# 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
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