Carnegie Mellon University

Past Ph.D. students by year:

2017

Arda Antikacioglu
Quantifying and Improving Sales Diversity in Recommender Systems
Advisor: Ramamoorthi Ravi
Entry Position: Vice-President Portfolio Optimization and Management, WorldQuant LLC, Connecticut

Jeff Eisenbeis
Nonlocal Aggregation Dynamics with Near-neighbor Weighting, and the Associated Geometry of Measures
Advisors: Robert Pego and Dejan Slepčev
Entry Position: Software Engineer, HERE Technologies, Carlsbad, California

Tony Johansson
Random Graphs and Algorithms
Advisor: Alan Frieze
Entry Position: Postdoctoral Fellow, Dept. of Mathematics, Uppsala Univ, Sweden

Slav Kirov
Models and Methods for One-Dimensional Approximations to Point Cloud Data
Advisor: Dejan Slepčev
Entry Position: TBA

Mikhail Lavrov
Results in Ramsey Theory and Probabilistic Combinatorics
Advisor: Po-Shen Loh
Entry Position: Postdoctoral Fellow, College of Engineering, University of Illinois and Urbana

Pan Liu
Variational and Partial Differential Equation Methods for Impage Processing
Advisor: Irene Fonseca
Entry Position: Research Associate, Math Dept., University of Cambridge, UK

Thomas Murphy
Convex Analysis of an Equation Arising in Oil Reservoir Models
Advisor: Noel Walkington
Entry Position: Quantitative Researcher, Volant Trading, New York

Matteo Rinaldi
Dynamics of Phase Separation and Pattern Formation
Advisors: Irene Fonseca and Giovanni Leoni
Entry Position: Consultant, Viome, New York

Sebastien Vasey
Superstability and Categoricity in Abstract Elementary Classes
Advisor: Rami Grossberg
Entry Position: Benjamin Pierce Fellow, Math Dept., Harvard University, Mass.

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 $\mathcal{H}$*
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