Past Ph.D.s

Dissertation:

Stability of Resonances under Singular Perturbations

2017-05
Dissertation:

Global well-posedness and parametrices for critical Maxwell-Dirac and massive Maxwell-Klein-Gordon equations with small Sobolev data

2017-08
Dissertation:

Numerical methods for the Landau-Lifshitz equation in micromagnetics : the mimetic finite difference method and the mass-lumped finite element method

2017-05
Dissertation:

Curved and anisotropic unstructured mesh generation and adaptivity using the Winslow equations

2016-08
Dissertation:

Quasinormal modes of anti-de Sitter black holes

2016-08
Dissertation:

Spectral Analysis on Point Interactions

2016-08
Dissertation:

Noncommutative Distributional Symmetries and Their Related de Finetti Type Theorems

2016-08
Dissertation:

Methods for Optimal Stochastic Control and Optimal Stopping Problems Featuring Time-Inconsistency

2016-12
Dissertation:

Asymptotic PDE Models for Chemical Reactions and Diffusions

2016-05
Dissertation:

Bilinear Quadratures and Their Application

2016-05
2015-05
Dissertation:

Transformations of PDEs: Optimal Transport and Conservation Laws

2015-12
Dissertation:

Distribution of Resonances in Scattering by Thin Barriers

2015-05
2015-05
Dissertation:

Quasilinear dynamics of KdV-type equations

2015-05
2015-05
2015-05
Dissertation:

Noncommutative generalized Brownian motions with multiple processes

2015-05
Dissertation:

Extremal Problems in Analysis

2014-05
Dissertation:

On extremizers for certain inequalities of the k-plane transform and related topics

2014-05
2014-12
Dissertation:

Resonances in General Relativity

2013-05
Dissertation:

Well-posedness of the Three-form Field Equation and the Minimal Surface Equation in Minkowski Space

2013-05
Dissertation:

Free Probability, Planar Algebras, and the Multicolored Guionnet-Jones-Shlyakhtenko Construction

2013-05
Dissertation:

Two Models of Default from Finance and a Model of Invasion from Ecology

2013-05
2013-12
Dissertation:

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

2012-05
Dissertation:

Planar structure for infinite index subfactors and strongly Markov inclusions of finite von Neumann algebras

Dissertation:

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

2012-05
Dissertation:

Applications of Semiclassical Analysis to Partial Differential Equations

2012-05
Dissertation:

Quantum Symmetries in Free Probability

2010-05
Dissertation:

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

2010-05
Dissertation:

Pointwise Ergodic Theorems for Nonconventional L1 Averages

2010-05
Dissertation:

Homogenization and Large Deviations

2010-05
Dissertation:

Finitely-Generated Projective Modules over theta-deformed Spheres

2010-12
Dissertation:

On the Infinity Laplacian and Hrushovski's Fusion

2010-05
Dissertation:

Principal half-eigenvalues of fully nonlinear homogeneous elliptic operators

2009-05
Dissertation:

Connectivity in the Higson Corona of the Positive Real Axis

2009-05
Dissertation:

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

2009-05
Dissertation:

A planar algebra construction of the Haagerup subfactor

2009-05
Dissertation:

Berezin Quantization for Ergodic Actions of Compact Quantum Groups and Quantum Gromov-Hausdorff Distance

2009-05
Dissertation:

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

2009-05
Dissertation:

Lp inequalities for certain generalized Radon transforms

2009-05
Dissertation:

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

2009-05
Dissertation:

Regularity for certain parabolic diffusion systems

2009-05
Dissertation:

Impulse control of multidimensional diffusion and jump diffusion processes

2009-05
Dissertation:

Hadamard Subfactors of Bisch-Haagerup Type

2008-05
Dissertation:

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

2008-05
Dissertation:

Critical Percolation on Finite Graphs

2008-05
Dissertation:

Quantum Monodromy and Non-Concentration near a Closed Semi-Hyperbolic Orbit

2007-05
Dissertation:

Asymptotic Lifts of UCP Semigroups

2007-12
Dissertation:

Limit Theorems for internal Aggregation Models

2007-12
Dissertation:

A Class of Stable Perturbations for Minimal Mass Soliton in Three Dimensional Saturated Nonlinear Schrodinger Equations

2007-05
Dissertation:

A Diagrammatic Category for the Representation Theory of U g (sin)

2007-05
Dissertation:

Fast Diffusion PDE Models for Sandpiles and Lake-River Dynamics

2006-12
Dissertation:

Intermediate Subfactors With Small Index

2006-05
Dissertation:

Asymptotic Results for Zeros of Diffusing Gaussian Analytic Functions

2006-05
Dissertation:

The Spherical Transform on Projective Limits of Symmetric Spaces

2005-05
Dissertation:

L∞ Variational Problems, Aronsson Equations and Weak KAM Theory

2005-05
Dissertation:

Structure of the Semi-Classical Amplitude for General Scattering

2004-05
Dissertation:

Quadratic derivative nonlinear Schrodinger equations

2004-12
Dissertation:

Fractal Entropies and Dimensions for Microstate Spaces

2004-05
Dissertation:

Finite Dimensional Approximations of Quantum Tori for the Quantum Gromov-Hausdorff Distance

2004-05
Dissertation:

Conjugation, the Backward Shift, and Toeplitz Kernels

2003-05
Dissertation:

Finitary Codes on Bernoulli Shifts

2003-12
Dissertation:

C*-algebras and Endomorphisms Associated to Systems of Hilbert Modules

2003-05
Dissertation:

Valence of Harmonic Functions

2003-05
Dissertation:

Perturbation of the nonlinear Schrodinger equation from a linear perspective; vector-valued singular integrals from a scalar perspective.

2002-05
Dissertation:

Quantum Gromov-Hausdorff Distance and Continuity of Connes and Dubois-Violett's 0-deformations

2002-12
Dissertation:

Completely positive semigroups and their product systems.

2002-05
Dissertation:

Interpolation problems in local Dirichlet spaces.

2002-05
Dissertation:

On Certain Invariants in Multivariable Operator Theory

2001-05
Dissertation:

Electrostatics and Dirichlet Spaces

2001-05
Dissertation:

Fredholm modules over certain group C*-algebras.

2001-12
Dissertation:

Weak Solutions for Contractive Nonlinear Equations and Parabolic Relaxation Limits

2001-05
Dissertation:

Weighted Integrals in R2 and the Maximal Conjugated Calderon-Zygmund Operator

2001-05
Dissertation:

Free Stochastic Measures

2000-05
Dissertation:

Hamilton-Jacobi Equations, Viscosity Solutions and Asymptotics of Hamiltonian Systems

2000-05