Past PhDs

Dissertation:

The Geometry of Divisors on Matroids

2020-05
Dissertation:

Coisotropic Branes on Tori and Homological Mirror Symmetry

2020-08
Dissertation:

Spherical and Symmetric Supervarieties

2020-05
Dissertation:

Numerics and stability for orbifolds with applications to symplectic embeddings

2020-05
Dissertation:

Guts, Dehn Fillings and Volumes of Hyperbolic Manifolds

2020-05
Dissertation:

Singularities in U (2)-invariant 4d Ricci flow

2019-08
Dissertation:

Homological mirror symmetry for the genus 2 curve in an abelian variety and its generalized Strominger-Yau-Zaslow mirror

2019-05
Dissertation:

The arithmetic Hodge-index theorem and rigidity of algebraic dynamical systems over function fields

2019-05
Dissertation:

A Spin TQFT Related to the Ising Categories

2019-08
Dissertation:

Polyfolds and Persistence

2019-08
Dissertation:

Microlocal sheaves and mirror symmetry

2019-05
Dissertation:

Monodromy of Fukaya-Seidel categories mirror to toric varieties

2019-05
Dissertation:

Tropical Lagrangians and Homological Mirror Symmetry

2019-05
Dissertation:

Nontrivial tori in spaces of symplectic embeddings

2019-05
Dissertation:

Mean action of periodic orbits of area-preserving annulus diffeomorphisms

2019-05
Dissertation:

A Localization Theorem for Derived Loop Spaces and Periodic Cyclic Homology

 

2018-05
Dissertation:

Seiberg-Witten and Gromov invariants for self-dual harmonic 2-forms

2018-05
Dissertation:

Applications of the Intersection Theory of Singular Varieties

 

2018-05
Dissertation:

Gromov-Witten Axioms for Symplectic Manifolds via Polyfold Theory

 

2018-05
Dissertation:

A Hodge-theoretic study of augmentation varieties associated to Legendrian knots/tangles

 

2018-08
Dissertation:

Locally Volume Collapsed 4-Manifolds with Respect to a Lower Sectional Curvature Bound

2018-08
Dissertation:

Combinatorial Topology and Applications to Quantum Field Theory

 

2018-12
Dissertation:

On Renormalized Volume

 

2018-05
Dissertation:

Asymptotically Conical Metrics and Expanding Ricci Solitons

 

2018-05
Dissertation:

Morse-Bott and Equivariant Theories Using Polyfolds

 

2018-08
Dissertation:

Geometric Constructions of Mapping Cones in the Fukaya Category

2017-08
Dissertation:

Quasi-Fuchsian surface subgroups of infinite covolume Kleinian groups

2017-08
Dissertation:

Applications of Toric Geometry to Geometric Representation Theory

2017-08
Dissertation:

Topological types of Algebraic stacks

2016-08
Dissertation:

Goerss--Hopkins obstruction theory via model ?-categories

2016-08
Dissertation:

Geometry and Conservation Laws for a Class of Second-Order Parabolic Equations

2016-08
2015-05
2015-05
2015-05
2015-05
2015-05
Dissertation:

Homomorphisms between groups of diffeomorphisms

2014-05
Dissertation:

Antimicrobial Applications of Ambient-Air Plasmas

2014-05
Dissertation:

On Exotic Lagrangian Tori in CP2

2014-05
2014-05
Dissertation:

Loop Group Actions on Categories and Whitaker Invariants

2013-05
Dissertation:

Supersymmetric sigma models, partition functions, and the Chern-Gauss-Bonnet Theorem

2013-05
Dissertation:

The embedded contact homology of toric contact manifolds

2013-12
Dissertation:

Some Results Involving Embedded Contact Homology

2013-05
Dissertation:

Monoidal Structure in Mirror Symmetry and Noncommutative Geometry

2013-08
Dissertation:

The Asymptotics of ECH Capacities and Absolute Gradings on Floer Homologies

2013-05
Dissertation:

Geometric Invariant Theory and Derived Categories of Coherent Sheaves

2013-05
Dissertation:

Representing Sato-Levine Invariants by Whitney Tower Intersections

2013-12
Dissertation:

The Tangent Functor Monad and Foliations

2012-05
Dissertation:

Two Studies of Topological Quantum Field Theory in Two Dimensions

2012-12
Dissertation:

Nonzero Degree Maps Between Three Dimensional Manifolds

2012-05
Dissertation:

Curved String Topology and Tangential Fukuya Categories

2012-05
Dissertation:

Double Groupoids, Orbifolds, and Symplectic Category

2011-05
Dissertation:

Constructing a Broken Lefschetz Fibration with a Span or Twist-spun Knot Fiber

2011-12
Dissertation:

The embedded contact homology of nontrivial circle bundles over Riemann surfaces

2011-05
Dissertation:

Visualizing Regular Tesselations:  Principal Congruence Links and Equivariant Morphisms from Surfaces to 3-Manifolds

2011-12
Dissertation:

Pontrjagin forms on certain string homogeneous spaces

2011-05
Dissertation:

On Embedding Singular Poisson Spaces

2011-05
Dissertation:

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

2011-05
Dissertation:

Strong Macdonald Theory and the Brylinski Filtration for Affine Lie Algebras

2011-12
Dissertation:

Smooth Field Theories and Homotopy Field  Theories

2011-12
Dissertation:

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

2011-05
Dissertation:

Factorizations of Diffeomorphisms of Compact Surfaces with Boundary

2010-05
Dissertation:

Some Mathematical Aspects of Quantum Field Theory

2009-05
Dissertation:

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

2009-05
Dissertation:

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

2009-05
Dissertation:

The Classification of Two-Dimensional Extended Topological Field Theories

2009-05
Dissertation:

Quantum groups, tensor categories and knot invariants

2009-01
Dissertation:

Supersymmetric QFTS. Super Loop Spaces and Bismut-Chern Character

2008-05
Dissertation:

Codimension one embedding of manifolds & expanding maps and solenoid attractors

2008-05
Dissertation:

Categorification of Representations of Quantum Groups and Invariants of Tangle Cobordisms

2007-05
Dissertation:

Organizing Volumes of Right-Angled Hyperbolic Polyhedra

2007-05
Dissertation:

Embedded Contact Homology of 2-Torus Bundles over the Circle

2007-12
Dissertation:

Decategorification of Local sl(2) and sl(3) Khovanov Homology

2007-05
Dissertation:

Quasi-Smooth Derived Manifolds

2007-05
Dissertation:

Nice Heegaard Diagrams and Floer Homology

2007-05
Dissertation:

The symbol of a function of a pseudofferential operator

2006-05
Dissertation:

Knot Floor Homology in Cyclic Branched Covers

2006-05
Dissertation:

Supergroupoids, double structures, and equivariant cohomology

2006-05
Dissertation:

Orbit Structures for Groups of Homeomorphism on SI

2005-05
Dissertation:

Mirkovic-Vilonen Cycles and Polytopes

2005-05
Dissertation:

Singularity Theory and Integrable Hierarchies

2005-05
Dissertation:

Height Functions, Maps to the Integers, and the Whitehead Graph of a Finite Presentation

2005-12
Dissertation:

Quantum Riemann-Roch, Lefschetz, and Serre Theorems for Orbifold Gromov-Witten Theory

2005-05
Dissertation:

Counterexamples in Discrete Geometry

2004-12
Dissertation:

Contact Homology and One Parameter Families of Legendrian Knots

2004-05
Dissertation:

Global Transverse Disks and Suspendibility Criteria

2004-05
Dissertation:

Hyperkahler Analogues of Kahler Quotients

2004-05
Dissertation:

Vanishing and Non-Vanishing Criteria for Branching Schubert Calculus

2004-05
Dissertation:

Heegaard-Floer Homology and d-Based Links in Three Manifolds

2004-12
Dissertation:

Quantization of Noncommutative Poisson Manifolds

2004-05
Dissertation:

Submanifold Averaging in Riemannian, Symplectic and Contact Geometry

2004-05
Dissertation:

Integrating Lie Algebroids Via Stacks and Applications to Jacobi Manifolds

2004-05
Dissertation:

Centralizers in Fundamental Groups of Graphs of Groups

2003-05
Dissertation:

Subfactors, Planar Algebras and Rotations

2003-05
Dissertation:

Riemann-Roch Theorems in Gromov-Witten Theory

2003-05
Dissertation:

The Symplectic Geometry of the Gel'fand-Cetlin-Molev Basis for Representation of Sp(2n,C)

2003-05
Dissertation:

Upsiloids with Nonpositive Curvature

2003-05
Dissertation:

Existence of Foliations on 4-manifolds

2003-05
Dissertation:

Finite Subset Spaces of Graphs and Surfaces

2003-05
Dissertation:

Symplectic forms on product four-manifolds.

2002-05
Dissertation:

The Rohlin property for SFT C*-automorphisms and ergodic properties of 3-interval exchanges.

2002-05
Dissertation:

Some invariants of Poisson manifolds.

2002-05
Dissertation:

Representations of the Temperley-Lieb planar algebra.

2002-05