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Theses/Dissertations from 2016

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Dynamic Resonant Scattering of Near-Monochromatic Fields, Gayan Shanaka Abeynanda

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Global a priori Estimates and Sharp Existence Results for Quasilinear Equations on Nonsmooth Domains., Karthik Adimurthi

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A Conditioned Gaussian-Poisson Model for Default Phenomena, Tyler Brannan

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Cluster Algebras and Maximal Green Sequences for Closed Surfaces, Eric Bucher

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Excluding a Weakly 4-connected Minor, Kimberly Sevin D'souza

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Method of the Riemann-Hilbert Problem for the Solution of the Helmholtz Equation in a Semi-infinite Strip, Ashar Ghulam

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Twisted Reflection Positivity, Mostafa Ahmad Hayajneh

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Properties of Polynomial Identity Quantized Weyl Algebras, Jesse S. F. Levitt

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Derived Geometric Satake Equivalence, Springer Correspondence, and Small Representations, Jacob Paul Matherne

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Beyond the Tails of the Colored Jones Polynomial, Jun Peng

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On Properties of Matroid Connectivity, Simon Pfeil

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Evolution Semigroups for Well-Posed, Non-Autonomous Evolution Families, Austin Keith Scirratt

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Riemann-Hilbert Formalism in the Study of Crack Propagation in Domains with a Boundary, Aleksandr Smirnov

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Spectral Properties of Photonic Crystals: Bloch Waves and Band Gaps, Robert Paul Viator Jr

Theses/Dissertations from 2015

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Exploring Rational Numbers in Middle School, Robyn Jasmin Boudoin

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Shape Optimization for Drag Minimization Using the Navier-Stokes Equation, Chukwudi Paul Chukwudozie

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Partial Cosine-Funk Transforms at Poles of the Cosine-λ Transform on Grassmann Manifolds, Christopher Adam Cross

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Wavelets, Coorbit Theory, and Projective Representations, Amer Hasan Darweesh

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A Study of Mathematical Equivalence: The Importance of the Equal Sign, Christy De'sha Duncan

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Excluding Two Minors of the Petersen Graph, Adam Beau Ferguson

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Analysis of Nonlinear Dispersive Model Equations, Jacob Grey

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Knots, Skein Theory and q-Series, Mustafa Hajij

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Left-orderability, Cyclic Branched Covers and Representations of the Knot Group, Ying Hu

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Well-Quasi-Ordering by the Induced-Minor Relation, Chanun Lewchalermvongs

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Topological Dynamics On Compact Phase Spaces, Lieth Abdalateef Majed

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Increasing Student Engagement in the Secondary Math Classroom, Chantell Holloway Walker

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A New Method In Distribution Theory With A Non-Smooth Framework, Yunyun Yang

Theses/Dissertations from 2014

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Obstructions to Embedding Genus-1 Tangles in Links, Susan Marie Abernathy

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Reformulations for control systems and optimization problems with impulses, Jacob Blanton

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Effects of Focused Instruction Process (FIP)on Student End-Of-Course Test (Predicting End-Of-Course Test Using Teacher-Made Test), Roland Damasco Dante

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Conical Representations for Direct Limits of Riemannian Symmetric Spaces., Matthew Glenn Dawson

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On the infinitesimal theory of Chow groups, Benjamin F. Dribus

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Constructive aspects of Kochen's theorem on p-adic closures, Evan Michael Eakins

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Developing Auxiliary Resource Materials to Support the EngageNY Geometry Curriculum, Joanne Griffin

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Coloring Graphs Drawn with Crossings, Daniel Allen Guillot

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On Matroid and Polymatroid Connectivity, Dennis Wayne Hall II

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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/Dissertations 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

Theses/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

Theses/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

Theses/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