Recent Ph.D. Recipients

(Click on a student's name to see his/her dissertation abstract.)

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    
Aaron Solo   Lars Wahlbin    
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

Nathanael Berestycki

   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
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

Last modified:September 25, 2007