#### Dissertations from 2018

On the Growth of Sobolev Norms for the Nonlinear Schrödinger Equation on Tori and Boundary Unique Continuation for Elliptic PDE, Michael Boratko, Mathematics

VARIATIONAL APPROXIMATIONS FOR DENSITY DECONVOLUTION, Yue Chang, Mathematics

A relation between Mirkovic-Vilonen cycles and modules over preprojective algebra of Dynkin quiver of type ADE, Zhijie Dong, Mathematics

Asymptotic behavior of the Random Logistic Model and of parallel Bayesian logspline density estimators, Konstandinos Kotsiopoulos, Mathematics

Framed sheaves on a quadric surface, Nguyen Thuc Huy Le, Mathematics

Reduced Models of Point Vortex Systems in Quasigeostrophic Fluid Dynamics, Jonathan Maack, Mathematics

QUANTILE REGRESSION FOR SURVIVAL DATA WITH DELAYED ENTRY, Boqin Sun, Mathematics

WELL-POSEDNESS FOR THE CUBIC NONLINEAR SCHRÖDINGER EQUATIONS ON TORI, Haitian Yue, Mathematics

Global well-posedness and scattering for the defocusing quintic nonlinear Schrödinger equation in two dimensions, Xueying Yu, Mathematics

#### Dissertations from 2017

Inference from network data in hard-to-reach populations, Isabelle Beaudry, Mathematics

Coverings of Graphs and Tiered Trees, Sam Glennon, Mathematics

Information Metrics for Predictive Modeling and Machine Learning, Kostantinos Gourgoulias, Mathematics

Equations For Nilpotent Varieties and Their Intersections With Slodowy Slices, Benjamin Johnson, Mathematics

A Seifert-van Kampen Theorem for Legendrian Submanifolds and Exact Lagrangian Cobordisms, Mark Lowell, Mathematics

Dynamical Systems and Zeta Functions of Function Fields, Daniel Nichols, Mathematics

A CATEGORICAL FORMULATION OF ALGEBRAIC GEOMETRY, Bradley Willocks, Mathematics

statistical methods on risk management of extreme events, Zijing Zhang, Mathematics

#### Dissertations from 2016

Algebraicity of rational Hodge isometries of K3 surfaces, Nikolay Buskin, Mathematics

Modeling, Analysis and Numerical Simulations in Mathematical Biology of Traveling Waves, Turing Instability and Tumor Dynamics, Mei Duanmu, Mathematics

Equivariant Intersection Cohomology of BXB Orbit Closures in the Wonderful Compactification of a Group, Stephen Oloo, Mathematics

Skein Theory and Algebraic Geometry for the Two-Variable Kauffman Invariant of Links, Thomas Shelly, Mathematics

Spherical Tropicalization, Anastasios Vogiannou, Mathematics

Topology of the Affine Springer Fiber in Type A, Tobias Wilson, Mathematics

Studies on Lattice Systems Motivated by PT-Symmetry and Granular Crystals, Haitao Xu, Mathematics

#### Dissertations from 2015

Combinatorics of Equivariant Cohomology: Flags and Regular Nilpotent Hessenberg Varieties, Elizabeth J. Drellich, Mathematics

Obstruction criteria for modular deformation problems, Jeffrey Hatley Jr, Mathematics

Physical Activity Classification with Conditional Random Fields, Evan L. Ray, Mathematics

Variable selection in single index varying coefficient models with LASSO, Peng Wang, Mathematics

#### Dissertations from 2014

GALOIS THEORY OF ITERATED MORPHISMS ON REDUCIBLE ELLIPTIC CURVES AND ABELIAN SURFACES WITH REAL MULTIPLICATION, Domenico Aiello, Mathematics

Isoperimetric inequality and area growth of surfaces with bounded mean curvature, Dechang Chen, Mathematics

Prime Decomposition in Iterated Towers and Discriminant Formulae, Thomas Alden Gassert, Mathematics

Discrete Parity-Time Symmetric Nonlinear Schrodinger Lattices, Kai Li, Mathematics

Boundary Divisors in the Moduli Space of Stable Quintic Surfaces, Julie Rana, Mathematics

Dark-bright solitons and vortices in Bose-Einstein condensates, Dong Yan, Mathematics

#### Dissertations from 2013

Twisted Weyl Group Multiple Dirichlet Series Over the Rational Function Field, Holly Ann Friedlander, Mathematics

Data Combination from Multiple Sources Under Measurement Error, Hugo Gasca-Aragon, Mathematics

Open Books on Contact Three Orbifolds, Daniel Herr, Mathematics

Properties of Singular Schubert Varieties, Jennifer Koonz, Mathematics

Conditional Gaussian Fluctuations and Refined Asymptotics of the Spin In the Phase-Coexistence Region, Jingran Li, Mathematics

Martingale Central Limit Theorem and Nonuniformly Hyperbolic Systems, Luke Mohr, Mathematics

#### Dissertations from 2012

Local Torsion on Abelian Surfaces, Adam Gamzon, Mathematics

On models of short pulse type in continuous media, Yannan Shen

New Bilinear Estimates for Quadratic-Derivative Nonlinear Wave Equations in 2+1 Dimensions, Allison J. Tanguay, Mathematics

Improved computational methods for Bayesian tree models, Yue Zhao

#### Dissertations from 2011

Spectral methods for higher genus constant mean curvature surfaces, Aaron Gerding

A Mathematical Growth Model of the Viral Population in Early HIV-1 Infections, Elena Edi Giorgi, Mathematics

Spatial Evolutionary Game Theory: Deterministic Approximations, Decompositions, and Hierarchical Multi-scale Models, Sung-Ha Hwang, Mathematics

Knot Contact Homology and Open Strings, Jason Frederick McGibbon, Mathematics

Statistical Methods for Nonlinear Dynamic Models with Measurement Error Using the Ricker Model, David Joseph Resendes, Mathematics

Double-well potentials in Bose-Einstein condensates, Chenyu Wang

#### Dissertations from 2010

Geometry of Satake and Toroidal Compactifications, Patrick Michael Boland, Mathematics

Generalized EMP and Nonlinear Schrodinger-type Reformulations of Some Scaler Field Cosmological Models, Jennie D'Ambroise, Mathematics

A Hierarchical Spherical Radial Quadrature Algorithm for Multilevel GLMMS, GSMMS, and Gene Pathway Analysis, Jacob A. Gagnon, Mathematics

Existence, stability and dynamics of solitary waves in nonlinear Schrodinger models with periodic potentials, Kody John Hoffman Law

Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials, Kody John Hoffman Law, Mathematics

Geometric and Combinatorial Aspects of 1-Skeleta, Chris Ray McDaniel, Mathematics

On the Frequency of Finitely Anomalous Elliptic Curves, Penny Catherine Ridgdill, Mathematics

#### Dissertations from 2009

Asymptotically good towers of global function fields and bounds for the Ihara function, Laura Hall-Seelig

Class Numbers of Ray Class Fields of Imaginary Quadratic Fields, Omer Kucuksakalli, Mathematics

On the Discrete Differential Geometry of Surfaces in S4, George Shapiro, Mathematics

Correction Methods, Approximate Biases, and Inference for Misclassified Data, Meng-Shiou Shieh, Mathematics

#### Dissertations from 2008

Coarse -graining dynamics of interacting particle systems, Sasanka Are

Solutions of the dilaton field equations with applications to the soliton-black hole correspondence in generalised JT gravity, Shabnam Beheshti

Properties of the Gauss -Green form on the moduli space of unduloids, Eli Damon

Large deviations of observables in classical and quantum lattice spin systems, Michael Anthony Diehl

Generating equivalence classes of B -stable ideals, Molly Fenn

Stability of geodesic wave maps, Viktor Grigoryan

Dirac maps and generalized complex geometry on homogeneous spaces, Brett Milburn

#### Dissertations from 2007

On the index of cyclotomic units, Mairead K Greene

Some applications of computational mathematics: Tumor angiogenesis & Bose-Einstein condensates, Gregory J Herring

Well -posedness theory of a one parameter family of coupled KdV-type systems and their invariant Gibbs measures, Choonghong (Tadahiro) Oh

Combinatorial aspects of toric varieties, Christine von Renesse

#### Dissertations from 2006

Minimax variational principle for the rotating shallow water equations: First order Rossby number effects in geophysical flows, Visweswaran Nageswaran

#### Dissertations from 2005

Ensemble equivalence and phase transitions for general models in statistical mechanics and for the Curie -Weiss -Potts model, Marius F Costeniuc

Local-global properties of torsion points on three-dimensional abelian varieties, John Cullinan

Toric ideals and discriminants in codimensions greater than two, Raymond P Curran

Mathematical strategies for the coarse -graining of interacting particle systems, Dimitrios K Tsagkarogiannis

#### Dissertations from 2004

A numerical exploration of the statistical behavior of the discretized nonlinear Schrodinger equation, Adam Eisner

Estimation of the stationary distribution of Markov chains, Gilda Garibotti

Modelling tubuloglomerular feedback in coupled nephrons, Amanda L Hattaway

Study of equilibrium macrostates for two models in statistical mechanics, Peter T Otto

Modulational instabilities of perturbed nonlinear Schrodinger-type equations, Zoi Rapti

Global well posedness for some dispersive partial differential equations, Nikolaos I Tzirakis

#### Dissertations from 2002

The quaternionic Riemann -Roch theorem, Matthew Leonard Auth

Stability of traveling waves for Hamilton -Jacobi equations and mesoscopic modeling for diffusion dynamics, Zhixiong Chen

Construction, transformation, and visualization of Willmore surfaces, Ulrich Heller

Undulating coherent structures in two-dimensional turbulence: A quasi -equilibrium approach, Zhi Liang

#### Dissertations from 2001

Asymptotic Hodge theory and applications, Javier Alejandro Fernandez

Large deviation principles and complete equivalence and nonequivalence results for microcanonical and canonical ensembles with an application to geophysics, Kyle Douglas Haven

Order unit intervals in unigroups, Nathan Rodney Ritter

Signal formulation, segmentation, and lesion volume estimation in magnetic resonance images, Benjamin Reece Stein

Numerical methods for Rayleigh -Benard convection inside a Hele -Shaw cell, Idris Sadulla Stovall

#### Dissertations from 2000

Multi-scale analysis for microscopic models in materials science and cell biology, Alvin Thong-Juak Kho

Constant mean curvature cylinders, Martin Leon Peter Kilian

Modeling natural microimage statistics, Alexey Alexandrovich Koloydenko

Toric geometry and mirror symmetry, Anvar Renatovich Mavlyutov

#### Dissertations from 1999

Stochastic orders and dependence properties of concomitants of order statistics, Todd David Blessinger