Georgia Tech

Mathematics Dissertations at Georgia Tech

Georgia Tech has a project to archive dissertations electronically. Here are links to recent School of Mathematics dissertations, including a few that predate the archive.

Doctoral Dissertations

  1. Xuelei Wang, 8 November, 2002,
    Level Set Model of Microstructure Evolution in the Chemical Vapor Infiltration Process     (abstract)
    Advisor: Shi Jin.
  2. Erik Boczko, 13 November, 2002,
    Polygonal approximation for flows
    Advisor: Konstantin Mischaikow.
  3. Milena Khlabystova, 3 April, 2003,
    Dynamical and Statistical Properties of Lorentz Lattice Gases    ,
    Advisor, Leonid Bunimovich
  4. Kasso Okoudjou, 22 April, 2003,
    Characterization of function spaces and boundedness of bilinear operators through Gabor frames     (abstract)
    Advisor, Christopher Heil.
  5. Sarah Day, 3 June, 2003,
    A rigorous numerical method in infinite dimensions
    Advisor: Konstantin Mischaikow.
  6. Sean Curran, 24 June, 2003,
    Independent Trees in 4-Connected Graphs
    Advisor: Xingxing Yu.
  7. Laura Sheppardson, 26 June, 2003,
    Disjoint paths in planar graphs
    Advisor: Xingxing Yu.
  8. Bryan Rasmussen, 4 November, 2003,
    Numerical Methods for the Continuation of Invariant Tori
    Advisor: Luca Dieci.
  9. Dmitry Kreslavskiy, 13 November, 2003,
    Lorentz lattice gases on graphs
    Advisor: Leonid Bunimovich.
  10. José Enrique Figueroa-Lopez, 20 November, 2003,
    Nonparametric estimation of Lévy processes with a view towards financial mathematical finance
    Advisor: Christian Houdré. (Degree date May, 2004.)
  11. Zixia Song, 8 July, 2004,
    The Extremal Function for K9 Minors
    Advisor: Robin Thomas.
  12. José Luis Sanchez, 14 December, 2004,
    A Study of Dynamics of Coupled Nonlinear Circuits
    Advisor: Shui-Nee Chow. (Degree date May, 2005.)
  13. Luis Hernández Ureña, 22 February, 2005
    Pricing of Game Options in a market with stochastic interest rates
    Advisor: Robert Kertz.
  14. Marcus Sammer, 11 April, 2005,
    A Transportation Approach to Concentration of Measure
    Advisor: Prasad Tetali.
  15. Jian Chen, 27 April, 2005,
    Bifurcations, Normal Forms and their Applications
    Advisor: Yingfei Yi.
  16. Serguei Norine, 25 May, 2005,
    Matching structure and Pfaffian orientations of graphs
    Advisor: Robin Thomas. (Degree date August, 2005)
  17. Todd Keith Moeller, 14 July, 2005,
    Conley-Morse Chain Maps
    Advisor: Konstantin Mischaikow.
  18. Paul Wollan, Fall 2005
    Extremal Functions for Graph Linkages and Rooted Minors
    Advisor: Robin Thomas
  19. Christel Hohenegger, Spring 2006
    Small Scale Stochastic Dynamics for Particle Image Velocimetry Applications
    Advisor: Peter Mucha
  20. Rajineesh Hegde, Spring 2006
    New Tools and Results in Graph Structure Theory
    Advisor: Robin Thomas
  21. Rafal Komendarczyk, Summer 2006
    Nodal sets and contact structures
    Advisor: Margaret Symington
  22. Suleymann Ulusoy, Summer 2007
    The Mathematical Theory of Thin Film Evolution
    Advisor: Eric Carlen
  23. Jorge Viveros-Rogel, Fall 2007
    An Extension of KAM Theory to Quasi-Periodic Breather Solutions in Hamiltonian Lattice Systems
    Advisor: Yingfei Yi
  24. Jean-Phillippe Lessard, Fall 2007
    Validated Continuation for Infinite Dimensional Problems
    Advisor: Konstantin Mischaikow
  25. Guido Kampel, Fall 2007
    Mathematical Modeling of Fines Migration and Clogging in Porous Media
    Advisor: Guillermo Goldsztein
  26. Christina C. Carroll, Spring 2008
    Enumerative Combinatorics of Posets
    Advisor: Prasad Tetali
  27. Jean P.X. Savinien, Spring 2008
    Cohomology and K-Theory of Aperiodic Tilings
    Advisor: Jean Bellissard
  28. Adam W. Marcus, Spring 2008
    New Combinatorial Techniques for Nonlinear Orders
    Advisor: Prasad Tetali
  29. Alessandro Pugliese, Spring 2008
    Theoretical and Numerical Aspects of Coalescing of Eigenvalues and Singular Values of Parameter Dependent Matrices
    Advisor: Luca Dieci
  30. Csaba Biro, Spring 2008
    Problems and Results in Partially Ordered Sets, Graphs and Geometry
    Advisor: William Trotter
  31. David Jimenez, Spring 2008
    Analysis of Two Problems in Signal Quantization and A/D Conversion
    Advisor: Yang Wang

MS Dissertations

  1. Katharina Baamann, August, 2003,
    The maximum clique problem - On finding an upper bound with application to protein structure alignment     (abstract)
    Advisors: Peter Mucha and Earl Barnes (ISyE)
  2. Sandie Leach, 24 November, 2003, Density Conditions on Gabor Frames
    Advisor: Christopher Heil
  3. Allison Ford, December 1, 2003 Model and analysis of the geometric characteristics of primary carpet backing
  4. Florian Zickfeld, May, 2004 On the Structure of Counterexamples to the Coloring Conjecture of Hajós
    Advisor: Xingxing Yu
  5. Ryan Hynd, July, 2004 Minimal Surfaces in the Three-Sphere with Special Spherical Symmetry .
    Advisor: John McCuan
  6. Tiffany Goble, August, 2004 Automated Reasoning: Computer Assisted Proofs in Set Theory Using Gödel's Algorithm for Class Formation .
    Advisor: Johan Belinfante
  7. Derrick Norman Hart, Summer 2006 Finite Field Models of Roth's Theorem in One and Two Dimensions
    Advisor: Michael Lacey
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