• Algorithm-free methods in fusion frame construction 

    Campbell, Ian (University of Missouri--Columbia, 2022)
    Over the past decade numerous papers have been published with novel methods for proving the existence of and constructing fusion frames under various restrictions on the ambient Hilbert space, set of subspace dimensions, ...
  • Inertial Chow rings and a new asymptotic product 

    Coleman, Thomas, 1988- (University of Missouri--Columbia, 2016)
    For any toric Deligne-Mumford stack X and equivariant vector bundle V , we can define an two associative inertial products. We give a ring presentation for the inertial Chow ring of X under each of these products and compute ...
  • On toric varieties and toric stacks 

    Lisk, Dillon Curtis (University of Missouri--Columbia, 2023)
    In this dissertation, we prove a number of results about toric varieties by utilizing Cox's construction of a toric variety as a good quotient of an open subset of affine space by the action of a diagonalizable group. Our ...
  • Several problems on moduli stacks of hyperelliptic curves 

    Hu, Zhengning (University of Missouri--Columbia, 2023)
    The main objects to investigate in this thesis are the moduli stacks of smooth hyperelliptic curves of genus g, denoted by Hg, and its Deligne-Mumford compactification Hg in Mg. A result by Kleiman and Lonsted says that ...
  • The vanishing of the chow cohomology ring for affine toric varieties and additional results 

    Richey, Ryan Matthew (University of Missouri--Columbia, 2019)
    From the recent work of Edidin and Satriano, given a good moduli space morphism between a smooth Artin stack and its good moduli space X, they prove that the Chow cohomology ring of X embeds into the Chow ring of the stack. ...