Ò»±¾µÀÎÞÂë

Zhijun Chen
Conditioning of Random Feature Matrices and Sparse Recovery
Advisor: Hayden Schaeffer
Entry Position: Postdoctoral Fellow, NIH, Bethesda, MD

Zichao Dong
Several problems in extremal combinatorics
Advisor: Boris Bukh
Entry Position: Postdoctoral Research Fellow, Institute for Basic Science - Extremal Combinatorics and Probability Group, Daejeon, South Korea

Junichi Koganemaru
Traveling wave solutions to the free boundary Navier-Stokes equations
Advisor: Ian Tice
Entry Position: Visiting Professor, Ò»±¾µÀÎÞÂë, Pittsburgh

Samson Leung
Stability, Categoricity and Axiomatization of Abstract Elementary Classes
Advisor: Rami Grossberg
Entry Position: Assistant Teaching Professor, Penn State University, State College, PA

Anish Sevekari
Probabilistic Analysis of Various Algorithms
Advisor: Wesley Pegden
Entry Position: Postdoctoral Fellow in Computational Biology, University of Pittsburgh, Pittsburgh, PA

Yifan Sun
Topics on modeling high dimensional time series data
Advisor: Hayden Schaeffer
Entry Position: Algo Quant, Barclays Capital, New York, NY

Yukun Yue
Convergence Analysis Of Numerical Schemes For Liquid Crystals Based On The Invariant Energy Quadratization Method
Advisor: Franziska Weber
Entry Position: Van Vleck Visiting Assistant Professor, University of Wisconsin-Madison, Madison, Wisconsin

Zeyu Zhang
Propagation of chaos for order statistics of particle systems with mean-field interaction
Advisor: Martin Larsson
Entry Position: Associate, Quantitative Strategist, Goldman Sachs, New York, NY

Danlei Zhu
Manifold Estimation from Noisy Point Clouds
Advisor: Dejan Slepčev
Entry Position: Junior Quant Trader, Akuna Capital LLC, Chicago

Shaun Allison
Orbit Equivalence Relations and Anticlassification Results
Advisor: Clinton Conley
Entry Position: Postdoctoral Associate, Einstein Inst. of Math, Hebrew Univ. of Jerusalem

Da Qi Chen
Topics in Information Dissemination, Network Fortification and Extremal Structures
Advisor: R. Ravi
Entry Position: Postdoctoral Research Assistant at University of Virginia Biocomplexity Institute and Initiative, Charlottesville, VA

Mochong Duan
Numerical Approximations of Viscoelastic Fluids
Advisor: Noel Walkington
Entry Position: Quantitative Associate, Goldman Sachs, New York, NY

Sittinon Jirattikansakul
Blowing up the power of a singular cardinal of any cofinality with collapses
Advisor: James Cummings
Entry Position: Postdoctoral Associate, Tel Aviv University

Marcos Mazari Armida
Remarks on classification theory for abstract elementary classes with applications to abelian group theory and ring theory
Advisor: Rami Grossberg
Entry Position: Burnett Meyer Postdoctoral Fellow, University of Colorado Boulder, Boulder, Colorado

Han Nguyen
Adaptive optimization methods for machine learning
Advisors: Barnabás Póczos & Shlomo Ta'asan
Entry Position: Machine Learning Engineer, Comcast, Philadephia, PA

Matthew Superdock
Topics in topological combinatorics: Simplicial complexes, finite geometries, and the topology of circle-valued maps
Advisor: Florian Frick
Entry Position: Visiting Assistant Professor of Computer Science, Rhodes College, Memphis, TN

Son Van
Investigations of the dynamics of models of heat transfer and clustering
Advisors: Gautam Iyer and Robert Pego
Entry Position: Hans Rademacher instructor, University of Pennsylvania, Philadelphia, PA

Kerrek Stinson
Analysis of a Variational Model for Lithium-Ion Batteries
Advisors: Irene Fonseca and Giovanni Leoni
Entry Position: Postdoctoral Fellow, University of Bonn, Bonn, Germany

Ananya Uppal
Nonparametric Density Estimation under Dual Besov Norms
Advisor: Barnabás Póczos
Entry Position: Postdoctoral Fellow, University of Texas at Austin

Christopher Almost
Diffusion Scaling of a Limit-Order Model: The Symmetric Case
Advisor: Steven Shreve
Entry Position: Quantitative Research Analyst, Waterfront International, Toronto, Canada

Michael Anastos
Algorithmic and Structural Properties of Random Graphs
Advisor: Alan Frieze
Entry Position: Postdoctoral Associate, Freie Universitat, Berlin

Yuanyuan Feng
Dissipation Enhancement by Mixing
Advisor: Gautam Iyer
Entry Position: S. Chowla Assistant Professor (Postdoctoral), Penn State, State College, Pennsylvania

Giovanni Gravina
Variational Techniques for Water Wave and Singular Perturbations
Advisor: Giovanni Leoni
Entry Position: Postdoctoral Associate, Charles University,  Faculty of Mathematics and Physics, Prague, Czech Republic

David Gutman
First-Order Methods in Convex Optimization: Acceleration, Conditioning, and Rescaling
Advisor: Javier Pena
Entry Position: Assistant Professor, Texas Tech University, Lubbock, Texas

Adrian Hagerty
Variational Methods for Second Order Structured Deformations and Multiscale Problems
Advisor: Irene Fonseca
Entry Position: Machine Learning Engineer, Edge Case Research

Yan Xu
An Optimal Transport Problem with Backward Martingale Constraint Motivated by Equilibrium with Insider
Advisor: Dmitry Kramkov
Entry Position: Algorithmic Trading, Deutsche Bank, Singapore

Xiaofeng Yu
Diffusion Scaling of a Limit-Order Book Model: The Asymmetric Case
Advisor: Steven Shreve
Entry Position: Research Associate, Goldman Sachs, Jersey City, New Jersey

Jing Zhang
Some Results in Combinatorial Set Theory
Advisor: James Cummings
Entry Position: Postdoctoral Fellow, Israel Academy of Sciences and Humanities, Ramat Gan, Israel

Linan Zhang
Sparse Recovery And Deep Learning For Extracting Time-Dependent Models From Data
Advisor: Hayden Schaeffer
Entry Position: Postdoctoral Researcher, University of Pittsburgh, Pittsburgh, PA

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

Jennifer Iglesias
Approximation Algorithms for Faster Communication and Cheaper Networks Using Linear Programming
Advisor: Ramamoorthi Ravi
Entry Position: Software Engineer, Waymo, Mountain View, 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: Research Scientist at Eigen Technologies, London UK

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.

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

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

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

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

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.

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

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.

Mikil Foss
On Lavrentiev’s Phenomenon
Advisors: William Hrusa and Victor Mizel
Entry Position: Visiting Associate Prof., Math Sciences, Ò»±¾µÀÎÞÂë

Bjarni Halldorsson
Algorithms for Biological Sequence Problems
Advisor: Ramamoorthi Ravi
Entry Position: Computer Scientist, Informatics Research, Maryland

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

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

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