Past Ph.D.s

Dissertation:

Two Probabilistic Models of Competition

May 2012
Dissertation:

Cox Rings and Partial Amplitude

May 2012
Dissertation:

Tropical curves and metric graphs

May 2012
Dissertation:

Impulse Control and OptimalStopping

May 2012
Dissertation:

Some Periodic Solutions of the Stokes-Oldroyd-B System With Stress Diffusion

May 2012
Dissertation:

The Tangent Functor Monad and Foliations

May 2012
Dissertation:

Algebraic Structures in Modularq-hypergeometric Series

May 2012
Dissertation:

Low Regularity Solutions of Korteweg-deVries and Chern-Simons-Schrödinger Equations

May 2012
Dissertation:

Nonzero Degree Maps BetweenThree Dimensional Manifolds

May 2012
Dissertation:

Recursion Theory and CountableBorel Equlivalence Relations

May 2012
Dissertation:

Curved String Topology and TangentialFukuya Categories

May 2012
Dissertation:

On Extremizers for Adjoint Fourier Restriction Inequalities and a Result in Incidence Geometry

May 2012
Dissertation:

Tropical Linear Spaces andApplications

May 2012
Dissertation:

Applications of SemiclassicalAnalysis to Partial Differntial Equations

May 2012
Dissertation:

Essays on Microeconmics

May 2012
Dissertation:

Solution Spaces for Linear Equations in Valued D-Fields

May 2011
Dissertation:

Double Groupoids,Orbifolds, and Symplectic Category

May 2011
Dissertation:

Constructing a Broken LefschetzFibration with a Span or Twist-spun Knot Fiber

Dec 2011
Dissertation:

Geometry of Generalized Permutohedra

Dec 2011
Dissertation:

The embedded contact homology of nontrivial circle bundles over Riemann surfaces

May 2011
Dissertation:

Toric Stacks

May 2011
Dissertation:

Toric Stacks

Dec 2011
Dissertation:

Visualizing Regular Tesselations:  Principal Congruence Links and Equivariant Morphisms from Surace to3-Manifolds

Dec 2011
Dissertation:

On Conformal Field Theory and Number Theory

May 2011
Dissertation:

Pontrjagin forms on certain string homogeneous spaces

May 2011
Dissertation:

Algebraic Methods for Evaluating Integrals in Bayesian Statistics

May 2011
Dissertation:

On Embedding Singular Poisson Spaces

May 2011
Dissertation:

Uniform Theory of Multiplicative Valued Difference Fields

May 2011
Dissertation:

A decomposition theorem for noncommutative L_p-spaces and a new symmetric monoidal bicategory of von Neumann algebras

May 2011
Dissertation:

Secant Varieties of Segre-Veronese Varieties

May 2011
Dissertation:

Strong Macdonald Theory and theBrylinski Filtration for Affine Lie Algebras

Dec 2011
Dissertation:

Smooth Field Theories and HomotopyField  Theories

Dec 2011
Dissertation:

Twisted Gromov-Witten invariants and applications to quantum K-theory

May 2011
Dissertation:

Real Algebraic Geometry in Convex Optimization

May 2011
Dissertation:

Sticky Incentives and Dynamic Agency

May 2011
Dissertation:

Amalgamation Constuction and Recursive Model Theory

May 2010
Dissertation:

Rigid Colomology of Algebraic Stacks

Dec 2010
Dissertation:

Applications of non-linear algebra to biology

Dec 2010
Dissertation:

Skew-Linked Partitions and a Representation-Theoretic Model for K-Schur

May 2010
Dissertation:

Tropical implicitization

Dec 2010
Dissertation:

Quantum Symmetries in Free Probability

May 2010
Dissertation:

Applications and Extensions of Boij-Soderberg Theory

May 2010
Dissertation:

Matroid Polytope Subdivisions and Valuations

May 2010
Dissertation:

Geometric Model Theory in Efficient Computability

Dec 2010
Dissertation:

Partial Differential Equations with Gradient Constraints Arising in the Optimal Control of Singular Stochastic Processes

May 2010
Dissertation:

Pointwise Ergodic Therrems for Nonconventional L1 Averages

May 2010
Dissertation:

Homogenization and Large Deviations

May 2010
Dissertation:

Finitely-Generated Projective Modules over theta-deformed Spheres

Dec 2010
Dissertation:

One-Sided Prime Ideals in Noncommutative Algebra

May 2010
Dissertation:

Stacky Resolutions of Singular Schemes

May 2010
Dissertation:

Characterization Theorems by Genearlized Indiscernibles

Dec 2010
Dissertation:

Algebraic Methods for Biochemical Reaction Network Theory

May 2010
Dissertation:

On the Infinity Laplacian and Hrushouski's Fusion

May 2010
Dissertation:

On I-Adic Cohomology of Artin Stacks: L-Functions, Weights and the Decomposition Theorem

May 2010
Dissertation:

The Algebraic Brauer-Marnin Obstruction on Chatelet Surfaces, Degree 4 del Pezzo Surfaces, and Enriques Surfaces

May 2010
Dissertation:

Factorizations of Diffeomorphisms of Compact Surfaces with Boundary

May 2010
Dissertation:

A Local Construction of the Smith Normal Form of a Matrix Polynomial and Time-Periodic Gravity Driven Water Waves

May 2010
Dissertation:

Principal half-eigenvalves of fully nonlinear homogeneous elliptic operators

May 2009
Dissertation:

Stable aleph-naught catergorical Algebraic Structures

May 2009
Dissertation:

Cyclage, catabolism, and the affine Hecke algebra

May 2009
Dissertation:

Some Mathematical Aspects of Quantum Field Theory

May 2009
Dissertation:

Symplectic Floer homology of area-preserving surface diffeomorphisms and sharp fixed point bounds

May 2009
Dissertation:

Moduli of nondegenerate unipotent representations

Dec 2009
Dissertation:

Logarithmic Jet Spaces and Intersection Multiplicities

May 2009
Dissertation:

Connectivity in the Higson Carona of the Positive Real Axis

May 2009
Dissertation:

Mixing time of the Swendsen-Wang Dynamics in Complete graph and trees

May 2009
Dissertation:

Scaling limits of random skew plane partitions

May 2009
Dissertation:

A planar algebra construction of te Haagerup subfacto

May 2009
Dissertation:

Pffaffian Line Bundles over Loop space, Spin Structures and the Index Theorem

May 2009
Dissertation:

Borerl orbits of x2 = ) in gln

May 2009
Dissertation:

Berezin Quantization for Ergodic Actions of Campact Quantum Groups and Quantum Granov-Hassdoff Distance

May 2009
Dissertation:

Implicit and fourth-order semi-Lantrangian contouring for geometric moving interface problems

May 2009
Dissertation:

The Classification of Two-Dimensional Extended Topological Field Theories

May 2009
Dissertation:

The Structure of 3-free Permutations

Dec 2009
Dissertation:

Quantum groups, tensor categories and knot invariants

Jan 2009
Dissertation:

Biased Tug-of-War, The Biased Infinity Laplacian and Comparison with Exponential Cones

May 2009
Dissertation:

Lp inequalities for certain generalized Radon transforms

May 2009
Dissertation:

Local energy estimates and Strichartz estimates on Schwarzchild and Kerr black hole backgrounds

May 2009
Dissertation:

Regularity for certain parabolic diffusion systems

May 2009
Dissertation:

Arithmetic of del Pezzo surfaces of degree 1

May 2009
Dissertation:

Impulse control of multidimensional diffusion and jump diffusion processes

May 2009
Dissertation:

Gerbal representations of double loop groups

May 2009
Dissertation:

Perfect Pairings in the Tautologicl Rings of the Moduli Spcaes of Stable Curves

Dec 2008
Dissertation:

On the center of the Lie superalgebra q(n)(2)

May 2008
Dissertation:

Hadamard Subfactors of Bisch-Hagerup Type

May 2008
Dissertation:

Piecewise-Polynomial Discretization and Krylov-Accelerated Multigrid for Elliptic Interface Problems

May 2008
Dissertation:

Mutation-Selection Balance for Polynomial Selection Costs and Matrix-Valued Orthogonal Polynomials

May 2008
Dissertation:

The Solovay Sequence in Derived Models Associated to Mice

Dec 2008
Dissertation:

Structure of root-reductive Lie algebras

May 2008
Dissertation:

Calculations of Quantum Error Correction and Fault Tolerance Thresholds

May 2008
Dissertation:

The Relative Structure of Henselian Valued Fields

Dec 2008
Dissertation:

Constructing Abelian Varieties for Pairing-Based Cryptography

May 2008
Dissertation:

Sypersymmetric QFTS. Super Loop Spaces and Bismut-Chern Character

May 2008
Dissertation:

Polytopes in Computational Biology

May 2008
Dissertation:

CM Points, Selmer groups, component groups and Euler Systems

May 2008
Dissertation:

Distance Methods in Phylogeny

May 2008
Dissertation:

Critical Percolation on Finite Graphys

May 2008
Dissertation:

Types in o-minimal theories

Dec 2008
Dissertation:

Some results on the crystal commutor and affine sl(n) crystals

May 2008
Dissertation:

Codimension one embedding of manifolds & expanding maps and solenoid attractors

May 2008
Dissertation:

The large sieve and Galois representations

May 2008