• Parabolic quantitative rectifiability 

    Hoffman, John L (University of Missouri--Columbia, 2023)
    The purpose of this thesis is to develop a parabolic analog of uniform rectifiability. First, we provide a very general result concerning corona decompositions and the big pieces functor. This result is stated in a very ...
  • Random sections of star bodies 

    Simanjuntak, Paul Yaohan (University of Missouri--Columbia, 2023)
    This thesis concerns analytic and geometric aspects of random sections of star bodies and their implications for problems in stochastic geometry. We treat isoperimetric inequalities and distribution of volumes of such ...