| 
              Singularity Theory and Integrable Hierarchies             | 
                      
              Todor Eliseev Milanov; Alexander Givental             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Toric Ideals in Algebraic Statistics             | 
                      
              Seth Michael Sullivant; Bernd Sturmfels             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Orbit Structures for Groups of Homeomorphism on SI             | 
                      
              Norah Catherine Esty; Charles C. Pugh             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Matrix Valued Orthogonal Polynomials             | 
                      
              Luisa Miranian; F. Alberto Grünbaum             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Quantum Riemann-Roch, Lefschetz, and Serre Theorems for Orbifold Gromov-Witten Theory             | 
                      
              Hsian-Hua Tseng; Alexander Givental             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              The Arithmetic of Drinfeld Modules             | 
                      
              Dragos Ghioca; Bjorn Poonen; Thomas Scanlon             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Whitney Theorems And Lefschetz Pencils Over Finite Fields             | 
                      
              Nghi Huu Nguyen; Bjorn Poonen             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Rational Points on K3 Surfaces             | 
                      
              Ronald Martinus Van Luijk; Hendrik W. Lenstra, Jr.             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Global Optimization and Polynomial functions and Applications             | 
                      
              Jiawang Nie; James W. Demmel; Bernd Sturmfels             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Countable Unions of Subvarieties of Semiabelian Varieties             | 
                      
              Oscar Garcia Villareal; Bjorn Poonen             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Quadratic forms and quaternion algebras: algorithms and arithmetic             | 
                      
              John Michael Voight; Hendrik W. Lenstra, Jr.             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Mirkovic-Vilonen Cycles and Polytopes             | 
                      
              Joel Kamnitzer; Allen Knutson             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              L∞ Variational Problems, Aronsson Equations and Weak KAM Theory             | 
                      
              Yifeng Yu; L. Craig Evans             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Examples of Decompositions of Ideals             | 
                      
              George Andrew Kirkup; David Eisenbud             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Problems of Flooding in Porous and Fissured Porous Rock             | 
                      
              Yelena Shvets; Grigory Isaakovich Barenblatt             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Generalizations of Siegel's and Picard's Theorems             | 
                      
              Aaron David Levin; Paul A. Vojta             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Loopy Games and Computation             | 
                      
              Aaron Nathan Siegel; Elwyn Berlekamp             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Applications of Graph Theory to Chromosome Aberrations and Phylogenetics             | 
                      
              Dan Levy; Rainer K. Sachs             | 
                      
              2005             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Quadratic derivative nonlinear Schrodinger equations             | 
                      
              Ioan Bejenaru; Daniel Tataru             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Thorn Forking in Simple Theories             | 
                      
              Clifton Ealy; Thomas Scanlon             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Integrable Soliton Hierarchies for so2n via Intertwining Operators             | 
                      
              Peter Nicholas Pribik; Edward Frenkel             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Counterexamples in Discrete Geometry             | 
                      
              Huntington Tracy Hall; Robion Kirby             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              General Topology Under the Axiom of Determinacy: the Beauty of Topology Without Choice             | 
                      
              Apollo Francis Hogan; John R. Steel             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Heegaard-Floer Homology and d-Based Links in Three Manifolds             | 
                      
              Lawrence P. Roberts; Robion Kirby             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Integrating Lie Algebroids Via Stacks and Applications to Jacobi Manifolds             | 
                      
              Chenchang Zhu; Alan D. Weinstein             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Full Groups, Classification, and Equivalence Relations             | 
                      
              Benjamin David Miller; John R. Steel; Alexander Kechris             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Gross-Stark Units, Stark-Heegner Points, and Class Fields of Real Quadratic Fields             | 
                      
              Samit Dasgupta; Kenneth A. Ribet             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Global Transverse Disks and Suspendibility Criteria             | 
                      
              Robert Kinsley Myers; Charles C. Pugh             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              On the Castelnuovo-Mumford Regularity of Curves and Reduced Schemes             | 
                      
              Daniel Micah Giaimo; David Eisenbud             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Hyperkahler Analogues of Kahler Quotients             | 
                      
              Nicholas James Proudfoot; Allen Knutson             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Vanishing and Non-Vanishing Criteria for Branching Schubert Calculus             | 
                      
              Kevin Purbhoo; Allen Knutson             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Linearizing Countably Infinite Partial Orders             | 
                      
              Jason Scott Horowitz; Theodore A. Slaman             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Tamari Lattices and a Geometric Problem in Antitrust             | 
                      
              Nirit Sandman; Paul A. Vojta             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Fractal Entropies and Dimensions for Microstate Spaces             | 
                      
              Kenley Yoonkiuh Jung; Dan-Virgil Voiculescu             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Quantization of Noncommutative Poisson Manifolds             | 
                      
              Xiang Tang; Alan D. Weinstein             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Contact Homology and One Parameter Families of Legendrian Knots             | 
                      
              Tamas Kalman; Robion Kirby; Michael Hutchings             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Stabilization of Tensor Products in Kac-Moody Algebras             | 
                      
              Sankaran Viswanath; Richard E. Borcherds             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              r-matrices on Lie Superalgebras             | 
                      
              Gizem Karaali; Nicolai Reshetikhin; Vera Serganova             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Submanifold Averaging in Riemannian, Symplectic and Contact Geometry             | 
                      
              Marco Zambon; Alan D. Weinstein             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Structure of the Semi-Classical Amplitude for General Scattering             | 
                      
              Ivana Metodieva Alexandrova; Maciej Zworski             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Finite Dimensional Approximations of Quantum Tori for the Quantum Gromov-Hausdorff Distance             | 
                      
              Frederic Latremoliere; Marc A. Rieffel             | 
                      
              2004             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Optimization of Model Reduction for Linear Ordinary Differential Equations             | 
                      
              Peter Andrew Graf; Alexandre J. Chorin             | 
                      
              2003             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              On Atypical Representations of Classical Lie Superalgebras of Defect One             | 
                      
              Nina Nemyrovska; Vera Serganova             | 
                      
              2003             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Finitary Codes on Bernoulli Shifts             | 
                      
              Nathaniel Edward Harvey; Yuval Peres             | 
                      
              2003             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Fast Adaptive Solvers for Viscous Conservation Laws             | 
                      
              Aaditya Viswanath Rangan; John Strain             | 
                      
              2003             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Algebraic Methods in Game Theory             | 
                      
              Ruchira Sreemati Datta; Bernd Sturmfels             | 
                      
              2003             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Random Perturbations of SRB Measures and Numerical Studies of Chaotic Dynamics             | 
                      
              Kevin Kwei-Yu Lin; Alexandre J. Chorin             | 
                      
              2003             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Witt-Burnside Rings             | 
                      
              Jesse Colin Elliott; Hendrik W. Lenstra, Jr.             | 
                      
              2003             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Upsiloids with Nonpositive Curvature             | 
                      
              Andrew John Miller; Charles C. Pugh             | 
                      
              2003             | 
                      
              PhD Thesis (Author field refers to student + advisor)             | 
                  
              
                      | 
              Centralizers in Fundamental Groups of Graphs of Groups             | 
                      
              Donald Anthony Barkauskas; John R. Stallings             | 
                      
              2003             | 
                      
              PhD Thesis (Author field refers to student + advisor)             |