Past Dissertations
The following list of dissertation titles suggests the range of research interests pursued by graduate students in the Department of Mathematical Sciences.
2006
Kelley Burgin
Hamilton Cycles in Random Graphs
Milica Cudina
Asymptotically Optimal Control for Some Time-Varying Stochastic Networks
Abraham Flaxman
Average-Case Analysis for Combinatorial Problems
Sean Hilden
Allocation of Risk Capital via Intra-Firm Trading
Anatoli Karolik
Modeling Correlated Credit Rating Migrations
David Kravitz
Satisfiability and the Giant Component in Online Variations of the Classical Random Models
Venkatesh Natarajan
Independent Sets in Powers of Odd Cycles and the Global Min-Cut Problem
Juan Vera
Variations on the Preferential Attachment Graph
2005
Konstantin Andreev
Approximation Algorithms for Network Design and Graph Partitioning Problems
Margarida Baia
Variational Multiscale Problems and Applications to Thin Films
Stephen D.Silva
Time Consistent and Currency Invariant Risk Adjusted Valuations
Caner Kazanci
Statistical Analysis and Reverse Engineering of Large Biochemical Networks
Stephen Pankavich
The Vlasov-Poisson System with Infinite Mass and Energy
Traian Pirvu
Maximizing Portfolio Growth Rate under Risk Constraints
Cristina Popovici
Coupled Singular Perturbations and Homogenization in Phase Transitions
Adam Speight
Multigrid Methods for Calibrating Financial Models
Adrian Tudorascu
Optimal Mass Transportation Methods for Gradient Flows in the Weak Topology
Aris Winger
On Pattern Formation in a One Dimensional Viscoelastic System with Numerical Computation
2004
Marian Bocea
A Young Measure Approach to Nonlinear Membrane Theory
Chad Brown
Set Comprehension in Church's Type Theory
Karel Janecek
Futures Trading Model with Transaction Costs
Paul Komarek
Logistic Regression for Data Mining and High-Dimensional Classification
Alexei Kolesnikov
Generalized Amalgamation in Simple Theories and Characterization of Dependence in Non-Elementary Classes
Kerry Ojakian
Combinatorics in Bounded Arithmetic
Luca Petrelli
Variational Principle for General Diffusion Problems
Petronela Radu
On Semilinear Wave Equations
Juan Rivera
Portfolio Choice Under Risk Limits: A Coherent Approach
Ksenija Simic
Aspects of Ergodic Theory in Subsystems of Second-order Arithmetic
Mihai Sirbu
A Two-Person Game for Pricing Convertible Bonds
Kathryn Trapp
A Class of Compatible Discretizations with Applications to Div-Curl Systems
Mingxin Xu
Minimizing Shortfall Risk Using Duality Approach - An Application to Partial Hedging in Incomplete Markets
2003
Geoffrey Atkinson
b-independent Sets in Random Graphs
John Krueger
Saturated Ideals
Steven Pav
Delaunay Refinement Algorithms
Pedro Santos
On Some Constrained Variational Problems
Peng Yu
Bridging Scales in Fluids and Materials Science
2002
Daniil Bunimovich
Modelling and Pricing of Collaterilized Debt Obligations
Monica VanDieren
Categoricity and Stability in Abstract Elementary Classes
Jianping Liu
Molecular Models for Fluid Mixtures and Their Large Scale Dynamics
Ojas Parekh
Polyhedral Techniques for Graphic Covering Problems
2001
Mikil Foss
On Lavertiev's Phenomenon
Bjarni Halldorsson
Algorithms for Biological Sequence Problems
2000
Yuri Greenfield
Hedging of the Credit Risk Embedded in Derivative Transactions
Diego Jara
An Extension of Levy's Theorem and Applications to Financial Models Based on Futures Prices
Aggelos Tsikas
Solid State Mass Diffusion with Crystalline Interfacial Energy
Feyzullah Egriboyun
Optimal Investment and Consumption with Reallocation and Drawdown Constraints
Goran Konjevod
Generalizing Set Cover: Approximation Algorithms for Group Steiner Trees and Related Problems
Jan Vecer
Options on a Traded Account
1999
Matthew Bishop
Mating Search Without Path Enumeration
Jeffery Boats
Linear Algebra Textbook Implementing Instructional Technology
Lei Zhao
Disjoint Paths in Random Graphs
Byungduck Chough
Numerical Techniques for Macroscopic Dynamics of Particle Systems: Dilute Gases
Roberto Virga
Higher-Order Rewriting with Dependent Types
1998
Uwe Wystup
Valuation of Exotic Options under Shortselling Constraints
Neil Simonetti
Applications of a Dynamic Programming Approach to the Traveling Salesman Problem
Dennis Wong
A Unifying Credit Model
Andrew Yershov
Numerical Methods for the Shallow Water Equations
Hongwei Xi
Dependent Types in Practical Programming
Olivier Lessmann
Dependence Relations in Nonelementary Classes
Andrew Yershov
Numerical Methods for the Shallow Water Equations
Hongwei Xi
Dependent Types in Practical programming
1997
Sergio Gutierrez
Laminations in Linearized Elasticity and a Lusin Type Theorem for Sobolev Spaces
Gregor Weiske
On Some Problems Related to Linear Elastiacity, Optimal Design and Homogenisation
George Christopher
Structure and Applications of totally Decomposable Metrics
Bogdan Doytchinov
Heavy Traffic Limits of Queues with Due Dates
Raul Kangro
Analysis of Artificial Boundary Conditions for Black-Scholes Equations
Urve Kangro
Spurious Fields in Computational Electromagnetics
Stephen Watson
Unique Global Solvability for Initial-boundary Value Problems in One-Dimensional Nonlinear Thermoviscoelasticity with Phase Transitions
Priyantha Perera
Liquid Diffusion Couple in a Microgravity Environment
1996
Christopher Larsen
Variational and Measure Theoretic Techniques for Material Equilibria
Hui Chen
On Some Problems of Hypergraphs
Da-qing Wang
Applications of the Covolume Method in Computational Electromagnetics
Han Wang
Numerical Solution of a Nonconves Optimization Problem Modeling Martensitic Microstructure
1995
Dmitry Golovaty
The Volume Preserving Motion by Mean Curvature as an Asymptotic Limit of Reaction-Diffusion Equations
Romaine Jayewardene
Relations and Functional Relations in Categories with Examples from Fuzzy Set Theory
Jonathan Aronson
Analysis of a Randomized Greedy Matching Algorithm
Michel Schellekens
The Smyth Completion: A Common Topological Foundation for Denotational Semantics and Complexity Analysis
Robert Carr
Polynomial Separation Procedures and Facet Determination for Inequalities of the Traveling Salesman Polytope
1994
Ana Barroso
Variational Methods for Phase Transitions
Dmitry Pugachevsky
A Stochastic Control Problem for Nemataic Liquid Crystals with Variable Degree of Orientation
Kristina Vuskovic
On Balanced Bipartite Graphs
Michael Molloy
Random Graphs with a Fixed Degree Sequence
W. Dow Rieder
An Optimal Algorithm for the Construction of Voronoi-Delaunay Mesh Systems in General Domains
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