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Mathematics Dissertations

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Theses/Dissertations from 2017

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

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

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

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

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

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

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

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

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

Theses/Dissertations from 2016

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

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

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

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

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

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Druivenga, Nathan (2016), Quantum topology and me

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

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Griesenauer, Erin (2016), Algebras of cross sections

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

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

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

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

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

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Yu, Lu (2016), Wavelets on hierarchical trees

Theses/Dissertations from 2015

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

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

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

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

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

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

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

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

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

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

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

Theses/Dissertations from 2013

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

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

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

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

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

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

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

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

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

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

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Teff, Nicholas James (2013), The Hessenberg Representation

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Wolf, Travis (2013), Coisometric Extensions

Theses/Dissertations from 2012

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

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

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

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

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

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

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

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

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

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

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

Theses/Dissertations from 2011

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

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

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

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

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

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

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

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

Theses/Dissertations from 2010

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

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

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

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

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

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

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

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

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Reinkoester, Jeremiah N. (2010), Relative primeness

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

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

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

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

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

 

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Theses/Dissertations from 2017

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

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

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

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

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Nonequispaced Fast Fourier Transform, David Hughey

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Deep Learning: An Exposition, Ryan Kingery

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

Theses/Dissertations from 2016

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

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

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Binary Quartic Forms over Fp, Daniel Thomas Kamenetsky

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

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

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Chebyshev Inversion of the Radon Transform, Jared Cameron Szi

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

Theses/Dissertations from 2015

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

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

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

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

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Avoiding Doubled Words in Strings of Symbols, Michael Lane

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

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Toward the Combinatorial Limit Theory of free Words, Danny Rorabaugh

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

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

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

Theses/Dissertations from 2014

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

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Explorations in Elementary and Analytic Number Theory, Scott Michael Dunn

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Independence Polynomials, Gregory Matthew Ferrin

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Turán Problems on Non-uniform Hypergraphs, Jeremy Travis Johnston

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

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Fake Real Quadratic Orders, Richard Michael Oh

Theses/Dissertations from 2013

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

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

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Deducing Vertex Weights From Empirical Occupation Times, David Collins

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

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

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

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

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The Weierstrass Approximation Theorem, LaRita Barnwell Hipp

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

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

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

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

Theses/Dissertations from 2012

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

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Mathematical Modeling and Computational Studies for Cell Signaling, Kanadpriya Basu

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

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

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

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A Fast Preconditioner For Helmholtz Equation, XIAODI DENG

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Spectra of Hypergraphs, Aaron Michael Dutle

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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

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

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Phylogenetic Tree Inferences Using Quartet Splits, Kevin Hathcock

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Enumeration Results On Leaf Labeled Trees, Virginia Perkins Johnson

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An Overview of the Constructive Local Lemma, William Kay

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Fractional Chromatic Numbers and Spectra of Graphs, Xing Peng

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

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

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

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Fibonacci Sets In Discrepancy Theory and Numerical Integration, Rui Yu

Theses/Dissertations from 2011

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D-Spaces and L-Special Trees, Heather Gamel

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

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

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

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

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Greedy Algorithms and Incoherent Systems, Jessica Lee Nelson

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

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

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Greedy Algorithms In Approximation Theory and Compressed Sensing, Mingrui Yang

Theses/Dissertations from 2010

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

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

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

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

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

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On Gorenstein Rings and G-Dimension, Ada Michelle Park

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

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

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Genome Rearrangement, Randic Index and Routing Number, Yiting Yang

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Additive Lebesgue-Type Inequalities for Greedy Approximation, Pavel Zheltov

Theses/Dissertations from 2009

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Sparse Approximation In Banach Spaces, Daniel Savu

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

 

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