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Dissertations from 2014

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The Gaussian Radon Transform for Banach Spaces, Irina Holmes

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Exponentially Convergent Generalized Finite Element Method for Multi-scale Problems, Xu Huang

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Problem Solving Strategies and Metacognitive Skills for Gifted Students in Middle School, Lorena Aguelo Java

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Local Conjugations of Groups and Applications to Number Fields, Bir B. Kafle

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Invariants of Legendrian products, Peter Lambert-Cole

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Explicit Equations of Non-Hyperelliptic Genus 3 Curves with Real Multiplication by Q(ζ7+ζ7-1), Dun Liang

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Combinatorial minimal free resolutions of ideals with monomial and binomial generators, Trevor McGuire

Development of a Work-controlled Algorithm for the Variational Approach to Fracture Mechanics and Its Application to Sandstone Burst Experiments, Ataollah Mesgarnejad

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Extremal Problems in Matroid Connectivity, John Tyler Moss

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Damage Evolution in Pressurized Domain: A Gradient Based Variational Approach, Navid Mozaffari

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Ito formula and Girsanov theorem on a new Ito integral, Yun Peng

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Selected Problems on Matroid Minors, Jesse Taylor

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Robust Preconditioners for the High-Contrast Elliptic Partial Differential Equations, Zuhal Unlu

Theses from 2013

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Uncertainty quantification of film cooling effectiveness in gas turbines, Hessam Babaee

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Skein theory and topological quantum field theory, Xuanting Cai

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A characterization of almost all minimal not nearly planar graphs, Kwang Ju Choi

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The Ring Theory and the Representation Theory of Quantum Schubert Cells, Joel Benjamin Geiger

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Refining the characterization of projective graphs, Perry K. Iverson

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A semigroup/Laplace transform approach to approximating flows, Ladorian Nichele Latin

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Multiplicity formulas for perverse coherent sheaves on the nilpotent cone, Myron Minn-Thu-Aye

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Application of Helmholtz/Hodge Decomposition to Finite Element Methods for Two-Dimensional Maxwell's Equations, Zhe Nan

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Mixed categories, formality for the nilpotent cone, and a derived Springer correspondence, Laura Joy Rider

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Large deviations for stochastic Navier-Stokes equations with nonlinear viscosities, Ming Tao

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Statistical classification problems in assessment of teachers, Xuan Wang

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Extra structures on three-dimensional cobordisms, Xuanye Wang

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Adaptive Stochastic Conjugate Gradient optimization for temporal medical image registration, Huanhuan Xu

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Higher algebraic K-theory and tangent spaces to Chow groups, Sen Yang

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Finite Element Methods for Fourth Order Variational Inequalities, Yi Zhang

Dissertations from 2012

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The head and tail conjecture for alternating knots, Cody Armond

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A numerical investigation of Apéry-like recursions and related Picard-Fuchs equations, Maiia J. Bakhova

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Resonance and double negative behavior in metamaterials, Yue Chen

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Some tracking problems for aerospace models with input constraints, Aleksandra Gruszka

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C0 Interior Penalty Methods for Cahn-Hilliard Equations, Shiyuan Gu

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Paley-Wiener Theorem for Line Bundles over Compact Symmetric Spaces, Vivian Mankau Ho

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Subgradient formulas for optimal control problems with constant dynamics, Lingyan Huang

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On the Witt groups of schemes, Jeremy Allen Jacobson

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Hypercube diagrams for knots, links, and knotted tori, Ben McCarty

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Graham's variety and perverse sheaves on the nilpotent cone, Amber Russell

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Mathematical Models for Interest Rate Dynamics, Xiaoxue Shan

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The new stochastic integral and anticipating stochastic differential equations, Benedykt Szozda

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Operational methods for evolution equations, Lee Gregory Windsperger

Dissertations from 2011

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On Greenberg's question: an algebraic and computational approach, David H. Chapman

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Capturing elements in matroid minors, Deborah Chun

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Paley-Wiener theorems with respect to the spectral parameter, Susanna Dann

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Excluded-minor characterization of apex-outerplanar graphs, Stanislaw Dziobiak

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Symmetric spaces, Se-Jong Kim

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A C0 Interior Penalty Method for the von Kármán Equations, Armin Karl Reiser

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A new theory of stochastic integration, Anuwat Sae-Tang

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Improving math instruction in schools that serve the poor, John, L. Jr. Sims

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Guided modes and resonant transmission in periodic structures, Hairui Tu

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Twisted Frobenius-Schur indicators for Hopf algebras, Maria Vega

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Some classes of graphs that are nearly cycle-free, Lisa Warshauer

Dissertations from 2010

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Hamilton-Jacobi theory for optimal control problems on stratified domains, Richard Charles Barnard

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Subgroups of the Torelli group, Leah R. Childers

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Dimer models for knot polynomials, Moshe Cohen

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Multigrid methods for Maxwell's equations, Jintao Cui

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Perverse poisson sheaves on the nilpotent cone, Jared Lee Culbertson

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Power series expansions for waves in high-contrast plasmonic crystals, Santiago Prado Parentes Fortes

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Koszul duality for multigraded algebras, Fareed Hawwa

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Homogenization of nonlinear partial differential equations, Silvia Jiménez

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Optimal control and nonlinear programming, Qingxia Li

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Correlation of defaults in complex portfolios using copula techniques, Adam Lodygowski

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A characterization of near outer-planar graphs, Tanya Allen Lueder

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Primes of the form X² + nY² in function fields, Piotr Maciak

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Fraction competency and algebra success, Coretta Thomas

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Orthogonal Grassmannians and hermitian K-theory in A¹-homotopy theory of schemes, Girja Shanker Tripathi

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Copula and default correlation, Dongxiang Yan

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Method of Riemann surfaces in modelling of cavitating flow, Anna Zemlyanova

Dissertations from 2009

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The structure of 4-separations in 4-connected matroids, Jeremy M. Aikin

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Impulsive control systems, Wei Cai

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Algorithms related to subgroups of the modular group, Constantin Cristian Caranica

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Function Spaces, Wavelets and Representation Theory, Jens Gerlach Christensen

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Unavoidable minors in graphs and matroids, Carolyn Barlow Chun

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The extended picture group, with applications to line arrangement complements, Charles Richard Egedy

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White noise methods for anticipating stochastic differential equations, Julius Esunge

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Stochastic Navier-Stokes equations with fractional Brownian motions, Liqun Fang

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A regularization technique in dynamic optimization, Alvaro Guevara

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Homological width and Turaev genus, Adam Lowrance

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Some results on cubic graphs, Evan Morgan

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A discrete model of guided modes and anomalous scattering in periodic structures, Natalia Grigoryevna Ptitsyna

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Local behavior of distributions and applications, Jasson Vindas

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The Segal-Bargmann transform on inductive limits of compact symmetric spaces, Keng Wiboonton

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Convolution semigroups, Kevin W. Zito

Dissertations from 2008

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Multiscale analysis of heterogeneous media for local and nonlocal continuum theories, Bacim Alali

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Rational approximation schemes for solutions of abstract Cauchy problems and evolution equations, Patricio Gabriel Jara

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Differential geometry in cartesian closed categories of smooth spaces, Martin Laubinger

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Stochastic and copula models for credit derivatives, Chao Meng

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Laplace Transform Inversion and Time-Discretization Methods for Evolution Equations, Koray Ozer

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Trace Forms of Abelian Extensions of Number Fields, Karli Smith

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Fast Marching Methods - parallel implementation and analysis, Maria Cristina Tugurlan

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Surgery description of colored knots, Steven Daniel Wallace

Dissertations from 2007

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Comparison of KP and BBM-KP models, Gideon Pyelshak Daspan

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Sign Ambiguities of Gaussian Sums, Heon Kim

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Subrepresentation semirings and an analogue of 6j-symbols, Nam Hee Kwon

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Multiplicative renormalization method for orthogonal polynomials, Suat Namli

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Backward stochastic Navier-Stokes equations in two dimensions, Hong Yin

Dissertations from 2006

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Filippov's operator and discontinuous differential equations, Khalid Abdulaziz Alshammari

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Integral cohomology of the Siegel modular variety of degree two and level three, Mustafa Arslan

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Circuits and structure in matroids and graphs, Brian Daniel Beavers

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Extension of Shor's period-finding algorithm to infinite dimensional Hilbert spaces, Jeremy James Becnel