Recent Graduates
### Past Dissertations

The following list of dissertation titles suggests the range of research interests pursued by graduate students in the Department of Mathematical Sciences.

### 2016

Zhe Cheng

*Endogenous Mortgage Current Coupons*

Advisor: Scott Robertson

Entry Position: Associate, Fixed Income Division, Morgan Stanley and Co., New York

Jacob Davis

*Universal Graphs at $\aleph_{\omega_1+1}$ and Set-theoretic Geology*

Advisor: James Cummings

Entry Position: Programmer, Search Dept., Google, Zurich, Switzerland

Tetsuya Ishikawa

*Optimal Investment and Pricing in Models Where the Underlying Asset May Default*

Advisor: Scott Robertson

Entry Position: Associate, Strats Dept., Morgan Stanley and Co., New York

Zilin Jiang

*Problems in Discrete Geometry and Extremal Combinatorics*

Advisor: Boris Bukh

Entry Position: Postdoctoral Research Fellow, Math Dept., Israel Institute of Technology

Jing Liu

*Numerical Approximation of Problems that Arise in Elasticity*

Advisor: Noel Walkington

Entry Position: Research Associate, Risk Management Dept., J.P. Morgan Chase & Co., New York

Ryan Murray

*Some Asymptotic Results for Phase Transition Models*

Advisor: Giovanni Leoni and Robert Pego

Entry Position: Research Assistant Professor, Math Dept., Penn State University, Pennsylvania

Daniel Rodriguez

*Models of R-Supercompactness*

Advisor: Ernest Schimmerling

Entry Position: Postdoctoral Associate, Math Sciences Dept., Carnegie Mellon

Tanawit Sae-Sue

*Radner Equilibrium in Infinite and Finite Time-Horizon Lévy Models*

Advisor: Kasper Larsen

Entry Position: Lecturer, Faculty of Commerce and Accountancy, Chulalongkorn University, Thailand

Kimberly Weston

*Market Stability in Non-equivalent Markets and the Martingale Property of the Dual Optimizer*

Advisor: Dmitry Kramkov

Entry Position: Postdoctoral Fellow, Math Dept., University of Texas at Austin

### 2015

Laura Bufford

*3D-2D Dimension Reduction of Homogenized Thin Films*

Advisor: Irene Fonseca

Entry Position: Software Developer, Epic Corp., Wisconsin

Nicolas Garcia Trillos

*Variational Limit of Graph Cuts on Point Clouds*

Advisor: Dejan Slepčev

Entry Position: Prager Assistant Prof., Applied Math Dept., Brown Univ.

William Gunther

*Some Results on Classical Semantics and Polymorphic Types*

Advisor: Richard Statman

Entry Position: Software Developer, Epic Corp., Wisconsin

Justin Hausauer

*Sparse Grid Combination Techniques for Solving High-Dimensional
Parabolic Equations*

with an Application to the LIBOR Market Model

Advisor: Roy Nicolaides

Entry Position: Quantitative Strategist, Kanerai Financial Services, New York

Brian Kell

*Decision Diagrams for Combinatorial Optimization and Satisfaction*

Advisor: Willem-Jan van Hoeve

Entry Position: Software Engineer, Google, Pittsburgh, PA

Marla Slusky

*Integrating Relaxations for Combinatorial Optimization*

Advisor: Willem-Jan van Hoeve

Entry Position: Scientist, Dynamic Science Lab, Infor Co., Cambridge, Mass.

Lijiang Wu

*Nonlocal Interaction Equations in Heterogeneous and Non-convex Environments*

Advisor: David Kinderlehrer and Dejan Slepčev

Entry Position: Associate, Research & Development, Goldman Sachs, New York

### 2014

Emily Allen

*Combinatorial Interpretations of Generalizations of Catalan
Numbers and Ballot Numbers*

Advisor: Irina Gheorghiciuc

Entry Position: Business Intelligence Developer, Epic Corp., Wisconsin

William Boney

*Advances in Classification Theory for Abstract Elementary Classes*

Advisor: Rami Grossberg

Entry Position: Benjamin Peirce and NSF Postdoctoral Fellow, Harvard University

Christopher Lambie-Hanson

*Covering Matrices, Squares, Scales, and Stationary Reflection*

Advisor: James Cummings

Entry Position: Postdoctoral Fellow, Einstein Inst. of Math, Hebrew Univ. of Jerusalem

Yuhui Ouyang

*Numerical Approximation of Valuation Equations Incorporating
Stochastic Volatility Models*

Advisor: Roy Nicolaides

Entry Position: Associate, Security Div., Goldman Sachs, New York

Robert Simione

*Properties of Minimizers of Nonlocal Interaction Energy*

Advisor: Dejan Slepčev

Entry Position: Head Machine Learning and Data, Waynaut Co., Italy

### 2013

Deepak Bal

*Colorings, Matchings and Packings in Random and Pseudo-Random Graphs*

Advisor: Alan Frieze

Entry Position: Postdoctoral Fellow, Math Dept., Ryerson Univ., Toronto, Canada

Patrick Bennett

*Dynamic Concentration in Some Discrete Random Processes*

Advisor: Thomas Bohman

Entry Position: Postdoctoral Fellow, Computer Science Dept., University of Toronto, Canada

Alexandra Klimova

*Numerical Algorithm for Options of Asian Type with Continuous Sampling*

Advisor: Roy Nicolaides

Entry Position: Associate, Bank of America, New York

Paul McKenney

*Forcing Axioms and the Rigidity of Corona Algebra*

Advisor: Ernest Schimmerling

Entry Position: Postdoctoral Fellow, Math Dept., Miami University, Ohio

Christopher Potter

*Kernel Selection for Convergence and Efficiency in Markov Chain Monte Carlo*

Advisor: Robert Swendsen

Entry Position: Systems Engineer, Information Systems, Northrop Grumman, Virginia

Jason Rute

*Topics in Algorithmic Randomness and Computable Analysis*

Advisor: Jeremy Avigad

Entry Position: Postdoctoral Fellow, Math Dept., Penn State Univ., University Park

Brendan Sullivan

*Textbook and Course Materials for 21-127 Concepts of Mathematics (Doctor of Arts)*

Advisor: Jack Schaeffer

Entry Position: Lecturer, Math Dept., Emmanuel College, Boston, MA

Charalampos Tsourakakis

*Mathematical and Algorithmic Analysis of Network and Biological Data*

Advisor: Alan Frieze

Entry Position: Postdoctoral Fellow, School of Science, Aalto University, Finland

Spencer Unger

*Some Results on the Tree Property*

Advisor: James Cummings

Entry Position: Assistant Adjunct Professor, Math Dept., Univ. California Los Angeles

### 2012

Ashwini Aroskar

*Limits, Regularity and Removal for Relational and Weighted Structures*

Advisor: James Cummings

Entry Position: Assistant Professor, Math Dept., Univ. of Michigan, Ann Arbor

Elena Cristina Canepa

*Numerical Simulations of Defaults in Large Banking Systems*

Advisor: Shlomo Ta'asan

Entry Position: University Assistant, Dept. of Math Methods and Models,
Univ. Politehnica of Bucharest

Oleksii Mostovyi

*Necessary and Sufficient Conditions in the Problem of Optimal Investment with Intermediate Consumption*

Advisor: Dmitry Kramkov

Entry Position: Postdoctoral Fellow, Math Dept., Univ. of Texas, Austin

Paolo Piovano

*Evolution and Regularity Results for Expitaxially Strained Thin Films and Material Voids*

Advisor: Irene Fonseca and Giovanni Leoni

Entry Position: Postdoctoral Fellow, Faculty of Mathematics, Univ. Vienna, Austria

### 2011

Rita Goncalves Ferreira

*Spectral and Homogenization Problems*

Advisor: Irene Fonseca and M. Luisa Mascarenas (Portugal)

Entry Position: Postdoctoral Fellow, Univ. Nova de Lisboa, Portugal

Michael Klipper

*Analysis for the Beginning Mathematician* (Doctor of Arts)

Advisor: John Mackey

Entry Position: Lecturer, Math Dept., Univ. Georgia, Athens

Peter Lumsdaine

*Higher Categories from Type Theories*

Advisor: Steve Awodey

Entry Position: Postdoctoral Fellow, Dalhousie University, Canada

Silviu Predoiu

*Optimal Execution in a General One-Sided Limit-Order Book and Endogeneous Dynamic Completeness of Financial Models*

Advisor: Dmitry Kramkov

Entry Position: Citigroup, New York

Reshma Ramadurai

*On Induced Vertex Folkman Numbers*

Advisor: Andrzej Dudek

Entry Position: Postdoctoral Fellow, Computer Science Dept., Masaryk Univ., Czech Republic

Pietro Siorpaes

*Marginal Prices, Optimal Investment and Sobolev Parametric Martingales*

Advisor: Dmitry Kramkov

Entry Position: Postdoctoral Fellow, Math Dept., Univ. Vienna, Austria

Daniel Spector

*Characterization of Sobolev and BV Spaces*

Advisor: Giovanni Leoni

Entry Position: Research Fellow, Math Dept., Zhejiang Univ., Hungszhou, China

Matthew Szudzik

*Some Applications of Recursive Functionals to the Foundations of Mathematics and Physics*

Advisor: Rick Statman

Entry Position: Assistant Teaching Prof., Carnegie Mellon Qatar Campus

Zelealem Yilma

*Results in Extremal Graph and Hypergraph Theory*

Advisor: Oleg Pikhurko

Entry Position: Postdoctoral Fellow, Univ. Paris, France

Hang Yu

*Horizon Dependence of Utility Optimizers in Incomplete Models*

Advisor: Kasper Larsen

Entry Position: Associate Vice-President, ETG Dept., Knight Capital Group, New Jersey

**2010**

Maxim Bichuch

*Asymptotic Analysis for Optimal Investment and Consumption with Transaction Costs with Two Futures Contracts*

Advisor: Steven Shreve

Entry Position: Postdoctoral Research Associate, Operations Research & Financial Eng. Dept., Princeton Univ., New Jersey

Brian Seguin

*Frame-Free Continuum Thermodynamics*

Advisor: Walter Noll

Entry Position: Postdoctoral Researcher, Math and Statistics Dept., McGill Univ., Canada

Christopher Wallace

*Mixed Integer Program Heuristics*

Advisor: Egon Balas

Entry Position: Assistant Prof., Computer and Information Sciences, East Tennessee State Univ.

Anne Yust

*Data Driven Modeling and Intervention Design in Large Biological Systems*

Advisor: Shlomo Ta’asan

Entry Position: Assistant Professor, Dept. of Mathematics, Birmingham Southern College, Alabama

**2009**

Pall Melsted

*Algorithms on Random Graphs*

Advisor: Alan Frieze

Entry Position: Programmer, Human Genetics, Univ. of Chicago, IL

Fritz Obermeyer

*Automated Equational Reasoning in Nondeterministic Lambda-Calculi Modulo Theories H-**

Advisor: Richard Statman

Entry Position: Research Analyst, Toyon Research Corp., California

David Offner

*Extremal Problems on the Hypercube*

Advisor: Oleg Pikhurko

Entry Position: Assistant Prof., Math Dept., Westminster College, PA

Alexander Rand

*Delaunay Refinement Algorithms for Numerical Methods*

Advisor: Noel Walkington

Entry Position: Postdoctoral Fellow, Inst. Computational Eng. & Sciences, Univ. Texas Austin

Karl Wimmer

*Fourier Methods and Combinatorics in Learning Theory*

Advisor: Ryan O’Donnell

Entry Position: Assistant Prof., Comp. Sci. & Statistics Dept., Duquesne University, PA

**2008**

Barbara Anthony

*Approximation Algorithms for Network Design with Uncertainty*

Advisor: Anupam Gupta

Entry Position: Assistant Prof., Computer Science Dept., Southwestern University, Texas

Danut Arama

*On a Variational Approach for Stokes Conjectures in Water Waves*

Advisor: Giovanni Leoni

Entry Position: Postdoctoral Fellow, Math & Statistics Dept., Loyola University, Illinois

Gerard Brunick

*A Weak Existence Result with Application to the Financial Engineer’s Calibration Problem*

Advisor: Steven Shreve

Entry Position: Lecturer, Math Dept., Univ. of Texas Austin

Prasad Chebolu

*Topics in Random Graphs*

Advisor: Alan Frieze

Entry Position: Research Associate, Computer Science Dept., Univ. of Liverpool, UK

David German

*Corrections to the Prices of Derivatives Due to Market Incompleteness and Price Impact*

Advisor: Dmitry Kramkov

Entry Position: Assistant Prof., Math Dept., Claremont McKenna College, California

Michael Picollelli

*Extremal Problems and Random Processes on Graphs*

Advisor: Thomas Bohman

Entry Position: Supplemental Faculty, Math Sciences Dept., Univ. of Delaware

Bernardo Sousa

*Variational Methods for Phase Transitions*

Advisors: Irene Fonseca and Giovanni Leoni

Entry Position: Postdoctoral Fellow, Math & Statistics Dept., McMaster Univ., Canada

Henry Towsner

*Some Results in Logic and Ergodic Theory*

Advisor: Jeremy Avigad

Entry Position: Postdoctoral Fellow, Math Sciences Research Inst., Berkeley, CA

Michael Young

*Triangle Problems in Extremal Graph Theory*

Advisors: James Cummings and John Mackey

Entry Position: Postdoctoral Fellow, Math & Statistics Dept., Smith College, Mass.

**2007**

Graca Carita

*Relaxation in SBV for Constrained-valued Fields*

Advisors: Irene Fonseca and Giovanni Leoni

Entry Position: Assistant Prof., University Evora, Portugal

Albert Cohen

*A Probabilistic Analysis of Two Dimensional Grain Growth*

Advisor: David Kinderlehrer

Entry Position: Postdoctoral Fellow, Math Dept., Michigan State Univ.

### 2006

Kelley Burgin

*Hamilton Cycles in Random Graphs*

Advisor: Alan Frieze

Entry Position: Applied Research Mathematician, Dept. of Defense, Maryland

Milica Cudina

*Asymptotically Optimal Control for Some Time-Varying Stochastic Networks*

Advisors: Steven Shreve and Kavita Ramanan

Entry Position: Lecturer, Math Dept., Univ. of Texas Austin

Abraham Flaxman

*Average-Case Analysis for Combinatorial Problems*

Advisor: Alan Frieze

Entry Position: Theory Group, Microsoft Research, Washington

Sean Hilden

*Allocation of Risk Capital via Intra-Firm Trading*

Advisor: David Heath

Entry Position: Associate, Model Validation, Lehman Brothers, New York

Anatoli Karolik

*Modeling Correlated Credit Rating Migrations*

Advisor: Steven Shreve

Entry Position: Associate, Credit Derivatives, Bank of Nova Scotia

David Kravitz

*Satisfiability and the Giant Component in Online Variants of the Classical Random Models*

Advisor: Alan Frieze

Entry Position: Applied Mathematician, National Security Agency, Maryland

Venkatesh Natarajan

*Independent Sets in Powers of Odd Cycles and the Global Min-Cut Problem*

Advisor: Thomas Bohman

Entry Position: Research Software Scientist, Google, New York

Juan Vera

*Variations on the Preferential Attachment Graph*

Advisors: Alan Frieze and Javier Pena

Entry Position: Postdoctoral Fellow, Computer Science Dept., Georgia Tech

### 2005

Konstantin Andreev

*Approximation Algorithms for Network Design and Graph Partitioning Problems*

Advisor: Bruce Maggs

Entry Position: Consultant, Pricing Analytics, Chatham Financial, PA

Margarida Baia

*Variational Multiscale Problems and Applications to Thin Films*

Advisor: Irene Fonseca

Entry Position: Professor Auxiliar, Math Dept., Instituto Superior Tecnico, Portugal

Stephen D’Silva

*Time Consistent and Currency Invariant Risk Adjusted Valuations*

Advisor: David Heath

Entry Position: Associate, Fixed Income Research, Lehman Brothers, New York

Caner Kazanci

*Statistical Analysis and Reverse Engineering of Large Biochemical Networks*

Advisor: Shlomo Ta’asan

Entry Position: Assistant Professor, Math & Engineering Dept., Univ. of Georgia

Stephen Pankavich

*The Vlasov-Poisson System with Infinite Mass and Energy*

Advisor: Jack Schaeffer

Entry Position: Postdoctoral Fellow, Math Dept., Indiana Univ.

Traian Pirvu

*Maximizing Portfolio Growth Rate under Risk Constraints*

Advisor: Steven Shreve

Entry Position: Postdoctoral Fellow, Math Dept., Univ. British Columbia

Cristina Popovici

*Coupled Singular Perturbations and Homogenization in Phase Transitions*

Advisor: Irene Fonseca

Entry Position: Visiting Postdoctoral Fellow, Math Dept., University of Utah

Adam Speight

*Multigrid Methods for Calibrating Financial Models*

Advisor: Shlomo Ta’asan

Entry Position: Assistant Prof., Risk Management and Insurance, Georgia State Univ.

Adrian Tudorascu

*Optimal Mass Transportation Methods for Gradient Flows in the Weak Topology*

Advisor: David Kinderlehrer

Entry Position: Postdoctoral Fellow, Math Dept., Georgia Tech Univ.

Aris Winger

*On Pattern Formation in a One Dimensional Viscoelastic System with Numerical Computation*

Advisors: William Hrusa and Roy Nicolaides

Entry Position: Assistant Prof., Math and Computer Sci. Dept., Emory and Henry College, Virginia

### 2004

Marian Bocea

*A Young Measure Approach to Nonlinear Membrane Theory*

Advisor: Irene Fonseca

Entry Position: Visiting Assistant Prof., Math Dept., Univ. of Utah

Chad Brown

*Set Comprehension in Church’s Type Theory*

Advisor: Peter Andrews

Entry Position: Postdoctoral Fellow, Universitat des Saarlandes, Germany

Karel Janecek

*Futures Trading Model with Transaction Costs*

Advisor: Steven Shreve

Entry Position: Research Scientist, Radon Institute, Austria

Alexei Kolesnikov

*Generalized Amalgamation in Simple Theories and Characterization of Dependence in Non-Elementary Cases*

Advisor: Rami Grossberg

Entry Position: Visiting Assistant Prof., Math Dept., Univ. of Michigan, Ann Arbor

Paul Komarek

*Logistic Regression for Data Mining and High-Dimensional Classification*

Advisor: Andrew Moore

Entry Position: Postdoctoral Fellow, Robotics Inst, Carnegie Mellon Univ.

Kerry Ojakian

*Combinatorics in Bounded Arithmetic*

Advisor: Jeremy Avigad

Entry Position: Postdoctoral Fellow, Faculty of Math & Physics, Charles University, Czech Republic

Luca Petrelli

*Variational Principle for General Diffusion Problems*

Advisor: David Kinderlehrer

Entry Position: Assistant Prof., Math & Comp. Sci. Dept., Mount St. Mary’s Univ., Maryland

Petronella Radu

*On Semilinear Wave Equations*

Advisor: Luc Tartar

Entry Position: Assistant Prof., Math Dept., Univ. Nebraska, Lincoln

Juan Rivera

*Portfolio Choice under Risk Limits: A Coherent Approach*

Advisor: Dmitry Kramkov

Entry Position: Assistant Vice President, Risk Analytics, Pittsburgh National Corp.

Ksenija Simic

*Aspects of Ergodic Theory in Subsystems of Second-Order Arithmetic*

Advisor: Jeremy Avigad

Entry Position: Postdoctoral Fellow, Math Dept., Univ. Arizona, Tucson

Mihai Sirbu

*A Two-Person Game for Pricing Convertible Bonds*

Advisor: Steven Shreve

Entry Position: Assistant Professor, Math Dept., Columbia Univ., New York

Kathryn Trapp

*A Class of Compatible Discretizations with Applications to Div-Curl Systems*

Advisor: Roy Nicolaides

Entry Position: Assistant Prof., Math & Comp. Sci. Dept., Univ. of Richmond, Virginia

Mingxin Xu

*Minimizing Shortfall Risk Using Duality Approach – An Application to Partial Hedging in Incomplete Markets*

Advisor: Steven Shreve

Entry Position: Assistant Prof., Math Dept., Univ. North Carolina, Charlotte

### 2003

Geoffrey Atkinson

*b-independent Sets in Random Graphs*

Advisor: Alan Frieze

Entry Position: Assistant Prof., Math Dept., Seton Hill Univ., PA

John Krueger

*Saturated Ideals*

Advisor: James Cummings

Entry Position: Postdoctoral Fellow, Kurt Godel Research Center for Math Logic, Austria

Steven Pav

*Delaunay Refinement Algorithms*

Advisor: Noel Walkington

Entry Position: Visiting Assistant Prof., Math Dept., Univ. California, San Diego

Pedro Santos

*On Some Constrained Variational Problems*

Advisor: Irene Fonseca

Entry Position: Assistant Prof., Math Dept., Instituto Superior Tecnico, Portugal

Peng Yu

*Bridging Scales in Fluids and Materials Science*

Advisor: Shlomo Ta’asan

Entry Position: Assistant Prof., Math Dept., Penn State Univ.

### 2002

Daniil Bunimovich

*Modeling and Pricing of Collateralized Debt Obligations*

Advisor: Steven Shreve

Entry Position: Associate Math Researcher, Credit Trading & Structuring, Bank of Nova Scotia

Jianping Liu

*Molecular Models for Fluid Mixtures and Their Large Scale Dynamics*

Advisor: Shlomo Ta’asan

Entry Position: Senior Application Engineer, Oracle Corp., New York

Ojas Parekh

*Polyhedral Techniques for Graphic Covering Problems*

Advisor: Ramamoorthi Ravi

Entry Position: Assistant Prof., Math & Comp. Sci. Dept., Emory University, Georgia

Monica VanDieren

*Categoricity and Stability in Abstract Elementary Classes*

Advisor: Rami Grossberg

Entry Position: Szego Assistant Prof., Math Dept., Stanford University, California

### 2001

Mikil Foss

*On Lavrentiev’s Phenomenon*

Advisors: William Hrusa and Victor Mizel

Entry Position: Visiting Associate Prof., Math Sciences, Carnegie Mellon University

Bjarni Halldorsson

*Algorithms for Biological Sequence Problems*

Advisor: Ramamoorthi Ravi

Entry Position: Computer Scientist, Informatics Research, Maryland

### 2000

Yuri Greenfield

*Hedging of the Credit Risk Embedded in Derivative Transactions*

Advisor: John Lehoczky

Entry Position: Research Analyst, Derivatives Research Dept., Lehman Brothers, New York

Diego Jara

*An Extension of Levy’s Theorem and Applications to Financial Models Based on Futures Prices*

Advisor: David Heath

Entry Position: Associate, Fixed Income Derivatives, Lehman Brothers, New York

Aggelos Tsikas

*Solid State Mass Diffusion with Crystalline Interfacial Energy*

Advisor: Morton Gurtin

Entry Position: Postdoctoral Fellow, Applied Math Dept., National Technical Univ., Athens, Greece

Feyzullah Egriboyun

*Optimal Investment and Consumption with Reallocation and Drawdown Constraints*

Advisor: Mete Soner

Entry Position: Developer/Modeler, Global Mode and Analytics, CS First Boston Corp., New York

Goran Konjevod

*Generalizing Set Cover: Approximation Algorithms for Group Steiner Trees and Related Problems*

Advisor: Ramamoorthi Ravi

Entry Position: Assistant Prof., Computer Sci. & Engineering Dept., Arizona State Univ.

Jan Vecer

*Options on a Traded Account*

Advisor: Steven Shreve

Entry Position: Visiting Assistant Prof., Univ. of Michigan, Ann Arbor

### 1999

Matthew Bishop

*Mating Search without Path Enumeration*

Advisor: Peter Andrews

Entry Position: Research Associate, Computing Dept., Imperial College, UK

Jeffery Boats

*Linear Algebra Textbook Implementing Instructional Technology*

Advisor: Richard MacCamy

Entry Position: Assistant Prof., Dept. Math & Comp. Sci., Univ. Detroit Mercy, Michigan

Byungduck Chough

*Numerical Techniques for Macroscopic Dynamics of Particle Systems: Dilute Gases*

Advisor: Shlomo Ta’asan

Entry Position: Senior Technical Member, Network Maintenance Solutions, AT&T, New Jersey

Roberto Virga

*Higher-Order Rewriting with Dependent Types*

Advisor: Frank Pfenning

Entry Position: Postdoctoral Research Associate, Computer Science Dept., Princeton Univ., New Jersey

Lei Zhao

*Disjoint Paths in Random Graphs*

Advisor: Alan Frieze

Entry Position: Software Design Engineer, Microsoft Corp., Washington

### 1998

Olivier Lessmann

*Dependence Relations in Non-elementary Classes*

Advisor: Rami Grossberg

Entry Position: Research Assistant Prof., Math Dept., Univ. Illinois, Chicago

Neil Simonetti

*Applications of a Dynamic Programming Approach to the Traveling Salesman Problem*

Advisor: Egon Balas

Entry Position: Assistant Prof., Math/Science Dept., Bryn Athyn College of the New Church, PA

Dennis Wong

*A Unifying Credit Model*

Advisor: Steven Shreve

Entry Position: Research Assistant, Research and Advising Services, Scotia Capital Markets, Canada

Uwe Wystup

*Valuation of Exotic Options under Short-selling Constraints*

Advisor: Steven Shreve

Entry Position: Product and Modeling Specialist, Foreign Exchange Options Div., Sal.Oppenheim Jr. & CIE, Germany

Hongwei Xi

*Dependent Types in Practical Programming*

Advisor: Frank Pfenning

Entry Position: Assistant Prof., Electrical & Computer Eng. & Comp. Sci. Dept., Univ. Cincinnati, Ohio

Andrew Yershov

*Numerical Methods for the Shallow Water Equations*

Advisor: James Greenberg

Entry Position: Actuarial Assistant, Insurance Services Office, New York

### 1997

George Christopher

*Structure and Applications of Totally Decomposable Metrics*

Advisor: Michael Trick

Entry Position: Assistant Prof., Math & Statistics Dept., Rochester Inst. Tech., New York

Bogdan Doytchinov

*Heavy Traffic Limits of Queues with Due Dates*

Advisor: Steven Shreve

Entry Position: Postdoctoral Associate, Math Sciences Dept., Carnegie Mellon

Sergio Gutierrez

*Laminations in Linearized Elasticity and a Lusin Type Theorem for Sobolev Spaces*

Advisor: Luc Tartar

Entry Position: Assistant Prof., Math Dept., Pont. Universidad Catolica de Chile

Raul Kangro

*Analysis of Artificial Boundary Conditions for Black-Scholes Equations*

Advisor: Roy Nicolaides

Entry Position: Senior Researcher, Math Dept., Tartu University, Estonia

Urve Kangro

*Spurious Fields in Computational Electromagnetics*

Advisor: Roy Nicolaides

Entry Position: Senior Researcher, Math Dept., Tartu University, Estonia

Priyantha Perera

*Liquid Diffusion Couple in a Microgravity Environment*

Advisor: Robert Sekerka

Entry Position: Quantitative Application Developer, FactSet Research Systems, Inc., Connecticut

Stephen Watson

*Unique Global Solvability for Initial-Boundary Value Problems in One-Dimensional Nonlinear *

Thermoviscoelasticity with Phase Transitions

Advisor: William Hrusa

Entry Position: Assistant Prof., Math Dept., Univ. Louisiana, Baton Rouge

Gregor Weiske

*On Some Problems Related to Linear Elasticity, Optimal Design and Homogenization*

Advisor: Luc Tartar

### 1996

Hui Chen

*On Some Problems of Hypergraphs*

Advisor: Alan Frieze

Entry Position: Quantitative Strategist, Fixed Income Research, Credit Suisse First Boston, New York

Christopher Larsen

*Variational and Measure Theoretic Techniques for Material Equilibria*

Advisor: Irene Fonseca

Entry Position: Visiting Assistant Prof., Math Sciences Dept., Worcester Polytechnic Inst., Mass.

Da-qing Wang

*Applications of the Co-volume Method in Computational Electromagnetics*

Advisor: Roy Nicolaides

Entry Position: Postdoctoral Fellow, Math Sciences Dept., Univ. Delaware, Newark

Han Wang

*Numerical Solution of a Non-convex Optimization Problem Modeling Martensitic Microstructure*

Advisor: Roy Nicolaides

Entry Position: Visiting Assistant Prof., Math Dept., Univ. of North Carolina, Charlotte

### 1995

Jonathan Aronson

*Analysis of a Randomized Greedy Matching Algorithm*

Advisor: Alan Frieze

Entry Position: Center for Computing Sciences, Bowie, Maryland

Robert Carr

*Polynomial Separation Procedures and Facet Determination for Inequalities of the Traveling Salesman Polytope*

Advisors: Egon Balas and Gerald Thompson

Entry Position: Postdoctoral Fellow, Grad School of Industrial Administration, Carnegie Mellon Univ.

Dmitry Golovaty

*The Volume Preserving Motion by Mean Curvature as an Asymptotic Limit of Reaction-Diffusion Equations*

Advisor: Mete Soner

Entry Position: Assistant Prof., Math & Comp. Sci. Dept., Univ. Akron, Ohio

Romaine Jayewardene

*Relations and Functional Relations in Categories with Examples from Fuzzy Set Theory*

Advisor: Oswald Wyler

Entry Position: Lecturer, University of Colombo, Sri Lanka

Michel Schellekens

*The Smyth Completion: A Common Topological Foundation for Denotational Semantics and Complexity Analysis*

Advisor: Stephen Brookes

Entry Position: Postdoctoral Researcher, Dept. of Computing, Imperial College, UK

### 1994

Ana Barroso

*Variational Methods for Phase Transitions*

Advisor: Irene Fonseca

Entry Position: Assistant Prof., Math Dept., Univ. Lisboa, Portugal

Michael Molloy

*Random Graphs with a Fixed Degree Sequence*

Advisor: Alan Frieze

Entry Position: Postdoctoral Fellow, Computer Science Dept., Univ. Toronto, Canada

Dmitry Pugachevsky

*A Stochastic Control Problem for Nematic Liquid Crystals with Variable Degree of Orientation*

Advisor: Victor Mizel

Entry Position: Associate, Global Investment Banking, Bankers Trust Co., New York

W. Dow Rieder

*An Optimal Algorithm for the Construction of Voronoi-Delaunay Mesh Systems in General Domains*

Advisor: Roy Nicolaides

Kristina Vuskovic

*On Balanced Bipartite Graphs*

Advisor: Gerard Cornuejos

Entry Position: Postdoctoral Fellow, Combinatorics & Optimization Dept., University of Waterloo, Canada