissertation outlines several results about prime characteristic singularities for which the nilpotent part under the induced Frobenius action ...