Browsing by Author "Martin, Kimball"

Now showing items 1-7 of 7

    • A-Species 

      Hausmann, Erin (2023-05-12)
      We introduce a generalized notion of combinatorial species called $A$-species, where $A$ is a Hopf algebra. The role played by the symmetric group, $S_n$, in the classical theory of species is now replaced with the wreath ...

    • Arithmetic in Quaternion Algebras and Quaternionic Modular Forms 

      Wiebe, Jordan (2019-05-10)
      This dissertation has two parts. In the first part, we revisit the correspondence between spaces of modular forms and orders in quaternion algebras addressed first by Eichler and completed by Hijikata, Pizer, and Shemanske, ...

    • Combinatorial Aspects of the Ikeda Lift via Extended Gross-Keating Data 

      Dynes, Patrick (2023-05-12)
      This thesis is motivated by the problem of studying the Ikeda lift via a converse theorem due to R. Weissauer. We investigate a certain function; denoted by 𝜙(𝑎; 𝐵), where 𝑎 is a positive integer and 𝐵 is a symmetric ...

    • THE ENUMERATION PROBLEM ON NUMERICAL MONOIDS 

      Edwards, Craig (2019-05-10)
      Even though the problem of counting points with integer coordinates on a (rational) polytope has connections to sophisticated mathematical topics like Algebraic K-Theory, Fourier-Dedekind Sums, Heegard-Floer Homology, ...

    • Generalized Polynomial Superfunctors 

      Randich, Joseph (2022-05-13)
      We introduce a generalized notion of homogeneous strict polynomial functors defined over a superalgebra, $A$. In particular, we define two closely related families of categories $\mathsf{P}^d_A$ and $\mathsf{P}^d_{(A,\ma ...

    • Physical Knowledge Based Scalable Phased Array Antenna Modeling for Radar Systems 

      Perera, Sudantha (2016-12-16)
      The development of a large-scale phased array radar system such as the future MPAR will need a cost-effective tool for predicting electromagnetic characteristics of antennas. Simulating and optimizing of large finite phased ...

    • The representations of p-adic fields associated to elliptic curves 

      Turki, Salam (2015)
      The goal of this dissertation is to find the irreducible, admissible representation of GL(2; F) attached to an elliptic curve E over a p-adic field F. Associated to E is a 2-dimensional complex representation of the ...