## Mathematics Dissertations

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#### Theses/Dissertations from 2017

Ardila, Rene (2017), Morita equivalence of W*-correspondences and their Hardy algebras

de Santiago, Rolando (2017), Structural results for von Neumann algebras of poly-hyperbolic groups

Ligo, Richard G. (2017), Conformal transformations, curvature, and energy

Liu, Suhui (2017), Projected Wirtinger gradient descent for spectral compressed sensing

Norton, Rachael M. (2017), Pick interpolation, displacement equations, and W*-correspondences

Pant, Sujan (2017), Structural results in group von Neumann algebra

Qin, Huan (2017), Averages of fractional exponential sums weighted by Maass forms

Ramirez Aviles, Camila Alexandra (2017), P-bigon right-veeringness and overtwisted contact structures

Rodman, Daniel (2017), An infinite family of links with critical bridge spheres

#### Theses/Dissertations from 2016

Abdulwahid, Adnan Hashim (2016), Cofree objects in the categories of comonoids in certain abelian monoidal categories

Almodóvar Velázquez, Leyda Michelle (2016), Studying brain networks via topological data analysis and hierarchical clustering

Bates, Dana Michelle (2016), On a free boundary problem for ideal, viscous and heat conducting gas flow

Colón, Nelson Abdiel (2016), Localized Skein Algebras as Frobenius extensions

Czarnecki, Kyle Jeffrey (2016), Resonance sums for Rankin-Selberg products

Druivenga, Nathan (2016), Quantum topology and me

Gerstle, Kevin Charles (2016), On the Green rings of pointed, coserial Hopf algebras

Griesenauer, Erin (2016), Algebras of cross sections

Grove, Colin Michael (2016), A combinatorial approach to the Cabling Conjecture

Margolin, Benjamin Paul (2016), Non-commutative deformation rings

Salazar, Nathan (2016), Resonance for Maass forms in the spectral aspect

Savala, Paul (2016), Computing spectral data for Maass cusp forms using resonance

Tipton, James Edward (2016), Reproducing Kernel Hilbert spaces and complex dynamics

Yu, Lu (2016), Wavelets on hierarchical trees

#### Theses/Dissertations from 2015

Borchers, Brian Edward (2015), Uniquely clean elements, optimal sets of units and counting minimal sets of units

Good, Jennifer Rose (2015), Weighted interpolation over W*-algebras

Honken, Annette Marie (2015), Mapping distance one neighborhoods within knot distance graphs

Koffi, Gerard Diant (2015), Modules and orbits of the regular action, and deformations of incidence algebras

Meyer, David Christopher (2015), Universal deformation rings and fusion

Ortiz, Marcos A. (2015), Convex decomposition techniques applied to handlebodies

Salazar-Torres, Dido Uvaldo (2015), The Khovanov homology of the jumping jack

Soto, Roberto Carlos (2015), Universal deformation rings and semidihedral 2-groups

Wackwitz, Daniel Joseph (2015), Versal deformation rings of modules over Brauer tree algebras

Wassink, Luke Samuel (2015), Split covers for certain representations of classical groups

Williams, Jessica Lynn (2015), A ring theoretic approach to radicals of extensions

#### Theses/Dissertations from 2013

Benson, Katherine Forcelle (2013), On Radio Labeling of Diameter N-2 and Caterpillar Graphs

Brooks, Susan Cecile (2013), The Geometry and Topology of Wide Ribbons

Florescu, Alina Anca (2013), Reduced [tau]_n-factorizations in Z and [tau]_n-factorizations in N

Gaebler, David (2013), Unital dilations of completely positive semigroups

Goertzen, Corissa Marie (2013), Operations on Infinite x Infinite Matrices and Their Use in Dynamics and Spectral Theory

Jones, Garrett L. (2013), Modeling knotted proteins with tangles

Juett, Jason Robert (2013), Some topics in abstract factorization

Mooney, Christopher Park (2013), Generalized factorization in commutative rings with zero-divisors

Niedzialomski, Amanda Jean (2013), Consecutive radio labelings and the Cartesian product of graphs

Niedzialomski, Robert (2013), Extension of positive definite functions

Teff, Nicholas James (2013), The Hessenberg Representation

Wolf, Travis (2013), Coisometric Extensions

#### Theses/Dissertations from 2012

Averett, Syvillia Ann (2012), Some representations of SL∗(2,A)

De la Mora, Carlos (2012), Explicit plancherel measure for PGL_2(F)

Greene, Andrew Koichi (2012), Extensions of Hilbert modules over tensor algebras

Insko, Erik Andrew (2012), Equivariant cohomology and local invariants of Hessenberg varieties

Price, Candice Renee (2012), A biological application for the oriented skein relation

Schirmer, Trenton Frederick (2012), Two varieties of tunnel number subadditivity

Talbott, Shannon Nicole (2012), Universal deformation rings of modules for algebras of dihedral type of polynomial growth

Udrea, Bogdan Teodor (2012), Applications of deformation rigidity theory in Von Neumann algebras

Welch, Stephen William (2012), C¹,α regularity for boundaries with prescribed mean curvature

Wright, Carmen (2012), Some representation theory of the group Sl*(2,A) where A=M(2,O/p^2) and * equals transpose

Zupan, Alexander Martin (2012), Thin position, bridge structure, and monotonic simplification of knots

#### Theses/Dissertations from 2011

Correa, Alvaro (2011), Bifurcation theory for a class of second order differential equations

Drube, Paul Harlan (2011), TQFT diffeomorphism invariants and skein modules

Flournoy, Cecil Buford Jr. (2011), N-parameter Fibonacci AF C*-Algebras

Gillespie, Timothy Lee (2011), Superposition of zeros of automorphic L-functions and functoriality

Lai, Mijia (2011), Fully nonlinear flows and Hessian equations on compact Kahler manifolds

Tian, Feng (2011), On commutativity of unbounded operators in Hilbert space

Williams, Kristopher John (2011), The Milnor fiber associated to an arrangement of hyperplanes

Yoo, Seonguk (2011), Extremal sextic truncated moment problems

#### Theses/Dissertations from 2010

Boerner, Jeffrey Thomas Conley (2010), Khovanov homology in thickened surfaces

Hager, Amanda C. (2010), Freeness of hyperplane arrangement bundles and local homology of arrangement complements

Hager, William George (2010), Critical knots for minimum distance energy and complementary domains of arrangements of hypersurfaces

Mbirika, Abukuse III (2010), Analysis of symmetric function ideals: towards a combinatorial description of the cohomology ring of Hessenberg varieties

McDougall, Adam Corey (2010), Relating Khovanov homology to a diagramless homology

McKinney, Colin Bryan Powell (2010), Conjugate diameters: Apollonius of Perga and Eutocius of Ascalon

Meyer, Jonas R. (2010), Noncommutative Hardy algebras, multipliers, and quotients

Rao, Arvind Satya (2010), Weak solutions to a Monge-Ampère type equation on Kähler surfaces

Reinkoester, Jeremiah N. (2010), Relative primeness

Schmidt, Samuel William (2010), Endomorphisms, composition operators and Cuntz families

Um, Ko Woon (2010), Elliptic equations with singular BMO coefficients in reifenberg domains

Vélez Marulanda, José Alberto (2010), Universal deformation rings of modules over self-injective algebras

Willis, Paulette Nicole (2010), C*-algebras of labeled graphs and *-commuting endomorphisms

Xu, Da (2010), Classical groups, integrals and Virasoro constraints

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#### Theses/Dissertations from 2017

On the Existence of Non-Free Totally Reflexive Modules, J. Cameron Atkins

Unconditionally Energy Stable Numerical Schemes for Hydrodynamics Coupled Fluids Systems, Alexander Yuryevich Brylev

Convergence and Rate of Convergence of Approximate Greedy-Type Algorithms, Anton Dereventsov

Covering Subsets of the Integers and a Result on Digits of Fibonacci Numbers, Wilson Andrew Harvey

Nonequispaced Fast Fourier Transform, David Hughey

Deep Learning: An Exposition, Ryan Kingery

A Family of Simple Codimension Two Singularities with Infinite Cohen-Macaulay Representation Type, Tyler Lewis

#### Theses/Dissertations from 2016

On Crown-free Set Families, Diffusion State Difference, and Non-uniform Hypergraphs, Edward Lawrence Boehnlein

Structure of the Stable Marriage and Stable Roommate Problems and Applications, Joe Hidakatsu

Binary Quartic Forms over Fp, Daniel Thomas Kamenetsky

On a Constant Associated with the Prouhet-Tarry-Escott Problem, Maria E. Markovich

Some Extremal And Structural Problems In Graph Theory, Taylor Mitchell Short

Chebyshev Inversion of the Radon Transform, Jared Cameron Szi

Modeling of Structural Relaxation By A Variable-Order Fractional Differential Equation, Su Yang

#### Theses/Dissertations from 2015

Modeling, Simulation, and Applications of Fractional Partial Differential Equations, Wilson Cheung

Modeling, Simulation, and Applications of Fractional Partial Differential Equations, Wilson Cheung

The Packing Chromatic Number of Random d-regular Graphs, Ann Wells Clifton

Commutator Studies in Pursuit of Finite Basis Results, Nathan E. Faulkner

Avoiding Doubled Words in Strings of Symbols, Michael Lane

A Survey of the Kinetic Monte Carlo Algorithm as Applied to a Multicellular System, Michael Richard Laughlin

Toward the Combinatorial Limit Theory of free Words, Danny Rorabaugh

Trees, Partitions, and Other Combinatorial Structures, Heather Christina Smith

Fast Methods for Variable-Coefficient Peridynamic and Non-Local Diffusion Models, Che Wang

Modeling and Computations of Cellular Dynamics Using Complex-fluid Models, Jia Zhao

#### Theses/Dissertations from 2014

The Non-Existence of a Covering System with all Moduli Distinct, Large and Square-Free, Melissa Kate Bechard

Explorations in Elementary and Analytic Number Theory, Scott Michael Dunn

Independence Polynomials, Gregory Matthew Ferrin

Turán Problems on Non-uniform Hypergraphs, Jeremy Travis Johnston

On the Group of Transvections of ADE-Diagrams, Marvin Jones

Fake Real Quadratic Orders, Richard Michael Oh

#### Theses/Dissertations from 2013

Shimura Images of A Family of Half-Integral Weight Modular Forms, Kenneth Allan Brown

Sharp Bounds Associated With An Irreducibility Theorem For Polynomials Having Non-Negative Coefficients, Morgan Cole

Deducing Vertex Weights From Empirical Occupation Times, David Collins

Analysis and Processing of Irregularly Distributed Point Clouds, Kamala Hunt Diefenthaler

Generalizations of Sperner's Theorem: Packing Posets, Families Forbidding Posets, and Supersaturation, Andrew Philip Dove

Spectral Analysis of Randomly Generated Networks With Prescribed Degree Sequences, Clifford Davis Gaddy

Selected Research In Covering Systems of the Integers and the Factorization of Polynomials, Joshua Harrington

The Weierstrass Approximation Theorem, LaRita Barnwell Hipp

The Compact Implicit Integration Factor Scheme For the Solution of Allen-Cahn Equations, Meshack K. Kiplagat

Applications of the Lopsided Lovász Local Lemma Regarding Hypergraphs, Austin Tyler Mohr

Study On Covolume-Upwind Finite Volume Approximations For Linear Parabolic Partial Differential Equations, Rosalia Tatano

Coloring Pythagorean Triples and a Problem Concerning Cyclotomic Polynomials, Daniel White

#### Theses/Dissertations from 2012

A Computational Approach to the Quillen-Suslin Theorem, Buchsbaum-Eisenbud Matrices, and Generic Hilbert-Burch Matrices, Jonathan Brett Barwick

Mathematical Modeling and Computational Studies for Cell Signaling, Kanadpriya Basu

Fast Solution Methods For Fractional Diffusion Equations and Their Applications, Treena Basu

Greedy Algorithm and M-Term Trigonometric Approximation: A Survey, Grace Elizabeth Brown

Phase-Field Model For Heterogeneous Biofilm-Solvent Interaction and 3-D Numerical Simulation by GPUs, Chen Chen

A Fast Preconditioner For Helmholtz Equation, XIAODI DENG

Spectra of Hypergraphs, Aaron Michael Dutle

Irreducibility Criteria For Polynomials With Non-Negative Integer Coefficients, and the Prime Factorization of F(N) For F(X) In Z[X], Samuel S. Gross

The Uniform Box Product of Some Spaces With One Non-Isolated Point, Jeffrey Gene Hankins

Phylogenetic Tree Inferences Using Quartet Splits, Kevin Hathcock

Enumeration Results On Leaf Labeled Trees, Virginia Perkins Johnson

An Overview of the Constructive Local Lemma, William Kay

Fractional Chromatic Numbers and Spectra of Graphs, Xing Peng

Classifying Polynomials With Reducible Nonreciprocal Parts and the Factorization of Values of Polynomials, Andrew Fletcher Vincent

A Multigrid Acceleration for an ADI Finite Difference Method for Two-Dimensional Space Fractional Diffusion Equations, Liwei Wang

Covolume-Upwind Finite Volume Approximations For Linear Elliptic Partial Differential Equations, Xiao Xiao

Fibonacci Sets In Discrepancy Theory and Numerical Integration, Rui Yu

#### Theses/Dissertations from 2011

D-Spaces and L-Special Trees, Heather Gamel

On the Integrability of Derivatives of Holomorphic and M-Subharmonic Inner Functions In the Unit Ball of Cn, Matthew Gamel

A Bound for the Irrationality Measure of & zeta(3), Paul Hendrick

Super Greedy Type Algorithms and Applications In Compressed Sensing, Entao Liu

Extremal Problems On Families of Subsets With Forbidden Subposets, Wei-Tian Li

Greedy Algorithms and Incoherent Systems, Jessica Lee Nelson

Multi-Parameter Algorithms For Smoothing Data As Applied to Curves, Contours, and Images, Holly Lynn Watson

Behavior of partition values modulo powers of primes, John J. B. Webb

Greedy Algorithms In Approximation Theory and Compressed Sensing, Mingrui Yang

#### Theses/Dissertations from 2010

On A Conjecture of Pal Turan and Investigations Into Galois Groups of Generalized Laguerre Polynomials, Pradipto Banerjee

On the Finite Axiomatizability of Equational Theories of Automatic Algebras, John Boozer

A Review of Some Important Conclusions about the Paving Conjecture, Xiaocong Deng

Construction of Centroidal Voronoi Tessellations Using A Conjugate Gradient Method Based On Trust Regions, Jing Liu

Mathematical Models, Algorithms, and Statistics of Sequence Alignment, Tatiana Orlova

On Gorenstein Rings and G-Dimension, Ada Michelle Park

Interpolation of Functions by Integer Points In Complex Analysis, Pathirajage Ranil Nishantha Wanigasiri

Over-Relaxation Lloyd Method For Computing Centroidal Voronoi Tessellations, Xiao Xiao

Genome Rearrangement, Randic Index and Routing Number, Yiting Yang

Additive Lebesgue-Type Inequalities for Greedy Approximation, Pavel Zheltov

#### Theses/Dissertations from 2009

Sparse Approximation In Banach Spaces, Daniel Savu

Dynamics and Rheology of Biaxial Liquid Crystal Polymers, Sarthok K. Sircar

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