#### Dissertations from 2015

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

#### Dissertations from 2014

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

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

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

Discrete Parity-Time Symmetric Nonlinear Schrodinger Lattices, Kai Li

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

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

#### Dissertations from 2013

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

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

Open Books on Contact Three Orbifolds, Daniel Herr

Properties of Singular Schubert Varieties, Jennifer Koonz

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

Martingale Central Limit Theorem and Nonuniformly Hyperbolic Systems, Luke Mohr

#### Dissertations from 2012

Local Torsion on Abelian Surfaces, Adam Gamzon

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

Improved computational methods for Bayesian tree models, Yue Zhao

#### Submissions 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

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

Knot Contact Homology and Open Strings, Jason Frederick McGibbon

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

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

#### Dissertations from 2010

Geometry of Satake and Toroidal Compactifications, Patrick Michael Boland

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

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

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

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

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

#### Submissions 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

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

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

#### Submissions 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

#### Submissions 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

#### Submissions from 2006

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

#### Submissions 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

#### Submissions 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

#### Submissions 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

#### Submissions 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

#### Submissions 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

#### Submissions from 1999

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

Evans function analysis of the stability of periodic travelling wave solutions associated with the Fitzhugh -Nagumo system, Edgardo Gabriel Eszter

Isoperimetric inequalities and concave functions, Alane Susan Ferland

Classification by active testing with applications to imaging and change detection, Chunming Li

Rational minimal surfaces, Catherine McCune

Sign codes from number fields, Maura Ann Murray

The geometry of the Deligne -Hodge decomposition, Gregory James Pearlstein

#### Submissions from 1998

The mathematics of superfluid films, Christine Petersen Black

Characterizations of pyramids and their generalizations, Catherine Dornback Boucher

Large deviations for doubly indexed stochastic processes with applications to statistical mechanics, Christopher Lawrence Boucher

Independence in the ordinal model and on closed set systems, Richard Alan Cramer-Benjamin

Classification of stable minimal surfaces bounded by Jordan curves in close planes in Euclidean three -space, Rosanna Galotta

Modular Lie algebras and their representations, Dmitriy Rumynin

Nilpotent orbits of mixed Hodge structure, Christine Schwarz

Decision tree algorithms for handwritten digit recognition, Kenneth Joseph Wilder

#### Submissions from 1997

Computations of equilibrium states in two-dimensional turbulence with conserved vorticity moments, Joseph L Heisler

Galerkin - finite element method for elastic wave equations with interface, Lu Ji

Desingularizing the intersection between a catenoid and a plane, Haiping Luo

#### Submissions from 1996

Minimal and constant mean curvature surfaces in various three -manifolds, Jan-Olof Jorgen Berglund

Lie isomorphisms of prime rings, Philip Samuel Blau

Degenerating variations of mixed Hodge structures, Eric C. Gaze

Unitary representations of gauge groups, Ruth Stella Huerfano

Modern applications of lattice theory, Scott R Sykes

Dedekind eta function, Kronecker limit formula and Dedekind sum for the Hecke group, Irina Natcheva Vassileva

#### Submissions from 1994

Stability of travelling waves for a three -component reaction -diffusion system, Patrick David Miller

#### Dissertations from 1993

Bayesian Estimation of Surface Information from Radar Images, Keith David Hartt

#### Submissions from 1989

Exponential chains and generalized inverses: New approaches to the approximate and exact solution of Markov chain problems, William Randolph Rising

#### Submissions from 1987

COMPUTATIONAL METHODS FOR NONLINEAR ELLIPTIC EIGENVALUE PROBLEMS, SHIRLEY BARBARA POMERANZ