Recent Ph.D. Recipients
(Click on a student’s name to see his/her dissertation abstract.)
| May 2013 (expected) | ||||
| Student | Advisor | Dissertation | ||
| Igors Gorbovickis | Yulij Ilyashenko | Some Problems from Complex Dynamical Systems and Combinatorial Geometry | ||
| January 2013 | ||||
| Student | Advisor | Dissertation | ||
| Marisa Hughes | Edward Swartz | Quotients of Spheres by Linear Actions of Abelian Groups | ||
| Peter Luthy | Camil Muscalu | Bi-parameter Maximal Multilinear Operators | ||
| Jenna Rajchgot | Allen Knutson | Compatibly Split Subvarieties of the Hilbert Scheme of Points in the Plane | ||
| August 2012 | ||||
| Student | Advisor | Dissertation | ||
| Juan Alonso | Karen Vogtmann | Graphs of Free Groups and their Measure Equivalence | ||
| Jason Anema | Robert Strichartz | Counting Spanning Trees on Fractal Graphs | ||
| Janna Lierl | Laurent Saloff-Coste | Heat Kernel Estimates on Inner Uniform Domains | ||
| Fatima Mahmood | Reyer Sjamaar | Jacobi Structures and Differential Forms on Contact Quotients | ||
| Philipp Meerkamp | John Guckenheimer | Singular Hopf Bifurcation | ||
| Milena Pabiniak | Tara Holm | Hamiltonian Torus Actions in Equivariant Cohomology and Symplectic Topology | ||
| Peter Samuelson | Yuri Berest | Kauffman Bracket Skein Modules and the Quantum Torus | ||
| January 2012 | ||||
| Student | Advisor | Dissertation | ||
| Saúl Blanco Rodríguez | Louis Billera | Shortest Path Poset of Bruhat Intervals and the Complete cd -Index | ||
| George Khachatryan | Yuri Berest | Derived Representation Schemes and Non-commutative Geometry | ||
| Victor Kostyuk | Karen Vogtmann | Outer Space for Two-Dimensional RAAGs and Fixed Point Sets of Finite Subgroups | ||
| August 2011 | ||||
| Student | Advisor | Dissertation | ||
| Owen Baker | Karen Vogtmann | The Jacobian Map on Outer Space | ||
| Jennifer Biermann | Irena Peeva | Free Resolutions of Monomial Ideals | ||
| Mingzhong Cai | Richard Shore | Elements of Classical Recursion Theory: Degree-Theoretic Properties and Combinatorial Properties | ||
| Ri-Xiang Chen | Irena Peeva | Hilbert Functions and Free Resolutions | ||
| Denise Dawson | Kenneth Brown | Complete Reducibility in Euclidean Twin Buildings | ||
| Paul Shafer | Richard Shore | On the Complexity of Mathematical Problems: Medvedev Degrees and Reverse Mathematics | ||
| Russ Thompson | Laurent Saloff-Coste | Random Walks and Subgroup Geometry | ||
| Gwyneth Whieldon | Michael Stillman | Betti Numbers of Stanley-Reisner Ideals | ||
| May 2011 | ||||
| Student | Advisor | Dissertation | ||
| Mihai Bailesteanu | Xiaodong Cao | The Heat Equation under the Ricci Flow | ||
| Samuel Kolins | Edward Swartz | Face Vectors of Subdivision of Balls | ||
| Ho Hon Leung | Reyer Sjamaar | K-Theory of Weight Varieties and Divided Difference Operators in Equivariant KK-Theory | ||
| Benjamin Lundell | Ravi Ramakrishna | Selmer Groups and Ranks of Hecke Rings | ||
| Eyvindur Ari Palsson | Camil Muscalu | Lp Estimates for a Singular Integral Operator Motivated by Calderón’s Second Commutator | ||
| Santi Tasena | Laurent Saloff-Coste | Heat Kernel Analysis on Weighted Dirichlet Spaces | ||
| January 2011 | ||||
| Student | Advisor | Dissertation | ||
| Michelle Snider | Allen Knutson | Affine Patches on Positroid Varieties and Affine Pipe Dreams | ||
| August 2010 | ||||
| Student | Advisor | Dissertation | ||
| Andrew Cameron | Alfred Schatz | Estimates for Solutions of Elliptic Partial Differential Equations with Explicit Constants and Aspects of the Finite Element Method for Second-Order Equations | ||
| Timothy Goldberg | Reyer Sjamaar | Hamiltonian Actions in Integral Kähler and Generalized Complex Geometry | ||
| Yuri Berest | The Projective Geometry of Differential Operators | |||
| Matthew Noonan | John Hubbard | |||
| Sergio Pulido Niño | Philip Protter | Financial Markets with Short Sales Prohibition | ||
| August 2009 | ||||
| Student | Advisor | Dissertation | ||
| Joshua Bowman | John Hubbard | Flat Structures and Complex Structures in Teichmüller Theory | ||
| Nikolai Dimitrov | Yulij Ilyashenko | Rapid Evolution of Complex Limit Cycles | ||
| Alimjon Eshmatov | Reyer Sjamaar | Group-Valued Implosion and Conjugation Spaces | ||
| Chris Lipa | John Hubbard | Monodromy and Hénon Mappings | ||
| Jonathan Needleman | Birgit Speh | On Branching Laws for Representations of GL4(F) to SP4(F) | ||
| Artem Pulemotov | Leonard Gross | Geometric Flows on Manifolds with Boundary | ||
| Biao Wang | William Thurston | Foliations for Quasi-Fuchsian 3-Manifolds | ||
| James Worthington | Dexter Kozen | Automata, Representations, and Proofs | ||
| Zhigen Zhao | J. T. Gene Hwang | Decision Approach and Shrinkage Confidence Intervals | ||
| May 2009 | ||||
| Student | Advisor | Dissertation | ||
| Bradley Forrest | Karen Vogtmann | Degree Subcomplexes of Auter Space and Ribbon Graph Complexes | ||
| January 2009 | ||||
| Student | Advisor | Dissertation | ||
| Radu Murgescu | Ravi Ramakrishna | On the p-Class Groups of the Pure Number Field Q(N1/p) and its Galois Closure Q(N1/p, ζp) | ||
| August 2008 | ||||
| Student | Advisor | Dissertation | ||
| Bryant Adams | Anil Nerode | Representing Processes as Updated Automata and Transducers | ||
| Edoardo Carta | Anil Nerode | Update Transducers and Linear Recurrence Equations over Semirings | ||
| Noam Horwitz | Irena Peeva | Free Resolutions of Monomial Ideals | ||
| Sarah Koch | John Hubbard | A New Link Between Teichmüller Theory and Complex Dynamics | ||
| Francesco Matucci | Kenneth Brown and Martin Kassabov | Algorithms and Classification in Groups of Piecewise-Linear Homeomorphisms | ||
| Mia Minnes | Anil Nerode | Computability and Complexity Properties of Automatic Structures and their Applications | ||
| Michael O'Connor | Richard Shore | Using Tree Automata to Investigate Intuitionistic Propositional Logic | ||
| John Workman | Camil Muscalu | End-Point Estimates and Multi-parameter Paraproducts on Higher Dimensional Tori | ||
| Jessica Zuniga | Laurent Saloff-Coste | Merging of Some Time Homogeneous and Inhomogeneous Markov Chains | ||
| May 2008 | ||||
| Student | Advisor | Dissertation | ||
| Jay Schweig | Edward Swartz | Poset Convex-Ear Decompositions and Applications to the Flag h-Vector | ||
| August 2007 | ||||
| Student | Advisor | Dissertation | ||
| Farkhod Eshmatov | Yuri Berest | The Calogero-Moser Correspondence for Noncommutative Deformations of Kleinian Singularities | ||
| Pavel Gyrya | Laurent Saloff-Coste | Heat Kernel Estimates for Inner Uniform Subsets of Harnack-Type Dirichlet Spaces | ||
| Henri Johnston | Ravi Ramakrishna | The Trace Map and Galois Module Structure of Rings of Integers for Absolutely Abelian Number Fields | ||
| Achilleas Sinefakopoulos | Michael Stillman | On Some Classes of Borel Fixed Ideals and their Cellular Resolutions | ||
| Mauricio Velasco | Michael Stillman | Monomial Resolutions and the Cox Rings of Del Pezzo Surfaces | ||
| May 2007 | ||||
| Student | Advisor | Dissertation | ||
| Jason Bode | Kenneth Brown | Isoperimetric Constants and Self-Avoiding Walks and Polygons on Hyperbolic Coxeter Groups | ||
| Benjamin Chan | Richard Durrett | Coexistence of Contact Process | ||
| Andrei Maxim | Lars Wahlbin | Aspects of the Finite Element Method for Elliptic Partial Differential Equations | ||
| January 2007 | ||||
| Student | Advisor | Dissertation | ||
| Evgueni Klebanov | Laurent Saloff-Coste | Asymptotic Behavior of Convolutions of Centered Density on Lie Group of Polynomial Volume Growth | ||
| Vadims Moldavskis | Yulij Ilyashenko | New Generic Properties of Real and Complex Dynamical Systems | ||
| Aaron Solo | Lars Wahlbin | Finite Element Methods for Elliptic and Parabolic Problems with Low Regularity Boundary Data | ||
| Treven Wall | Leonard Gross | A Fatou Theorem for a Class of Quasi-linear Elliptic Partial Differential Equations | ||
| August 2006 | ||||
| Student | Advisor | Dissertation | ||
| Drew Armstrong | Louis Billera | Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups | ||
| Kristin Camenga | Louis Billera | Angle Sums on Polytopes and Polytopal Complexes | ||
| Guan-Yu Chen | Laurent Saloff-Coste | The Cutoff Phenomenon for Finite Markov Chains | ||
| William Gryc | Leonard Gross | On the Holonomy of the Coulomb Connection over 3-Manifolds with Boundary | ||
| Jason Martin | Ravi Ramakrishna | Building Infinite Ray-Class Towers with Specific Signatures and Small Bounded Root Discriminant | ||
| Melanie Pivarski | Laurent Saloff-Coste | Heat Kernels on Euclidean Complexes | ||
| Franco Saliola | Kenneth Brown | The Face Semigroup Algebra of a Hyperplane Arrangement | ||
| Steven Sinnott | Michael Stillman | Results in Computational Algebra of Bayesian Networks | ||
| Brigitta Vermesi | Gregory Lawler | Intersection Exponents for Random Walks on Cylinders | ||
| May 2006 | ||||
| Student | Advisor | Dissertation | ||
| Jeffrey Abraham Mermin | Michael Stillman | Lexicographic Ideals | ||
| John Thacker | Gregory Lawler | Properties of Brownian and Random Walk Loop Soups | ||
| January 2006 | ||||
| Student | Advisor | Dissertation | ||
| Steven Morris | Reyer Sjamaar | Four- and Six-Dimensional Nilmanifolds and Symplectic Forms | ||
| Yan Zeng | Philip Protter | Compensators of Stopping Times | ||
| August 2005 | ||||
| Student | Advisor | Dissertation | ||
| Maria Belk | Robert Connelly | Applications of Stress Theory: Realizing graphs and Kneser-Poulsen | ||
| Richard Durrett | Phase Transitions for the Distance of Random Walks with Applications to Genome Rearrangements | |||
| Lee Gibson | Laurent Saloff-Coste | The Number of Sites Visited By a Random Walk on an Infinite Graph | ||
| Radu Haiduc | John Guckenheimer | Horseshoes in the Forced van der Pol Equation | ||
| Spencer Hamblen | Ravi Ramakrishna | Lifting n-dimensional Galois Representations | ||
| Christopher Hardin | Dexter Kozen | The Horn Theory of Relational Kleene Algebra | ||
| Todd Kemp | Leonard Gross | Hypercontractivity in Non-commutative Holomorphic Spaces | ||
| Antonio Montalban | Richard Shore | Beyond the Arithmetic | ||
| Roland Roeder | John Hubbard | Topology for the Basins of Attraction of Newton’s Method in Two Complex Variables | ||
| Hasanjan Sayit | Philip Protter | Realistic No Arbitrage Condition | ||
| Serguei Slavnov | Anil Nerode | Semantic Investigations of Linear Logic | ||
| José Trujillo Ferreras | Gregory Lawler | The Random Walk Loop Soup and the Expected Area of the Brownian Loop in the Plane | ||
| Russell Woodroofe | Kenneth Brown | Shelling the Coset Poset | ||
| May 2005 | ||||
| Student | Advisor | Dissertation | ||
| Fernando Schwartz | José Escobar | Scalar Curvature Problems on Manifolds with Boundary | ||
| August 2004 | ||||
| Student | Advisor | Dissertation | ||
| James Belk | Kenneth Brown | Thompson's Group F | ||
| Nelia Charalambous | José Escobar | On the L^p Independence of the Spectrum of the Hodge Laplacian and Logarithmic Sobolev Inequalities on Non-Compact manifolds | ||
| Dan Ciubotaru | Dan Barbasch | Unitary Representations of Exceptional p-adic Groups | ||
| Jean Cortissoz | José Escobar | On the Ricci Flow in Rotationally Symmetric Manifolds with Boundary | ||
| Christopher Francisco | Michael Stillman |
Hilbert functions and graded free resolutions |
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| Yuval Gabay | Richard Shore | Double Jump Inversions and Strong Minimal Covers in the Turing Degrees | ||
| Noam Greenberg | Richard Shore | The Role of True Finiteness in the Admissible Recursively Enumerable Degrees | ||
| JaEun Ku | Lars Wahlbin | Least-Squares Methods for Second-Order Elliptic Partial Differential Equations | ||
| Dmitry Leykekhman | Lars Wahlbin | Pointwise Weighted Error Estimates for Parabolic Finite Element Equations | ||
| Yi Lin | Reyer Sjamaar | Equivariant Symplectic Hodge Theory and Strong Lefschetz Manifolds | ||
| Harrison Huibin Zhou | J. T. Gene Hwang & Michael Nussbaum |
Minimax Estimation with Thresholding and Asymptotic Equivalence for Gaussian Variance Regression | ||
| May 2004 | ||||
| Student | Advisor | Dissertation | ||
| Shawn Walker | Louis Billera | Shift Techniques and Multicover Inequalities on Colored Complexes | ||
| January 2004 | ||||
| Student | Advisor | Dissertation | ||
| Janet Best | Richard Durrett | The Mathematics of Ecological Competition | ||
| August 2003 | ||||
| Student | Advisor | Dissertation | ||
| Matthew Eugene Horak | Karen Vogtmann | Mapping Class Subgroups of Outer Automorphism Groups of Free Groups | ||
| Samuel K. Hsiao | Louis Billera | Peak Quasisymmetric Functions and Flag Enumeration in Eulerian Posets | ||
| Fernando Codá Marques | José Escobar | Existence and Compactness Theorems on Conformal Deformation of Metrics | ||
| Reba Schuller | Anil Nerode | A Theory of Multitask Learning for Learning from Disparate Data Sources | ||
| August 2002 | ||||
| Student | Advisor | Dissertation | ||
| Ryan Budney | Allen Hatcher | Representations of Mapping Class Groups via Topological Constructions | ||
| Alan Robert Demlow | Lars Wahlbin | Estimates for and Properties of Mixed Finite Element Methods for Elliptic Problems | ||
| Ferenc Gerlits | Karen Vogtmann | Invariants in Chain Complexes of Graphs | ||
| Leah Gold | Michael Stillman | Homological Results in Commutative Algebra | ||
| Geoffrey Christopher Hruska | Karen Vogtmann | Nonpositively Curved Spaces with Isolated Flats | ||
| Suzanne Lynch Hruska | John Smillie | Hyperbolicity in the Complex Henon Family | ||
| Swapneel Mahajan | Kenneth Brown | Shuffles and Shellings via Projection Maps | ||
| Joseph Miller | Anil Nerode | Co-computably Enumerable Classes in Computable Analysis and Topology | ||
| David Revelle | Laurent Saloff-Coste | Random Walks on Solvable Groups | ||
| May 2002 | ||||
| Student | Advisor | Dissertation | ||
| Sarah Agnes Spence | Dextor Kozen and Stephen Wicker | Subspace Subcodes and Generalized Coset Codes | ||
| August 2001 | ||||
| Student | Advisor | Dissertation | ||
| David Anthony Brown | John Hubbard | Using Spider Theory to Explore Parameter Spaces | ||
| Kathryn Louise Nyman | Louis Billera | Enumeration in Geometric Lattices and the Symmetric Group |