Mathematics Theses and Dissertations

 

This collection contains theses and dissertations from the Department of Mathematics, collected from the Scholarship@Western Electronic Thesis and Dissertation Repository

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Theses/Dissertations from 2023

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Polynomial Density Of Compact Smooth Surfaces, Luke P. Broemeling

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COMPLEX-VALUED APPROACH TO KURAMOTO-LIKE OSCILLATORS, Jacqueline Bao Ngoc Doan

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Internal Yoneda Ext Groups, Central H-spaces, and Banded Types, Jarl Gunnar Taxerås Flaten

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Adaptation reshapes the distribution of fitness effects, Diego Tenoch Morales Lopez

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Generating Polynomials of Exponential Random Graphs, Mohabat Tarkeshian

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Geometry in spectral triples: Immersions and fermionic fuzzy geometries, Luuk S. Verhoeven

Theses/Dissertations from 2022

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Reduction of L-functions of Elliptic Curves Modulo Integers, Félix Baril Boudreau

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Polynomial Identities of Algebras with Actions: A Unified Combinatorial Approach, Mayecxiliana Cardenas Montoya

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Automorphism-preserving color substitutions on Profinite Graphs, Michal Cizek

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Multi-Trace Matrix Models from Noncommutative Geometry, Hamed Hessam

Theses/Dissertations from 2021

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Centralizers of abelian Hamiltonian actions on rational ruled surfaces, Pranav Vijay Chakravarthy

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Cubical Models of Higher Categories, Brandon Doherty

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Genus Bounds for Some Dynatomic Modular Curves, Andrew W. Herring

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Equisingular Approximation of Analytic Germs, Aftab Yusuf Patel

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Distribution of the p-Torsion of Jacobian Groups of Regular Matroids, Sergio R. Zapata Ceballos

Theses/Dissertations from 2020

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Equivariant cohomology for 2-torus actions and torus actions with compatible involutions, Sergio Chaves Ramirez

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Locally Persistent Categories And Metric Properties Of Interleaving Distances, Luis N. Scoccola

Theses/Dissertations from 2019

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Of matroid polytopes, chow rings and character polynomials, Ahmed Ashraf

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Graded Character Rings, Mackey Functors and Tambara Functors, Beatrice Isabelle Chetard

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Ricci Curvature of Noncommutative Three Tori, Entropy, and Second Quantization, Rui Dong

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Polynomial and Rational Convexity of Submanifolds of Euclidean Complex Space, Octavian Mitrea

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Albert forms, Quaternions, Schubert Varieties & Embeddability, Jasmin Omanovic

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Enhanced Koszulity in Galois cohomology, Marina Palaisti

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Enriched Derivators, James Richardson

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Torsors over Simplicial Schemes, Alexander S. Rolle

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Essential dimension of parabolic bundles, Dinesh Valluri

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Localization Theory in an Infinity Topos, Marco Vergura

Theses/Dissertations from 2018

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Topological Recursion and Random Finite Noncommutative Geometries, Shahab Azarfar

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Syzygy Order of Big Polygon Spaces, Jianing Huang

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Local Higher Category Theory, Nicholas Meadows

Theses/Dissertations from 2017

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On vector-valued automorphic forms on bounded symmetric domains, Nadia Alluhaibi

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Algebraic Tori: A Computational Approach, Armin Jamshidpey

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Labeling of graphs, sumset of squares of units modulo n and resonance varieties of matroids, Mohsen Mollahajiaghaei

Theses/Dissertations from 2016

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K-Theory Of Root Stacks And Its Application To Equivariant K-Theory, Ivan Kobyzev

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Moduli space and deformations of special Lagrangian submanifolds with edge singularities, Josue Rosario-Ortega

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On Logarithmic Sobolev Inequality And A Scalar Curvature Formula For Noncommutative Tori, Sajad Sadeghi

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Uniform Approximation on Riemann Surfaces, Fatemeh Sharifi

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Gauss-Bonnet-Chern type theorem for the noncommutative four-sphere, Mitsuru Wilson

Theses/Dissertations from 2015

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Galois 2-Extensions, Masoud Ataei Jaliseh

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On Spectral Invariants of Dirac Operators on Noncommutative Tori and Curvature of the Determinant Line Bundle for the Noncommutative Two Torus, Ali Fathi Baghbadorani

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Rationality of the spectral action for Robertson-Walker metrics and the geometry of the determinant line bundle for the noncommutative two torus, Asghar Ghorbanpour

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Inclusions Among Mixed-Norm Lebesgue Spaces, Wayne R. Grey

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A Study Of Green’s Relations On Algebraic Semigroups, Allen O'Hara

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Fourier Inequalities in Lorentz and Lebesgue Spaces, Javad Rastegari Koopaei

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Combinatorial Techniques in the Galois Theory of p-Extensions, Michael Rogelstad

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Quantization of two types of Multisymplectic manifolds, Baran Serajelahi

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Combinatorial Polynomial Identity Theory, Mayada Khalil Shahada

Theses/Dissertations from 2014

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Classification of W-groups of Pythagorean formally real fields, Fatemeh Bagherzadeh Golmakani

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Polynomial Identities on Algebras with Actions, Chris Plyley

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Cohomology of Absolute Galois Groups, Claudio Quadrelli

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Ghost number of group algebras, Gaohong Wang

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Tilting Sheaves on Brauer-Severi Schemes and Arithmetic Toric Varieties, Youlong Yan

Theses/Dissertations from 2013

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On degeneracies in the family of fibres of a complex analytic mapping, Hadi Seyedinejad

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Symplectomorphism Groups of Weighted Projective Spaces and Related Embedding Spaces, Martin L. VanHoof

Theses/Dissertations from 2012

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A Convexity Theorem For Symplectomorphism Groups, Seyed Mehdi Mousavi

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A Homotopy Theory for Diffeological Spaces, Enxin Wu

Theses/Dissertations from 2011

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Arrangements of Submanifolds and the Tangent Bundle Complement, Priyavrat Deshpande

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Characteristic Polynomial of Arrangements and Multiarrangements, Mehdi Garrousian

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Descent Systems, Eulerian Polynomials and Toric Varieties, Letitia Mihaela Golubitsky

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GKM theory of rationally smooth group embeddings, Richard P. Gonzales

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Noncommutative complex geometry of quantum projective spaces, Ali Moatadelro

Theses/Dissertations from 2010

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Holomorphic k-differentials and holomorphic approximation on open Riemann surfaces, Nadya Askaripour

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Descending Central Series of Free Pro-p-Groups, German A. Combariza