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Dissertations from 2014

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Discrete Parity-Time Symmetric Nonlinear Schrodinger Lattices, Kai Li

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

Dissertations from 2013

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

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

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Open Books on Contact Three Orbifolds, Daniel Herr

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Properties of Singular Schubert Varieties, Jennifer Koonz

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

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Martingale Central Limit Theorem and Nonuniformly Hyperbolic Systems, Luke Mohr

Dissertations from 2012

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Local Torsion on Abelian Surfaces, Adam Gamzon

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

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

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Improved computational methods for Bayesian tree models, Yue Zhao

Submissions from 2011

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

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

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

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Knot Contact Homology and Open Strings, Jason Frederick McGibbon

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

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

Dissertations from 2010

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Geometry of Satake and Toroidal Compactifications, Patrick Michael Boland

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Strong wave interactions, exact solutions and singularity formations for the compressible Euler equations, Geng Chen

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

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

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

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

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

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

Submissions from 2009

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

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

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

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

Submissions from 2008

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Coarse -graining dynamics of interacting particle systems, Sasanka Are

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

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

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

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Generating equivalence classes of B -stable ideals, Molly Fenn

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Stability of geodesic wave maps, Viktor Grigoryan

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

Submissions from 2007

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On the index of cyclotomic units, Mairead K Greene

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

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

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Combinatorial aspects of toric varieties, Christine von Renesse

Submissions from 2006

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

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Stability manifolds of P1 and Calabi-Yau surfaces, So Okada

Submissions from 2005

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

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

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

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

Submissions from 2004

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

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Estimation of the stationary distribution of Markov chains, Gilda Garibotti

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Modelling tubuloglomerular feedback in coupled nephrons, Amanda L Hattaway

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

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

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

Submissions from 2003

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Symbolic model checking using algebraic geometry, Volker Ecke

Submissions from 2002

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The quaternionic Riemann -Roch theorem, Matthew Leonard Auth

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

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

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

Submissions from 2001

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Asymptotic Hodge theory and applications, Javier Alejandro Fernandez

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

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Order unit intervals in unigroups, Nathan Rodney Ritter

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

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

Submissions from 2000

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

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Constant mean curvature cylinders, Martin Leon Peter Kilian

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Modeling natural microimage statistics, Alexey Alexandrovich Koloydenko

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Toric geometry and mirror symmetry, Anvar Renatovich Mavlyutov

Submissions from 1999

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

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

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Isoperimetric inequalities and concave functions, Alane Susan Ferland

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

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Rational minimal surfaces, Catherine McCune

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Sign codes from number fields, Maura Ann Murray

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

Submissions from 1998

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The mathematics of superfluid films, Christine Petersen Black

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Characterizations of pyramids and their generalizations, Catherine Dornback Boucher

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

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

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

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Modular Lie algebras and their representations, Dmitriy Rumynin

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Nilpotent orbits of mixed Hodge structure, Christine Schwarz

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Decision tree algorithms for handwritten digit recognition, Kenneth Joseph Wilder

Submissions from 1997

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

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

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

Submissions from 1996

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

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Lie isomorphisms of prime rings, Philip Samuel Blau

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Degenerating variations of mixed Hodge structures, Eric C. Gaze

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Unitary representations of gauge groups, Ruth Stella Huerfano

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Modern applications of lattice theory, Scott R Sykes

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

Submissions from 1994

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

Dissertations from 1993

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

Submissions from 1989

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

Submissions from 1987

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COMPUTATIONAL METHODS FOR NONLINEAR ELLIPTIC EIGENVALUE PROBLEMS, SHIRLEY BARBARA POMERANZ