Education:  

• Ph.D. in Mathematics, University of Texas at Austin,
  supervised by Jerry L. Bona, 2001.
  
  
• M.A. in Mathematics
  University of Georgia in Athens, 1996.
  
  
• B.S. in Mathematics, Summa Cum Laude and with Highest Honors.
  University of Georgia in Athens, 1996.

Previous Appointments:  

• NTNU, Norway
  Research Fellow,
  Department of Mathematics, 2004 - 2005.
  
  
• Lund University, Sweden
  Research Fellow,
  Mathematics Center, Faculty of Science, 2002 - 2004
  
  
• McMaster University, Ontario
  Postdoctoral Fellow,
  Department of Mathematics and Statistics, 2001 - 2002.
  
  
• Los Alamos National Laboratory, New Mexico
  Intern at the Center for Nonlinear Studies (CNLS),
  Summer 2001.

Publications:  

• On the Rate of Convergence of a Collocation Projection of the KdV Equation,
  with X. Raynaud,
  to appear in Mathematical Modelling and Numerical Analysis.
  
  
• Derivation and Comparison of Model Equations for Interfacial Capillary-Gravity Waves in Deep Water,
  to appear in Mathematics and Computers in Simulation.
  
  
• Global Solutions of the Derivative Schrödinger Equation in a Class of Functions Analytic in a Strip,
  with Jerry L. Bona and Zoran Grujic,
  Journal of Differential Equations 229 (2006) 186-203.
  
  
• Convergence of a Spectral Projection of the Camassa-Holm Equation,
  with X. Raynaud,
  Numerical Methods for Partial Differential Equations 22 (2006) 1197-1215.
  
  
• Solitary Waves of Depression,
  Journal of Computational Analysis and Applications 8 (2006) 5-24.
  
  
• Algebraic Lower Bounds for the Uniform Radius of Spatial Analyticity for the Generalized KdV Equation,
  with Jerry L. Bona and Zoran Grujic,
  Annales de l'Institut Henri Poincare, Non Linear Analysis 22 (2005) 783-797.
  
  
• Hamiltonian Long-Wave Expansions for Free Surfaces and Interfaces,
  with Walter Craig and Philippe Guyenne,
  Communications on Pure and Applied Mathematics 58 (2005) 1587-1641.
  
  
• Rapid convergence of a Galerkin projection of the KdV equation ,
  Comptes Rendus Mathematique 341 (2005) 457-460.
  
  
• Error Analysis of Spectral Projections of the Regularized Benjamin-Ono Equation,
  BIT 45 (2005) 69-89.
  
  
• Models for Interfacial Capillary-Gravity Waves in the Long-Wave Limit,
  in Proceedings of The Fifth International Symposium on Ocean Wave Measurement and Analysis, 2005.
  
  
• Numerical Study of Traveling-Wave Solutions of the Camassa-Holm equation, with Jonatan Lenells,
  Chaos, Solitons & Fractals 25 (2005), 287-298.
  
  
• Periodic Traveling Water Waves with Isobaric Streamlines,
  Journal of Nonlinear Mathematical Physics 11 (2004) 461-471.
  
  
• A Uniqueness Result for Periodic Traveling Waves in Water of Finite Depth,
  Nonlinear Analysis: Theory, Methods & Applications 58 (2004) 779-785.
  
  
• A New Model for Large Amplitude Long Internal Waves, with Walter Craig and Philippe Guyenne,
  Comptes Rendus Mecanique 332 (2004) 525-530.
  
  
• Singularity Formation in the Generalized Benjamin-Ono Equation, with Jerry L. Bona,
  Discrete and Continuous Dynamical Systems 11 (2004) 27-45.
  
  
• Stability of Solitary Waves for a Nonlinearly Dispersive Equation,
  Discrete and Continuous Dynamical Systems 10 (2004) 709-716.
  
  
• Dispersion-managed Solitons in the Limit of Large Energy, with Dmitry Pelinovsky,
  Proceedings of the Steklov Mathematical Institute (2003) S91 - S97.
  
  
• The Derivative Nonlinear Schrödinger Equation in Analytic Classes, with Zoran Grujic,
  Journal of Nonlinear Mathematical Physics Supplement to Volume 10 (2003) 62-71.
  
  
• Well-Posedness for the Korteweg-deVries Equation in Spaces of Analytic Functions, with Zoran Grujic,
  Differential and Integral Equations 15 (2002) 1325-1334.
  
  
• Models for Internal Waves in Deep Water, with Jerry L. Bona,
  Discrete and Continuous Dynamical Systems 6 (2000) 1-20.
  
  
• Solitary Waves in a Two-Fluid System that Includes Surface Tension, with Jerry L. Bona,
  Proceedings of the Fifth International Congress for Numerical and Mathematical Wave Propagation (2000) 324-328.
  
  
• Mass Transport and Surface Reaction of Immunoassey, with J. Buchanan, Z. Ding, et. al,
  Industrial Mathematics: The 1998 CRSC Workshop (SIAM, Philadelphia, 2000).
  
  
• Models for Internal Waves in Two-Fluid Systems, Doctoral Dissertation, University of Texas at Austin, 2001.

Conference Talks:

• Models for Interfacial Capillary-Gravity Waves in the Long-Wave Limit,
  Ocean Waves Measurement and Analysis, WAVES 2005, Madrid, Spain, 2005.
  
  
• Model equations for internal waves,
  The Fourth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena , Athens, Georgia, 2005.
  
  
• Hamiltonian long-wave expansions for free surfaces and interfaces ,
  Recent Advances in Nonlinear PDEs , Oslo, Norway, 2005.
  
  
• Analyticity and Singularity Formation in the Generalized KdV Equation ,
  Nolineal 2004 , Toledo, Spain.
  
  
• Uniqueness results for periodic traveling waves
  Workshop on Free Surface Water Waves, The Fields Institute, Toronto, Ontario, Canada, 2004.
  
  
• The generalized KdV equation in analytic classes,
  EquaDiff, Hasselt, Belgium, 2003.
  
  
• Hamiltonian long-wave expansions for free surfaces and interfaces ,
  The Third IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena , Athens, Georgia, 2003.
  
  
• Well-posedness of the KdV equation in analytic classes,
  Öresund Symposium in Partial Differential Equations , Lund, Sweden, 2002.
  
  
• Dispersion-managed solitons in limits of large energy ,
  Annual Meeting of the Canadian Mathematical Society , Quebec, Quebec, 2002.
  
  
• Models for internal waves in deep water,
  The Second IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena , Athens, Georgia, 2001.
  
  
• Blow-up solutions of the generalized Benjamin-Ono equation,
  World Congress of Nonlinear Analysts 2000, Catania, Italy.
  
  
• Solitary waves in a two-fluid system that includes surface tension,
  Waves2000, Santiago de Compostela, Spain.
  
  
• Some numerical results in the modeling of internal waves,
  Texas PDE Conference, Spring 2000, Austin, Texas.
  
  
• Is the Benjamin equation integrable?,
  Nonlinear Partial Differential Equations and Applications, June 1999, Lisbon, Portugal.
  

Classes Taught:

• Fluid Mechanics, for masters students, University of Bergen, 2006.
  
  
• Fourier Analysis, for undergraduate students, University of Bergen, 2005.
  
  
• Ordinary Differential Equations, for masters students, Lund University, 2004.
  
  
• Partial Differential Equations, for Ph.D. students, Lund University, 2003.
  
  
• Mathemtical and Numerical Methods in Ecology, for Ph.D. students, Lund University, 2002.
  
  
• Numerical Methods for Differential Equations, advanced undergraduate level, McMaster University, 2002.
  
  
• Calculus for Business and Natural Sciences, McMaster University, 2001.
  
  
• Precalculus, University of Georgia, 1996.

Fellowships:

• Stiftelsen Bokelunds Resestipendium, Lund University 2003.
• University Continuing Tuition Fellowship, University of Texas, 1999-2001
• Lefevre Departmental Fellowship, University of Texas, Fall 2000.
• Strahan Award for Outstanding Junior in Mathematics, 1994.

Referee Work:

• Inverse Problems
• Electronic Journal of Differential Equations
• Journal of Optics
• Journal of Physics A
• Princeton University Press