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Theses/Dissertations from 2022

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Tropical Geometry of T-Varieties with Applications to Algebraic Statistics, Joseph Cummings

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Inverse Boundary Value Problems for Polyharmonic Operators With Non-Smooth Coefficients, Landon Gauthier

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Geometric Properties of Weighted Projective Space Simplices, Derek Hanely

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Batch Normalization Preconditioning for Neural Network Training, Susanna Luisa Gertrude Lange

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The v1-Periodic Region in Complex Motivic Ext And a Real Motivic v1-Selfmap, Ang Li

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On Flow Polytopes, nu-Associahedra, and the Subdivision Algebra, Matias von Bell

Theses/Dissertations from 2021

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The Smallest Solution of an Isotropic Quadratic Form, Deborah H. Blevins

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A Tropical Approach to the Brill-Noether Theory Over Hurwitz Spaces, Kaelin Cook-Powell

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Solubility of Additive Forms over Local Fields, Drew Duncan

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Some Proofs Regarding Minami Estimates and Local Eigenvalue Statistics for some Random Schrödinger Operator Models, Samuel Herschenfeld

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Weight Distributions, Automorphisms, and Isometries of Cyclic Orbit Codes, Hunter Lehmann

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The Plus-Minus Davenport Constant of Finite Abelian Groups, Darleen S. Perez-Lavin

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Combinatorial Invariants of Rational Polytopes, Andrés R. Vindas Meléndez

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Maximums of Total Betti Numbers in Hilbert Families, Jay White

Theses/Dissertations from 2020

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Eigenvalue Statistics and Localization for Random Band Matrices with Fixed Width and Wegner Orbital Model, Benjamin Brodie

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Periodic Points on Tori: Vanishing and Realizability, Shane Clark

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Orthogonal Recurrent Neural Networks and Batch Normalization in Deep Neural Networks, Kyle Eric Helfrich

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The Direct Scattering Map for the Intermediate Long Wave Equation, Joel Klipfel

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Unitary and Symmetric Structure in Deep Neural Networks, Kehelwala Dewage Gayan Maduranga

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Algebraic and Geometric Properties of Hierarchical Models, Aida Maraj

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Solutions to Systems of Equations over Finite Fields, Rachel Petrik

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SIMULTANEOUS ZEROS OF A SYSTEM OF TWO QUADRATIC FORMS, Nandita Sahajpal

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Scrollar Invariants of Tropical Chains of Loops, Kalila Joelle Sawyer

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Geometry of Linear Subspace Arrangements with Connections to Matroid Theory, William Trok

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Graph-Theoretic Simplicial Complexes, Hajos-type Constructions, and k-Matchings, Julianne Vega