Graduate Program

Department of Mathematics, Duke University

Recent Graduates

2005

David Anderson
Thesis: Stochastic perturbations of biochemical reaction networks
Advisor: Jonathon Mattingly and Michael Reed
Research Associate, Duke University
Robert Buckingham
Thesis: Long-time asymptotics of the nonlinear Schrodinger equation shock problem
Advisor: Stephanos Venakides
Assistant Prof. of Math., Univ. of Michigan
John Cain
Thesis: Issues in the one-dimensional dynamics of a paced cardiac fiber
Advisor: David Schaeffer
Assistant Prof. of Math., Virginia Commonwealth Univ.
Carina Curto
Thesis: Matrix model superpotentials and Calabi-Yau spaces: an ADE classification
Advisor: David Morrison
Postdoc in quantitative neuroscience, Rutgers-Newark
Andrew Feist
Thesis: Two Problems in Delay Differential Equations
Advisor: Tom Witelski
ECPI College of Technology, Virginia
Daniel Fox
Thesis: Second Order Families of Co-associative 4-Folds
Advisor: Robert Bryant
NSF International Research Fellowship (Oxford, UK) and Visiting Assistant Prof., UC Irvine
Craig Grabowski
Thesis: On the integral Hodge conjecture for 3-folds
Advisor: Chad Schoen
Bank of America
Guoqiang Yang
Thesis: Quanitative models for dorsal closure in drosophila embryos
Advisor: Stephanos Venakides
Shanghai Univ., Venakides
Dan Yasaki
Thesis: On the existence of Splines for Q-rank 1 groups
Advisor: Les Saper
Visiting Assistant Prof., Mathematics, U. Massachusetts
Wenjun Ying
Thesis: A Multi-level adaptive approach for computational cardiology
Advisor: John Trangenstein
Postdoc, Biomedical Engineering, Duke Univ.

2004

Christian Benes
Thesis: On some problems concerning Planar Random Walks
Advisor: Gregory Lawler
Postdoc, Tufts University
John Greer
Thesis: Fourth order diffusions for image processing
Advisor: Andrea Bertozzi
Assistant Research UCLA (1 semester) & NSF postdoc Courant Institute
Christopher Hale
Thesis: On Calculations of Leaky-Mdoes in Photonic Crystals.
Advisor: Stephanos Venakides
Mathematics Instructor, Duke University
Robert Karp
Thesis: D-Branes on Calabi-Yau Manifolds & Pi-Stability in the derived category
Advisor: Paul Aspinwall
Postdoc, Physics Department, Rutgers
Kevin Kesseler
Thesis: Analysis of Feedback-Medicated Bynamics in two coupled Nephrons
Advisor: Harold Layton
Mathematics Instructor, Duke & UNC, postdoc, Pathology Department, Lineberger Cancer Center, U. North Carolina
Michael Kozdron
Thesis: Simple Random Walks Excursion Measure in the Plane
Advisor: Gregory Lawler
Assistant Professor, University of Regina, Regina, Saskatchewan

2003

Colleen Mitchell
Thesis: Mathematical Properties of Time Windowing in Neural Systems
Advisor: Michael Reed
National Science Foundation postdoctoral fellowship at Boston University, Boston, MA
Darren Oldson
Thesis: Flow Perturbations in a Matematical Model of the Tubuloglomerular feedback system.
Advisor: Harold Layton
Postdoctoral Fellow, Vanderbilt University, Nashville, TN
Ted Welsh
Thesis: Mathematical Modeling of Landscape Erosion:Convergence, Singularies...transport-limited model.
Advisor: Andrea Bertozzi
Assistant Professor, Westfield State College, Westfield, MA

2002

David Ambrose
Thesis: Well-Posedness of Vortex sheets with surface tension
Advisor: Tom Beale
Courant Instructor, Courant Institute, New York & Assistant Professor, Clemson University (2005-)
Anne Collins
Thesis: Configuration spaces in Robotic Manipulation and motion planning.
Advisor: John Harer
Postdoctoral Fellow, Mathematics, Stanford University
Marianty Ionel
Thesis: Second Order Families of Special Lagrangian 4-folds in C4
Advisor: Robert Bryant
Postdoc, McMaster University, Canada

2001

Aaron Ashih
Thesis: Spatial & Stochastic models for population growth in Sexual & asexual reproduction.
Advisor: David Schaeffer
Instructor, Raleigh Charter High School, Raleigh, NC
Jonathan Bihari
Thesis: A new approach to delay differential equations.
Advisor: Michael Reed
Postdoc, Tufts University, Medford, MA
Sung Ho Wang
Thesis: Legendrian submanifold path geometry.
Advisor: Robert Bryant
Postdoctoral Fellow, Centre de Recherche Mathematique, Montreal, Canada

2000

Laura Taalman
Thesis: Monomial Generators for the Nash Sheaf of a complete Resolution.
Advisor: William Pardon
Assistant Professor, James Madison University, Harrisonburg, VA
Alexander Solodovnikov
Thesis: Absolute intensity independence in a directional hearing model.
Advisor: Michael Reed
Self employed

1999

Richard-Paul Horja
Thesis: Hypergeometric functions and mirror symmetry in toric varities.
Advisor: David Morrison
Instructor, Duke University & Assistant Prof., Mathematics, U. Michigan
Benjamin McKay
Thesis: Duality and integrable systems of pseudoholomorphic curves
Advisor: Robert Bryant
Max Planck Institute, Bonn, Germany & Wilie Instructor, University of Utah
Liya Zhornitskaya
Thesis: Positivity preserving numerical schemes for lubrication equations.
Advisor: Andrea Bertozzi
Max Planck Institute, Bonn, Germany & Wilie Instructor, University of Utah

1998

Chad Fargason
Thesis: The Percolation dimension of Brownian Motion in three dimensions.
Advisor: Gregory Lawler
Associate, The Boston Consulting Group, Dallas, Texas
Mary Beth Fisher
Thesis: Variance reduction for Stochastic differential equations applied to bond pricing problems.
Advisor: Gregory Lawler
Investigator in clinical pharmacology, Vertex Pharmaceuticals, Cambridge, MA
Anna Georgieva
Thesis: Fourier analysis bifurcation theory numerical methods, applications to Photonic crystals, integrable systems
Advisor: Stephanos Venakides
Postdoc, Chemical Industry Insitutre of Toxicology, Research Triangle Park, NC
Kirsten Travers
Thesis: Ultra-Singularities of Semilinear Hyperbolic Partial Differential Equations.
Advisor: Michael Reed
Donaldson, Lufkin and Jenrette, Investment Bank, New York City
Yiannis Vlassopoulos
Thesis: Quantum Cohomology and the Loop Space.
Advisor: David Morrison
Economics, University of Athens & member, IHES, Paris

1997

Po-Jen Cheng
Thesis: Long time Asymptotics for the Sine-Gordon Equation.
Advisor: Stephanos Venakides
Assistant Professor, Department of Mathematics and Science Education, National Chia-Yi Teachers' College, Taiwan
Christopher Odden
Thesis: The Virtual Automorphism Group of the Fundamental group of a closed surface.
Advisor: John Harer
Visiting Assistant Professor, Amherst College, MA
Anne-Maire Filip
Thesis: Wave Modulation in Anharmonic Lattices.
Advisor: Stephanos Venakides
Assistant Professor, Ryerson Polytechnic University, Toronto, Canada
Jim Rolf
Thesis: A Mathematical Reconstruction of the Corneal Surface.
Advisor: William Allard
Assistant Professor, US Military Academy, West Point, New York

1996

Kayne Arthurs
Thesis: Flow Regulation in the Afferent Arteriole of the Immersed Boundary Method.
Advisor: Michael Reed
Research Associate, Duke University
Beth Brooks
Thesis: Probabilistic methods for Hyperbolic Partial Differential Equations.
Advisor: Michael Reed
Assistant Professor, Southwestern University, Georgetown, TX
Sharad Chaudhary
Thesis: The Brill-Noether theorem for real algebraic curves.
Advisor: Chad Schoen
Prudential, New York
Jeanne Nielsen Clelland
Thesis: Geometry of conservation laws for a class of parabolic PDE.
Advisor: Robert Bryant
NSF Postdoc, Institute of Advanced Study, Princeton, NJ
Rick Clelland
Thesis: Simulation of Granular and Fluid Systems using combined continuous and discrete numerical methods.
Advisor: John Trangenstein
NSF Postdoc, SUNY Stony Brook, NY
Joel Foisy
Thesis: The second homology group of the level 2 mapping class group of an orientable surface.
Advisor: John Harer
Assistant Professor, SUNY Potsdam, NY
Kevin Foltinek
Thesis: Quasilinear third-order scalar evolution equations and their conservation laws.
Advisor: Robert Bryant
Instructor, University of Texas, Austin, Inc
Kevin Knudson
Thesis: The homology of linear groups over laurent Polunomial rings.
Advisor: Richard Hain
Associate Professor, Mississippi State University
Chris Michael
Thesis: Uniqueness of calibrated cycles using exterior differential systems.
Advisor: Robert Bryant
Risk Manager at Donaldson, Lufkin and Jenrette, New York

1995

Khaled Furati
Thesis: A Hysteretic Polymer Flooding Model.
Advisor: John Trangenstein
Asst. Prof., King Fahd University, Saudi Arabia
Keener Hughen
Thesis: The Sub-Riemannian geometry of three manifolds.
Advisor: Robert Bryant
Graduate Student, Mathematical Finance, University of California, Berkeley, CA
Alexandre Kabanov
Thesis: The Second Homology of the Moduli Space of Riemann surfaces with twisted coefficents.
Advisor: Richard Hain
Vistiting scientist, Max-Planck Instiut, Bonn and visiting assit. prof., Michigan State U.

1994

Rich Hornung , (96- ) Applied Mathematician, Center for Applied Scientific Computing, Lawrence Livermore National Laboratory,
(94-96) NSF Industrial Mathematics Post Doctoral Fellow, Mobil Exploration and Producing Technology Co. (Dallas) and Duke U.
Vincent Moulton , (02- ) Professor, Linnaeus Center for Bioinformatics, Upsala University, Sweden
(98-02) Senior Lecturer, Mid Sweden University, Sweden
(94-98) Post-Doc, University of Bielefeld, Bielefeld, Germany
Christopher Peterson, Assistant Professor, Colorado State University.
Emily Puckette, (99- ) Assistant Professor, University of the South, Sewanee
(94-99) Assistant Professor, Occidental College, Los Angeles.
Henry Suters , Associate Professor, Carson-Newman College, TN.

1993

Michael Gordon , Associate Professor, State University of West Georgia
Michael McDonald
Gary Tucker, Associate Professor of Mathematics & Computer Science, Averett University, Danville, Virginia

1992

Danielle Carr (Ramdath), Program Officer, The Mellon Foundation, N.Y., NY
Andrew Ferrari, Durham Academy, Durham, NC
Thomas Ivey, Professor of Mathematics, College of Charleston
Charles Vuono

1991

Lianjun An, IBM
Alfred Bourgeois, Software Engineer, Mesoscale & Microscale Meterology Division, National Center for Atmospheric Research, Boulder, Co
Lucas Hsu , Vice President, Product Development at Photonic Bridges
William Mueller
Jeanne Nailor
Thomas Polaski
Freda Porter-Locklear
Tien-Yu Sun Associate Professor, Dept. of Mathematics, Chung Yuan Christian University, Taiwan
Feng Wang, Salomon Brothers
Yun-Gang Ye
Yunliang Yu , Senior Systems Programmer, Math Department, Duke University
Taiyan Zhang

1990

Antonella Grassi, Associate Professor, University of Pennsylvania
Joseph Landsberg, Professor of Mathematics, Texas A M
Robert McLean, Ear, nose and throat surgeon in private practice, Colorado Springs, Co.
J.B. Poznanski
Dong-Kwan Shin
Insum Shin
Qi Zhang

1989

Xin Tu

1988

Julia Kimbell, Associate Investigator, Division of Computational Biology, Chemical Industry Institute of Toxicology
Kyriakos Kontostathis
Donna Sylvester Assoc. Prof., Dept. of Mathematics, Seattle University, Seattle, WA

1987

Kevin Bartkovich

1986

Fernando Fernandez-Carmena
Maija Kuusela, University of Helsinki
(86-88) Research Assistant, Helsinki University of Technology
(89-90) Junior Fellow, Finish Academy
(89-90) Lecturer, Helsinki University of Technology (90-92) Senior Lecturer, Esopoo-Vantaa Institute of Technology
(92-95) Head of Mathematics, Esopoo-Vantaa Institute of Technology
(95--) Research Engineer, Nokia Research Center, Helsinki
Harold Layton Professor of Mathematics, Duke University
Risto Lehtinen
David Massey, Professor, Department of Mathematics, Northeastern University
Mitsunori Noguchi
William Rayens, Professor, Department of Statistics, University of Kentucky
Damon Scott

1985

Joseph Fehribach, Associate Professor, Department of Mathematical Sciences, WPI
Bruce Pitman, Professor, Department of Mathematics and Associate Dean for Research and Sponsored Programs, College of Arts and Sciences, SUNY BUffalo

1984