Past PhDs

Dissertation:

The Local Langlands Correspondence, Rapoport-Zink Spaces, and Shimura Varieties

2020-05
Dissertation:

Tropical Geometry of Curves

2020-05
Dissertation:

The Geometry of Divisors on Matroids

2020-05
Dissertation:

Spherical and Symmetric Supervarieties

2020-05
Dissertation:

Numerics and stability for orbifolds with applications to symplectic embeddings

2020-05
Dissertation:

Liaison of curves and bundles

2020-05
Dissertation:

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

2019-05
Dissertation:

Microlocal sheaves and mirror symmetry

2019-05
Dissertation:

Matroids and convex geometry in combinatorics and algebra

2019-05
Dissertation:

On the k-Schur Positivity of k-Bandwidth LLT Polynomials

2019-08
Dissertation:

Computations of the cohomological Brauer group of some algebraic stacks

2019-05
Dissertation:

Special Cycles on GSpin Shimura Varieties

2019-05
Dissertation:

Deformations of overconvergent isocrystals on the projective line

 

2018-05
Dissertation:

A Localization Theorem for Derived Loop Spaces and Periodic Cyclic Homology

 

2018-05
Dissertation:

On Betti Tables, Monomial Ideals, and Unit Groups

 

2018-05
Dissertation:

The Generalized External Order, and Applications to Zonotopal Algebra

 

2018-08
Dissertation:

Algebraic Modular Forms on SO5(Q) and the Computation of Paramodular Forms

 

2018-05
Dissertation:

Applications of the Intersection Theory of Singular Varieties

 

2018-05
Dissertation:

Asymptotics of the Tate-Shafarevich Group

 

2018-05
Dissertation:

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

 

2018-08
Dissertation:

Computing modular forms for the Weil representation

 

2018-05
Dissertation:

Posets, Polytopes, and Positroids

2017-05
Dissertation:

Algebraic Geometry for Computer Vision

2017-05
Dissertation:

Combinatorics and Computations in Tropical Mathematics

2017-08
Dissertation:

Combinatorial Analysis of Continuous Problems

2017-05
Dissertation:

Applications of Toric Geometry to Geometric Representation Theory

2017-08
Dissertation:

Topological types of Algebraic stacks

2016-08
Dissertation:

A combinatorial approach to the q,t-symmetry in Macdonald polynomials

2016-08
Dissertation:

Fun with Fields

2016-08
Dissertation:

Combinatorics of the Asymmetric Simple Exclusion Process

2016-08
Dissertation:

Grothendieck resolution, affine Grassmannian, and Yangian

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

Albanese and Picard 1-Motives in Positive Characteristic

2014-05
Dissertation:

Arithmetic Dynamics of Diagonally Split Polynomial Maps

2014-05
Dissertation:

Moduli of Elliptic Curves via Twisted Stable Maps

2014-05
Dissertation:

Computations and Moduli Spaces for Non-archimedean Varieties

2014-05
Dissertation:

Antimicrobial Applications of Ambient-Air Plasmas

2014-05
Dissertation:

Combinatorial patterns in syzygies

2014-05
Dissertation:

Cluster Algebras and Integrable Systems

2014-05
Dissertation:

Superflatness

2013-12
Dissertation:

Algebraic Geometry of Hidden Markov and Related Models

2013-05
Dissertation:

Complex and p-adic Computations of Chow-Heegner Points

2013-12
Dissertation:

Geometric Invariant Theory and Derived Categories of Coherent Sheaves

2013-05
Dissertation:

Perturbative Methods in Path Integration

2013-05
Dissertation:

The Representation Theory of the Exceptional Lie Superalgebras F(4) and G(3)

2013-05
2013-12
Dissertation:

Modularity of residually reducible Galois representations and Eisenstein ideals

2013-05
Dissertation:

Cox Rings and Partial Amplitude

2012-05
Dissertation:

Tropical curves and metric graphs

2012-05
2012-12
Dissertation:

Algebraic Structures in Modular q-hypergeometric Series

2012-05
Dissertation:

Tropical Linear Spaces and Applications

2012-05
2012-05
Dissertation:

Geometry of Generalized Permutohedra

2011-12
Dissertation:

Toric Stacks

2011-05
Dissertation:

On Conformal Field Theory and Number Theory

2011-05
Dissertation:

Secant Varieties of Segre-Veronese Varieties

2011-05
Dissertation:

Strong Macdonald Theory and the Brylinski Filtration for Affine Lie Algebras

2011-12
Dissertation:

Real Algebraic Geometry in Convex Optimization

2011-05
Dissertation:

Rigid Cohomology of Algebraic Stacks

2010-12
Dissertation:

Applications of non-linear algebra to biology

2010-12
Dissertation:

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

2010-05
Dissertation:

Tropical implicitization

2010-12
Dissertation:

Applications and Extensions of Boij-Soderberg Theory

2010-05
Dissertation:

Matroid Polytope Subdivisions and Valuations

2010-05
Dissertation:

One-Sided Prime Ideals in Noncommutative Algebra

2010-05
Dissertation:

Stacky Resolutions of Singular Schemes

2010-05
Dissertation:

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

2010-05
Dissertation:

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

2010-05
Dissertation:

Cyclage, catabolism, and the affine Hecke algebra

2009-05
Dissertation:

Moduli of nondegenerate unipotent representations

2009-12
Dissertation:

Logarithmic Jet Spaces and Intersection Multiplicities

2009-05
Dissertation:

Scaling limits of random skew plane partitions

2009-05
Dissertation:

Borel orbits of x2 = 0 in gln

2009-05
Dissertation:

The Structure of 3-free Permutations

2009-12
Dissertation:

Arithmetic of del Pezzo surfaces of degree 1

2009-05
Dissertation:

Gerbal representations of double loop groups

2009-05
Dissertation:

Perfect Pairings in the Tautological Rings of the Moduli Spaces of Stable Curves

2008-12
Dissertation:

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

2008-05
Dissertation:

Structure of root-reductive Lie algebras

2008-05
Dissertation:

Calculations of Quantum Error Correction and Fault Tolerance Thresholds

2008-05
Dissertation:

Constructing Abelian Varieties for Pairing-Based Cryptography

2008-05
Dissertation:

Polytopes in Computational Biology

2008-05
Dissertation:

CM Points, Selmer groups, component groups and Euler Systems

2008-05
Dissertation:

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

2008-05
Dissertation:

The large sieve and Galois representations

2008-05
Dissertation:

Dual Equivalence Graphs, Ribbon Tableaux and Macdonald Polynomials

2007-05
Dissertation:

Group Schemes Over Artinian Rings and Applications

2007-05
Dissertation:

Monstrous Lie Algebras and Generalized Moonshine

2007-05
Dissertation:

Functoriality of the Logarithmic Riemann-Hilbert

2007-12
Dissertation:

Elliptic Curves with Surjective Global Galois Representatio

2007-05
Dissertation:

Kac-Moody Superalgebras of Finite Growth

2007-05
Dissertation:

Semilinear Actions of Galois Groups and the Algebraic K-Theory of Fields

2007-05
Dissertation:

Cohomology of p-torsion sheaves on characteristic-p curvers

2007-05
Dissertation:

Geometry of Conditional Independence

2007-12
Dissertation:

Poisson Algebraic Geometry in Representation Theory and Combinatorics

2007-05
Dissertation:

Automorphic Representations with Local Constraints

2007-05
Dissertation:

Modular Abelian Variety of Odd Modular Degree

2007-05
Dissertation:

Combinatorial Aspects of Tropical Geometry

2007-05
Dissertation:

Complex Reflection Groups and Dynkin Diagrams

2006-12
Dissertation:

Classes of Strongly Clean Rings

2006-05
Dissertation:

Cleanness and Strong Cleanness of Rings of Matrices

2006-05
Dissertation:

Stable Equivalences of Finite Dimensional Algebras: Relative Homology and Lifting Problems

2006-05
Dissertation:

Algebraic combinatorics for computational biology

2006-05
Dissertation:

Almost Rational Torsion Points on Abelian Varieties

2006-05
Dissertation:

Ramifications Points on the Eigencurve and the Two-Variable Symmetric Square p-adic L-Function

2006-05
Dissertation:

On endomorphism rings of infinite direct sums of modules

2006-05
Dissertation:

The Exchange Property for Modules and Rings

2006-05
Dissertation:

Construction of Curves with Prescribed Period and Index

2006-12
Dissertation:

Del Pezzo Surfaces and the Brauer-Manin Obstruction

2005-12
Dissertation:

The Arithmetic of Drinfeld Modules

2005-05
Dissertation:

Solving Polynomial Systems With Special Structures

2005-12
Dissertation:

Fields of Moduli and Fields of Definition of Curves

2005-12
Dissertation:

Examples of Decompositions of Ideals

2005-05
Dissertation:

Generalizations of Siegel's and Picard's Theorems

2005-05
Dissertation:

Decomposition of Spaces of Cusp Forms over Q, and Variants of Partial Nim

2005-12
Dissertation:

Whitney Theorems And Lefschetz Pencils Over Finite Fields

2005-05
Dissertation:

Global Optimization and Polynomial functions and Applications

2005-05
Dissertation:

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

2005-12
Dissertation:

Logarithmic Nonabelian Hodge Theory in Characteristic p

2005-12
Dissertation:

Tropical Algebraic Geometry

2005-05
Dissertation:

Toric Ideals in Algebraic Statistics

2005-05
Dissertation:

Rational Points on K3 Surfaces

2005-05
Dissertation:

Countable Unions of Subvarieties of Semiabelian Varieties

2005-05
Dissertation:

Quadratic forms and quaternion algebras: algorithms and arithmetic

2005-05
Dissertation:

Ideals Generated by Irreducible Representations of the Symmetric Group in the Polynomial Ring

2005-12
Dissertation:

Gross-Stark Units, Stark-Heegner Points, and Class Fields of Real Quadratic Fields

2004-05
Dissertation:

On the Castelnuovo-Mumford Regularity of Curves and Reduced Schemes

2004-05
Dissertation:

r-matrices on Lie Superalgebras

2004-05
Dissertation:

Integrable Soliton Hierarchies for so2n via Intertwining Operators

2004-12
Dissertation:

Tamari Lattices and a Geometric Problem in Antitrust

2004-05
Dissertation:

Stabilization of Tensor Products in Kac-Moody Algebras

2004-05
Dissertation:

Centralizers in Fundamental Groups of Graphs of Groups

2003-05
Dissertation:

The Singular Theta Correspondence, Lorentzian Lattices and Borcherds-Kac-Moody Algebras

2003-05
Dissertation:

Algebraic Methods in Game Theory

2003-12
Dissertation:

Split Extensions and Generalizations of Injectivity

2003-05
Dissertation:

Topics in Discrete Geometry

2003-05
Dissertation:

Curves on a Nonsingular Quadric Hypersurface in P^4: Existence and Liaison Theory

2003-05
Dissertation:

Hilbert's Tenth Problem and Arithmetic Geometry

2003-05
Dissertation:

Witt-Burnside Rings

2003-05
Dissertation:

Jacobians of Shimura Curves and Jacquet-Langlands Correspondences

2003-05
Dissertation:

Formulas for Resultants

2003-05
Dissertation:

On Atypical Representations of Classical Lie Superalgebras of Defect One

2003-12
Dissertation:

Ramification on Arithmetic Surfaces and P-adic Multi-zeta Values

2003-05
Dissertation:

Associated and attached primes over noncommutative rings

2002-05
Dissertation:

Ramification and semistable Abelian varieties.

2002-05
Dissertation:

Amalgamation and unimodality.

2002-05
Dissertation:

Combinatorial aspects of hypergeometric functions.

2002-05
Dissertation:

Twisted vertex operators, algebraic curves, and Prym varieties.

2002-05
Dissertation:

On Toric Log Schemes

2002-12
Dissertation:

Functorial Cohen Rings

2002-12
Dissertation:

Near-Exceptionality Over Finite Fields

2001-05
Dissertation:

Two Applications of Representation Theory

2001-05
Dissertation:

A Mass Formula for Unimodular Lattices with No Roots

2001-05
Dissertation:

A Splitting Criterion for Galois Representations Associated to Exceptional Modular Forms

2001-05
Dissertation:

Frobenius Algebras, Independence of Field, and Quadratic Forms

2001-05
Dissertation:

Singularities and Jet Schemes

2001-05
Dissertation:

Log Algebraic Stacks and Moduli of Log Schemes

2001-05
Dissertation:

Representations of Cartan-Type Lie Superalgebras

2001-05
Dissertation:

Computational Methods for Studying Sheaves

2001-05
Dissertation:

Epimorphisms and Dominions in Varieties of Lattices

2001-05
Dissertation:

Geometry of Complex Reductive Poisson-Lie Groups

2001-05