Cornell Mathematics Doctorates, 2000-2009
In 1999, after having occupied White Hall for most of its existence, the department move to Malott Hall, the former home of the Johnson School named after Deane Waldo Malott, the sixth president of Cornell University (1951-1963). Malott Hall's north wing was build in 1963 (Architects: Warner, Burns, Toan & Lunde). The south wing (annex) was added in 1977 (Architects: Levatich, Miller & Hoffman). The architectural drawing pictured here (1975) is from John Clair Miller and Alex Krueger, for the addition project. John Clair Miller is Professor Emeritus in the College of Architecture, Arts and Planning.
Ninety nine doctorates were awarded during the first decade of the twenty-first century. From 2000 to 2006, the graduate program was supported in part by a Vertical Integration of Research and Education in the Mathematical Sciences (VIGRE) grant from the Division of Mathematical Sciences at the National Science Foundation. The goal of this program was "to increase the number of well-prepared U.S. citizens, nationals, and permanent residents who pursue careers in the mathematical sciences". The NSF phased-out the VIGRE program by the end of the decade. Thirty five faculty supervised graduate students during this decade. The most active were Anil Nerode and Laurent Saloff-Coste (7), Louis Billera, Kenneth Brown and Mike Stillman (6), Leonard Gross, John Hubbard and Lars Wahclbin (5), and Jose Escobar, Richard Shore and Karen Vogtmann (4).
2000 (4 doctorates)
Title: Warped Cohomology. Advisor: Birgit Speh. Career: National Institute of Standards and Technology.
Title: Derived Categories of Twisted Sheaves on Calami-Yau Manifolds. Advisor: Mark Gross. Career: University of Wisconsin, Madison.
Title: Incipient Infinite Clusters in 2D Percolation. Advisor: Harry Kesten. Career: University of Bath.
Walker McMillan White
Title: Characterizations for Computable Structures. Advisor: Richard Shore. Career: Director, Game Design Initiative at Cornell (Computer Science).
2001 (8 doctorates)
Henrique Morais Araujo
Title: On the Total Scalar Curvature Plus Total Mean Curvature Functional. Advisor: Jose Escobar. Career: Universidade Federal de Pernambuco.
David Anthony Brown
Title: Using Spider Theory to Explore Parameter Spaces. Advisor: John Hubbard. Career: Ithaca College.
Title: Recursive Models of Modal Logics. Advisor: Anil Nerode. Career: New York City College of Technology and The Brooklyn Institute for Social Research.
Title: Construction of Markov Partitions for Linear and Nonlinear Automorphisms of Tori. Advisor: John Guckenheimer. Career: Researcher at Campbell & Co.
Title: A Diagrammatic Formal System for Euclidean Geometry. Advisor: David Henderson. Career: University of Northern Colorado.
Title: Enumeration in Geometric Lattices and the Symmetric Group. Advisor: Louis Billera. Career: Willamette University.
Title: Linear Inequalities for Flag f-vectors of Polytopes. Advisor: Louis Billera. Career: Juanita College.
Title: On the Bellows Conjecture. Advisor: Robert Connelly. Career: Kutztown University of Pennsylvania.
2002 (10 doctorates)
Sarah Spence Adams
Title: Subspace Subcodes and Generalized Coset Codes. Advisor: Dexter Kozen. Career: Olin College of Engineering.
Title: Representations of Mapping Class Groups via Topological Constructions. Advisor: Allen Hatcher. Career: University of Victoria.
Title: Estimates for and Properties of Mixed Finite Element Methods for Elliptic Problems. Advisor: Lars Wahlbin. Career: Texas A&M University.
Title: Invariants in Chain Complexes of Graphs. Advisor: Karen Vogtmann Career: Renyi Institute, Budapest; Morgan Stanley, Budapest.
Jennifer (Suzanne) Lynch Hruska Boyd
Title: On the Numerical Construction of Hyperbolic Structures for Complex Dynamical Systems. Advisor: John Smillie. Career: University of Wisconsin, Milwaukee.
Title: Nonpositively Curved Spaces with Isolated Flats. Advisor: Karen Vogtmann. Career: University of Wisconsin, Milwaukee.
Title: Shuffles and Shellings via Projection Maps. Advisor: Kenneth Brown. Career: Indian Institute of Technology Bombay, Mumbai.
Title: Co-ce Classes in Computable Analysis and Topology. Advisor: Anil Nerode. Career: University of Wisconsin, Madison.
Title: Random Walks on Solvable Groups. Advisor: Laurent Saloff-Coste. Career: Senior Instructor at The Infinite Actuary.
Leah Stella (Gold)
Title: Some Homological Results in Commutative Algebra. Advisor: Michael Stillman Career: Cleveland State University.
2003 (4 doctorates)
Rebecca Shuller Borbely
Title: A Theory of Multitask Learning for Learning from Disparate Data Sources. Advisor: Anil Nerode. Career: CyberPoint International, Md.
Title:Mapping Class Subgroups of Automorphism Groups of Free Groups. Advisor: Karen Vogtmann. Career: University of Wisconsin, Stout.
Title:Peak Quasisymmetric Functions and Flag Enumeration in Eulerian Posets. Advisor: Louis Billera. Career: Bard College.
Fernando Coda Marques
Title: Existence and Compactness Theorems on Conformal Deformation of Metrics. Advisor: Jose Escobar. Career: Princeton University. Speaker at the 2010 International Congress of Mathematicans in Hyderabad. Plenary speaker at the 2014 International Congress of Mathematicians in Seoul.
2004 (13 doctorates)
Title:Thompson's Group F. Advisor: Kenneth Brown. Career: Bard College.
Title: The Mathematics of Ecological Competition. Advisor: Richard Durrett. Career: Ohio State University.
Title: On the LP Spectrum of the Hodge Laplacian and Logarithmic Sobolev Inequalities on Non-Compact Manifolds. Advisor: Jose Escobar and Leonard Gross. Career: University of Cyprus.
Title: Unitary Representations of Exceptional p-adic Groups. Advisor: Dan Barbasch. Career: University of Oxford.
Title: On the Ricci Flow in Rotationally Symmetric Manifolds with Boundary. Advisor: Jose Escobar. Career: University of Toledo.
Title: Hilbert Functions and Graded Free Resolutions. Advisor: Michael Stillman. Career: Oklahoma State University.
Title: Double Jump Inversions and Strong Minimal Covers in the Turing Degrees. Advisor: Richard Shore. Career:
Title: The Role of True Finiteness in the Admissible Recursively Enumerable Degrees. Advisor: Richard Shore. Career: Victoria University of Wellington.
Title: Least-Squares Methods for Second-Order Elliptic Partial Differential Equations. Advisor: Lars Wahlbin. Career: Oklahoma State University.
Title: Pointwise Weighted Error Estimates for Parabolic Finite Element Equations. Advisor: Lars Wahlbin. Career: University of Connecticut.
Title: Equivariant Symplectic Hodge Theory and Strong Lefschetz Manifolds. Advisor: Reyer Sjamaar. Career: Georgia Southern University.
Title: Shift Techniques and Multicover Inequalities on Colored Complexes. Advisor: Louis Billera. Career: National Security Agency.
Harrison Huibin Zhou
Title: Minimax Estimation With Thresholding and Asymptotic Equivalence for Gaussian Variance Regression. Advisor: J.T. Gene Hwang and Michael Nussbaum. Career: Yale University, Statistics.
2005 (14 doctorates)
Title: Applications of Stress Theory: Realizing graphs and Kneser-Poulsen. Advisor: Robert Connelly. Career: Bard College.
Title:Phase Transitions for the Distance of Random Walks and Applications to Genome Rearrangement. Advisor: Rick Durrett and Jean-Francois Legall. Career: University of Cambridge.
Jose Trujillo Ferreras
Title: The Random Walk Loop Soup and the Expected Area of the Brownian Loop in the Plane. Advisor: Gregory Lawler. Career: Quantitative Financial Analyst (Model Validation) at Bank of America Merrill Lynch.
Title: The Number of Sites Visited by a Random Walk on an Infinite Graph. Advisor: Laurent Saloff-Coste. Career: Instructor, The Infinite Actuary.
Title: Horseshoes in the Forced van der Pol Equation. Advisor: John Guckenheimer. Career: Director, Credit Suisse.
Title: Lifting -Dimensional Galois Representations. Advisor: Ravi Ramakrishna. Career: McDaniel College.
Title: The Horn Theory of Relational Kleene Algebra. Advisor: Dexter Kozen. Career: Union College; Finance (Jane Street Capital, NY).
Title: Hypercontractivity in Non-Commutative Holomorphic Spaces. Advisor: Leonard Gross. Career: University of California San Diego.
Title: Beyond the Arithmetic. Advisor: Richard Shore. Career: University of California, Berkeley. Speaker at the 2014 International Congress of Mathematician in Seoul.
Title: Topology for the Basins of Attraction of Newton's Method in Two Complex Variables. Advisor: John Hubbard. Career: Indiana University, Purdue University indianapolis.
Title: Realistic No Arbitrage Condition. Advisor: Philip Protter. Career: Durham University.
Title: Scalar Curvature Problems on Manifolds with Boundary. Advisor: Leonard Gross, Richard Schoen and Jose Escobar. Career: University of Tennessee.
Title: Semantic Investigations of Linear Logic. Advisor: Anil Nerode. Career: Higher School of Economics, Moscow.
Title: Shelling The Coset Poset. Advisor: Kenneth Brown. Career: Mississippi State University.
2006 (13 doctorates)
Title: Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups. Advisor: Louis Billera. Career: University of Miami.
Title: Angle Sums on Polytopes and Polytonal Complexes. Advisor: Louis Billera. Career: Houghton College; Juanita College.
Title: The Cutoff Phenomenon for Finite Markov Chains. Advisor: Laurent Saloff-Coste. Career: National Chiao Tung University, Taiwan.
Title: On the Holonomy of the Coulomb Connection over 3-Manifolds with Boundary. Advisor: Leonard Gross. Career: Muhlenberg College.
Title: Building Infinite Ray-Class Towers with Specific Signatures and Small Bounded Root Discriminant. Advisor: Ravi Ramakrishna. Career: NSA, James Madison University.
Title: Lexicographic Ideals. Advisor: Michael Stillman. Career: Oklahoma State University Stillwater.
Title: Four- and Six-Dimensional Nilmanifolds and Symplectic Forms. Advisor: Reyer Sjamaar. Career: Unknown.
Title: Heat Kernels on Euclidean Complexes. Advisor: Laurent Saloff-Coste. Career: Roosevelt University.
Title: The Face Semigroup Algebra of a Hyperplane Arrangement. Advisor: Kenneth Brown. Career: Universié du Québec à Montréal.
Title: Results in Computational Algebra of Bayesian Networks. Advisor: Michael Stillman. Career: unknown.
Title: Properties of Brownian and Random Walk Loop Soups. Advisor: Gregory Lawler. Career: unknown.
Title:Intersection Exponents for Random Walks on Cylinders. Advisor: Gregory Lawler. Career: DigiPen.
Title: Compensators of Stopping Times. Advisor: Philip Protter. Career: Quantitative Analyst, VP, State Street Corporation.
2007 (12 doctorates)
Title: Isoperimetric Constants and Self-Avoiding Walks and Polygons on Hyperbolic Coveter Groups. Advisor: Kenneth Brown. Career: Lander University.
Title: Coexistence of Contact Processes. Advisor: Richard Durrett. Career: Director, Operational Risk Quantification at American Express.
Title: The Calogero-Moser Correspondence for Noncommutative Deformations of Kleinian Singularities. Advisor: Yuri Berest. Career: Sichuan University.
Title: Heat Kernel Estimates for Inner Uniform Subsets of Harnack-type Dirichlet Spaces. Advisor: Laurent Saloff-coste. Career: American Express (Risk Management).
Title: The Trace Map and Galois Module Structure of Rings of Integers for Absolutely Abelian Number Fields. Advisor: Ravi Ramakrishna. Career: University of Exeter.
Title: Asymptotic Behavior of Convolutions of Centered Density on Lie Group of Polynomial Volume Growth. Advisor: Laurent Saloff-Coste. Career: Banking Industry.
Title: Aspects of the Finite Element Method for Elliptic Partial Differential Equations. Advisor: Lars Wahlbin. Career: Executive Director - Equities Strategies at Goldman Sachs.
Title: New Generic Properties of Real and Complex Dynamical Systems. Advisor: Yulij Ilyashenko. Career: Interest rate risk manager at HSBC.
Title: On Some Classes of Borel Fixed Ideals and their Cellular Resolutions. Advisor: Michael Stillman. Career: unknown.
Title: Finite Element Methods for Elliptic and Parabolic Problems with Low Regularity Boundary Data. Advisor: Lars Wahlbin. Career: Quantitative research associate for Susquehanna International Group.
Title: Monomial Resolutions and the Cox Rings of Del Mezzo Surfaces. Advisor: Michael Stillman. Career: Universidad de los Andes.
Title: A Fatou Theorem for a Class of Quasi-linear Elliptic Partial Differential Equations. Advisor: Leonard Gross. Career: The Johns Hopkins University Applied Physics Laboratory.
2008 (10 doctorates)
Title: Representing Processes as Update Automata and Transducers. Advisor: Anil Nerode. Career: unknown.
Title: Update Transducers and Linear Recurrence Equations over Semirings. Advisor: Anil Nerode. Career: CUNY York College.
Title: Free Resolutions of Monomial Ideals. Advisor: Irena Peeva. Career: Industry.
Title: A New Link between Teichmüller Theory and Complex Dynamics. Advisor: John Hubbard. Career: University of Michigan.
Title: Algorithms and Classification in Groups of Piecewise-Linear Homeomorphisms. Advisor: Kenneth Brown and Martin Kassabov. Career: Universidade Estadual de Campinas, Brazil.
Title: Computability and Complexity Properties of Automatic Structures and Their Applications. Advisor: Anil Nerode. Career: Computer Science and Engineering Department, University of California San Diego.
Title: Using Tree Automata to Investigate Intuitionistic Propositional Logic. Advisor: Richard Shore. Career: Jane Street Capital.
Title: Poset Convex-Ear Decompositions and Applications to the Flag h-Vector. Advisor: Edward Swartz. Career: Oklahoma State University.
Title: End-point Estimates and Multi-parameter Paraproducts on Higher Dimensional Tori. Advisor: Camil Muscalu. Career: Practice Manager at The Advisory Board Company.
Title: Merging of Some Time Homogeneous and Inhomogeneous Markov Chains. Advisor: Laurent Saloff-Coste. Career: Relevance at LinkedIn.
2009 (11 doctorates)
Title: Flat Structures and Complex Structures in Teichmüller Theory. Advisor: John Hubbard. Career: Pepperdine University.
Title: Rapid evolution of complex limit cycles. Advisor: Yulij Ilyashenko. Career: Technische Universitat Berlin.
Title: Group-Valued Implosion and Conjugation Spaces. Advisor: Reyer Sjamaar. Career: Georgia Southern University.
Title: Degree Subcomplexes of Auter Space and Ribbon Graph Complexes. Advisor: Karen Vogtmann. Career: Stockton University.
Title: Monodromy And Hénon Mappings. Advisor: John Hubbard. Career: Software Developer.
Title: On Branching Laws of Representations from GL_4(F) to Sp_4(F). Advisor: Brigit Speh. Career: Le Moyne College.
Title: On the p-Class Groups of the Pure Number Field Q(N1/p) and its Galois Closure Q(N1/p, ζp). Advisor: Ravi Ramakrishna. Career: Quantitative Analyst, Citi.
Title: Geometric Flows on Manifolds with Boundary. Advisor: Leonard Gross. Career: The University of Queensland.
Title: Foliations for Quasi-Fuchsian 3-Manifolds. Advisor: William Thurston. Career: Queensborough Community College.
Title: Automata, Representations, and Proofs. Advisor: Dexter Kozen and Anil Nerode. Career: unknown.
Title: Decision Approach and Shrinkage Confidence Intervals. Advisor: J.T. Gene Hwang and Michael Nussbaum. Career: Temple University.