#### Dissertations from 2018

On Structures of Large Rooted Graphs, Shilin Wang

The Graphs and Matroids Whose Only Odd Circuits Are Small, Kristen Nicole Wetzler

#### Dissertations from 2017

On Braids, Branched Covers and Transverse Invariants, Jose Hector Ceniceros

Characterizations of Some Classes of Graphs That Are Nearly Series-Parallel, Victoria Fontaine

Asymptotic Formulae for Restricted Unimodal Sequences, Richard Alexander Frnka

On the Skein Theory of 0-framed Surgery Along the Trefoil Knot, Andrew Robert Holmes

Manifestations of Symmetry in Polynomial Link Invariants, Kyle Istvan

Moduli Spaces of Flat GSp-Bundles, Neal David Livesay

Electromagnetic Resonant Scattering in Layered Media with Fabrication Errors, Emily Anne McHenry

Extraction of Displacement Fields in Heterogeneous Media Using Optimal Local Basis Functions, Paul Derek Sinz

Reduced Order Models for Beam-Wave Interaction in High Power Microwave Sources, Lokendra Singh Thakur

#### Dissertations from 2016

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

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

Option Volatility & Arbitrage Opportunities, Mikael Boffetti

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

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

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

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

Twisted Reflection Positivity, Mostafa Ahmad Hayajneh

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

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

Fractal Shapes Generated by Iterated Function Systems, Mary Catherine McKinley

Beyond the Tails of the Colored Jones Polynomial, Jun Peng

On Properties of Matroid Connectivity, Simon Pfeil

Towards Theory and Applications of Generalized Categories to Areas of Type Theory and Categorical Logic, Lucius Traylor Schoenbaum

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

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

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

#### Theses from 2015

Exploring Rational Numbers in Middle School, Robyn Jasmin Boudoin

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

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

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

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

Excluding Two Minors of the Petersen Graph, Adam Beau Ferguson

Analysis of Nonlinear Dispersive Model Equations, Jacob Grey

Knots, Skein Theory and q-Series, Mustafa Hajij

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

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

Topological Dynamics On Compact Phase Spaces, Lieth Abdalateef Majed

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

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

#### Dissertations from 2014

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

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

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

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

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

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

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

Coloring Graphs Drawn with Crossings, Daniel Allen Guillot

On Matroid and Polymatroid Connectivity, Dennis Wayne Hall II

The Gaussian Radon Transform for Banach Spaces, Irina Holmes

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

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

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

Invariants of Legendrian products, Peter Lambert-Cole

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

Extremal Problems in Matroid Connectivity, John Tyler Moss

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

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

Selected Problems on Matroid Minors, Jesse Taylor

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

#### Theses from 2013

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

Skein theory and topological quantum field theory, Xuanting Cai

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

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

Refining the characterization of projective graphs, Perry K. Iverson

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

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

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

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

Statistical classification problems in assessment of teachers, Xuan Wang

Extra structures on three-dimensional cobordisms, Xuanye Wang

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

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

Finite Element Methods for Fourth Order Variational Inequalities, Yi Zhang

#### Dissertations from 2012

The head and tail conjecture for alternating knots, Cody Armond

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

Resonance and double negative behavior in metamaterials, Yue Chen

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

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

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

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

On the Witt groups of schemes, Jeremy Allen Jacobson

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

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

Mathematical Models for Interest Rate Dynamics, Xiaoxue Shan

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

Operational methods for evolution equations, Lee Gregory Windsperger

#### Dissertations from 2011

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

Capturing elements in matroid minors, Deborah Chun

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

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

Symmetric spaces, Se-Jong Kim

A C^{0} Interior Penalty Method for the von Kármán Equations, Armin Karl Reiser

A new theory of stochastic integration, Anuwat Sae-Tang

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

Guided modes and resonant transmission in periodic structures, Hairui Tu