Cornell Mathematics Doctorates, 1990-1999
The Mathematical Science Institute (1986-1997) was supported for ten years by a grant from the Army Research Office. The four designated areas of research in the Institute were applied analysis, physical mathematics, numerical analysis and statistics and applied probability. For most of the institute existence (1987-1997), Anil Nerode served as Director.
On October eight 1998, to everyone surprise, a large Pumpkin was discovered at the top of McGraw tower. It remained there until the next spring.
Ninety three doctorates were awarded during this decade including sixteen to women. After the swings of the previous two decades, the annual rate of 9 to 10 per year became the norm. Thirty nine faculty supervised Ph.D.s during the period. The most active advisors were Richard Durrett (12 students) followed by Leonard Gross (9), Anil Nerode (6), Allen Hatcher (5), and Kenneth Brown, John Hubbard, Richard Shore, Roberts Strichartz and Karen Vogtmann (4).
1990 (16 doctorates)
Title: Essential Laminations in Seifert-Fibered Spaces. Advisor: Allen Hatcher. Career: University of Nebraska at Lincoln.
Title: Invariants of Virtual Lattices over Group Rings with Applications to Galois Module Structure. Advisor: Stephen Chase. Career: University of Ottawa.
Title: On the Vector-Scalar Potential Formulation of the Three Dimensional Eddy Current Problem. Advisor: James Bramble. Career: President and General Manager of BG Group China (Oil & Gas).
Title: Holomorphic Motions and Teichmüller Space. Advisor: Clifford Earle. Career: Dresdner Kleinwort, Commerzbank; Alto Energy, LLC.
Title: The Convergence of the U(1) Gauge Theory on Random Lattices in Three Dimensions. Advisor: Leonard Gross. Career: Managing Director at Royal Bank of Scotland - RBS Global Banking & Markets.
Title: Relating Kripke Models and Realizability. Advisor: Anil Nerode. Career: Wesleyan University.
Title: High-Dimensional Annihilating Branching Random Walks. Advisor: Richard Durrett. Career: Sr. Director, Biostatistics at Celgene.
Title: Cyclic Homology of an Exact Category. Advisor: Daniel Grayson and Stephen Lichtenbaum. Career: University of Illinois at Urbana Champaign.
Title: Ergodic Theorems for the Multitype Contact Process. Advisor: Richard Durrett. Career: University of Minnesota. Speaker at the 2010 International Congress of Mathematicians in Hyderabad.
Title: Convergence Properties of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation. Advisor: Lars Wahlbin. Career: University of Virginia; George Mason University;Director of Financial Engineering at Fannie Mae.
Title: Convergence of Power Series Invariants for Families of P-adic Galois Representations. Advisor: Shankar Sen. Career: Arizona State University; Merrimack College, MA.
Title: The Yang-Mills Measure for the Two-Sphere. Advisor: Leonard Gross. Career: Louisiana State University.
Title: Constructive Modal Logics. Advisor: Anil Nerode. Career: George Mason University.
Title: Game Theoretic Semantics for Concurrent Programs and Their Specifications, Advisor: Anil Nerode. Career: The College at Brockport (SUNY Brockport).
Title: Concurrent Programs, Calculus of State Strategies, and Gureviuch-Harrington Games. Advisor: Anil Nerode. Career: Vice President and Chief Scientist at STILMAN ADVANCED STRATEGIES LLC.
Title: A Power Law for Connectedness of Some Random Graphs at the Critical Point. Advisor: Harry Kesten. Career: University of Colorado, Colorado Springs.
1991 (8 doctorates)
Title: On the Essential Self-Adjointness of Dirichlet Operators on Non-Linear Path Space. Advisor: Leonard Gross. Career: Universidad Nacional de Colombia, Bogota.
Title: Geodesics and Curvature in Metric Simplicial Complexes. Advisor: Karen Vogtmann. Career: Oxford University. Speaker at the 2006 International Congress of Mathematicians in Madrid.
Title: Mathematical Theory of the Barotropic Model in Geophysical Fluid Dynamics. Advisor: Jerrold Marsden. Career: National Tsing-Hua University, Taiwan.
Title:First Passage Percolation on a Poisson Lattice. Advisor: Richard Durrett. Career: Stetson University, Florida.
Title: Degrees of Random Sets. Advisor: Richard Shore. Career: Iowa State University.
Title: Eigenvalue and Heat Kernel Estimates for the Weighted Laplacian on a Riemannian Manifold. Advisor: Robert Strichartz. Career: Università degli Studi dell'Insubria.
Title: Harmonic Functions on Manifolds of Nonnegative Ricci Curvature. Advisor: Richard Durrett. Career: Director of Fusion Applications Architecture, Oracle Corporation.
Title: Groups of Piecewise Linear Homeomorphisms. Advisor: Kenneth Brown. Career: Trinity College.
1992 (11 doctorates)
Title: Signed Sequences and Rolle's Restrictions: Why Not All Real Differentiable Functions and Polynomials Satisfying Rolle's Theorem Are Constructible. Advisor: Moss Sweedler. Career: Kent State University; ?
Title: Essential Laminations in Knot Complements. Advisor: Allen Hatcher. Career: Eastern Illinois University.
John Darroch Faught
Title: Local Connectivity in a Family of Cubic Polynomials. Advisor: John Hubbard. Career: Chief Actuary at Swiss Re, South Africa.
Title: Explicit Weight Two Motivic Cohomology Complexes and Algebraic K-Theory. Advisor: Stephen Lichtenbaum. Career: Senior Engineer, Mercedes-Benz Research & Development North America.
Title: The Regularity of Solutions to the Heat Equation Over Group-Valued Path Space. Advisor: Leonard Gross. Career: Banking and Finance.
Title: Rewriting Systems for Coxeter Groups. Advisor: Kenneth Brown. Career: University of Nebraska, Lincoln.
Title: Endomorphisms of Negatively-Curved Polygonal Groups. Advisor: Kenneth Brown. Career: Lafayette College.
Title: Combinatorial Structure on the Hilbert Scheme. Advisor: Michael Stillman and Peter Kahn. Career: Institute for Defense Analyses, Center for Computing Science.
Title: Construction Taut Laminations. Advisor: Allen Hatcher. Career: Washington University in St Louis.
Title: Special Values of L-Functions of Curves Over Finite Fields. Advisor: Stephen Lichtenbaum. Career: unknown.
Title: Priority Arguments and Reverse Mathematics. Advisor: Richard Shore. Career: National University of Singapore.
1993 (8 doctorates)
Title: The Bargmann-Segal "Coherent State" Transform for Compact Lie Groups. Advisor: Leonard Gross. Career: University of Notre Dame
Title: The Semistability at Infinity for Multiple Extension Groups. Advisor: Kenneth Brown. Career: Wilkes University, PA.
Jenny Xiaoe Li
Title: Optimal Monetary Policy. Advisor: Karl Shell and Jerry Lloyd Bona. Career: Pennsylvania State University.
Title: On Semi-Linear Representations over Local Fields. Advisor: Shankar Sen. Career: Universidade do Porto.
Title: On Path Properties of Superdiffusions. Advisor: Eugene Dynkin. Career: National Chiao Tung University, Taiwan.
Title: A Combinatorial Geometry of the Whitehead Torsion of Finite Abelian Groups. Advisor: Keith Dennis. Career: National University of Singapore.
Linda Hong Zhao
Title: Frequentist and Bayesian Aspects of Some Nonparametric Estimation Problems. Advisor: J. T. Gene Hwang. Career: The Wharton School University of Pennsylvania.
Title: A Matrix for Computing the Jones Polynomial of a Knot. Advisor: Allen Hatcher. Career: Lafayette College.
1994 (8 doctorates)
Title: Poisson Approximations to Continuous Security Market Models. Advisor: Richard Durrett. Career: Risk Management, Ernst & Young; Frankfurt School of Finance & Management.
Title: Regularized Models of Phase Transformation in One-Dimensional Nonlinear Elasticity. Advisor: Philip Holmes. Career: Florida Atlantic University.
Title: A Note On Greedy Lattice Animals. Advisor: Harry Kesten. Career: Yonsei University, South Korea.
Title: Optimal Drift on the Unit Interval. Advisor: Richard Durrett. Career: Actuary with Bolton Partners, Inc.
Lawrence Kwan Ho Ma
Title: Quasisymmetric Conjugacy of Degree N Critical Circle Map. Advisor: John Hubbard. Career: National University of Singapore;?
John W. Parker
Title: Band-Limited Wavelets With Rotational Symmetry. Advisor: Robert Strichartz. Career: unknown.
Title: Internal Addresses in the Mandelbrot Set and Irreducibility of Polynomials. Advisor: John Hubbard. Career: Jacobs University Bremen.
Title: Finiteness and Compactness for the Family of Isospectral Riemannian Manifolds. Advisor: Robert Strichartz. Career: unkown.
1995 (7 doctorates)
Title: Normsets and Rings of Algebraic Integers. Advisor: Shankar Sen. Career: North Dakota State University.
John Paul Dalbec
Title: Geometry and Combinatorics of Chow Forms. Advisor: Bernd Sturmfels. Career: Software Specialist at Youngstown State University.
Title: A Computer Generated Proof for the Existence of Periodic Orbits for Three-Dimensional Vector Fields. Advisor: John Guckenheimer. Career: Director of Software Engineering at Oracle Corp.
Title: Combinatorics and Holomorphic Dynamics: Captures, Matings and Newton's Method. Advisor: John Hubbard. Career: Beacon Software Development Company.
Title: Algebraic and Combinatorial Methods for Face Enumeration in Polytopes. Advisor: Louis Billera. Career: Banking and Finance.
Title: Brownian Motion and Admissible Limits. Advisor: Richard Durrett. Career: Actuary, Financial Industry.
Title: On Assessment of Bioequivalence (Mean, Variance). Advisor: J.T. Gene Hwang. Career: Wright State University.
1996 (6 doctorates)
Title: Non-Normal Dynamics and Hydrodynamic Stability. Advisor: Lloyd Nicholas Trefethen. Career: University of Wisconsin-La Crosse.
Tianwen (Tony) Cai
Title: Nonparametric Function Estimation via Wavelets. Advisor: Lawrence Brown. Career: Wharton School of the University of Pennsylvania.
Title: Superconvergence Points in Locally Uniform Finite Element Meshes for Second Order Two-Point Boundary Value Problems. Advisor: Lars Wahlbin. Career: Director of Engineering at SAI Global Compliance.
Title: Splitting Assembly Maps for Arithmetic Groups With Large Actions At Infinity. Advisor: James West. Career: State University of New York at Albany.
Title: Polyhedral Decompositions and Solving Sparse polynomial systems. Advisor: Bernd Sturmfels. Career: Software Engineer at Google.
Thomas Albert Stiadle
Title: Algebraic K-thoery and Assembly for Complexes of Groups. Advisor: James West. Career: Wells College.
1997 (5 doctorates)
Title: Internal Categories and Quantum Groups. Advisor: Stephen Chase. Career: Texas A&M University; Cornell University.
Title: Finiteness Properties for Handlebody Mapping Class Groups. Advisors: Allen Hatcher. Career: Salisbury University, Md.
Title: The Heat Kernel Weighted Hodge Laplacian on Noncompact Manifolds. Advisor: Leonard Gross. Career: University of Alaska, Fairbanks.
Henry Koewing Schenck
Title: Homological Methods in the Theory of Splines. Advisor: Michael Stillman. Career: University of Illinois at Urbana Champaign.
Title: Predator Mediated Coexistence. Advisor: Richard Durrett. Career: Software Development Engineer, Amazon.com.
1998 (15 doctorates)
Title:Completeness of securities market models-an operator point of view. Advisor: Richard Durrett. Career: Died in 1997.
Title: Coexistence in a Two-Species Reaction Diffusion Process Using a Hydrodynamic Limit. Advisor: Richard Durrett. Career: Andrew Davidson & Co. Inc.
Title: Centralizers of Finite Subgroups of Automorphisms and Outer Automorphisms of Free Groups. Advisor: Karen Vogtmann. Career: Hamilton College, NY.
Title: Modal Logics for Continuous Dynamics. Advisor: Anil Nerode and Sergei Artemov. Career: The University of Melbourne.
Title: Holomorphic Functions and the Heat Kernel Measure on an Infinite Dimensional Complex Orthogonal Group. Advisor: Leonard Gross. Career: University of Connecticut.
Title: Cohomology of Aut(F(N)). Advisor: Karen Vogtmann. Career: University of New Orleans; St. Michael’s College, VT.
Min Jeong Kang
Title: Asymptotic Behavior of Solutions of One-Dimensional Parabolic Spde. Advisor: Richard Durrett. Career: North Carolina State University.
Title: Perturbation Theorems for Supercontractive Semigroups. Advisor: Leonard Gross. Career: Chulalongkorn University, Thailand.
Title: Short Time Behavior of Hermite Functions on Compact Lie Groups. Advisor: Leonard Gross. Career: Robert Morris University.
Title: On the Combinatorics of External Rays in the Dynamics of the Complex Hénon Map. Advisors: John Smillie. Career: Senior Software Engineer, Box.
Lisa Anne Orlandi-Korner
Title: Actions of Artin Groups and Automorphism Groups on Ir-Trees. Advisor: Karen Vogtmann. Career: Owner of Cotton Cradles.
Title: Local Theta Correspondence and Unrefined Minimal K-Types. Advisor: Dan Barbasch. Career: National Tsing Hua University.
David Reed Solomon
Title: Reverse Mathematics and Ordered Groups. Advisor: Richard Shore. Career: University of Connecticut.
Title: Spectral Analysis on Infinite Sierpinski Gaskets. Advisor: Robert Strichartz. Career: University of Connecticut.
Title: Computing Thom-Boardman Singularities. Advisor: John Guckenheimer. Career: Two Sigma Investments, LLC.
1999 (9 doctorates)
Title: Twisted Torsion on Compact Hyperbolic Spaces: a Representation-Theoretic Approach. Advisor: Birgit Speh. Career: Worcester State University.
Title: On Conformal Metrics On The Euclidean Ball. Advisor: Jose Escobar. Career: Universidad del Valle, Cali, Colombia.
Title: Hedging Options with Small Transaction Costs. Advisor: Richard Durrett. Career: Senior Consultant at Solum Financial, London.
Title: Degree Spectra of Relations on Computable Structures. Advisor: Richard Shore. Career: University of Chicago.
Title: Nonmonotic Logic: A Monotinic Approach. Advisor: Anil Nerode and Sergei Artemov. Career: Kenyon College.
Title: Teichmuller Theory and Holomorphic Motions. Advisor: Clifford Earle. Career: Queens College, City University of New York.
Title: Representations and Characters of an Extension of SL(3,R) by an Outer Automorphism. Advisor: Birgit Speh. Career: Senior Actuarial Manager at Aviva Canada.
Luis Miguel O'Shea
Title: Abelian Sesquisymplectic Convexity for Orbifolds. Advisor: Reyer Sjamaar. Career: Telecommunications Consultant, Mckinsey & Company.
David Mark Stephenson
Title: Asymptotic Density in an n-Threshold Randomly Coalescing and Annihilating Random Walk on the d-Dimensional Integer Lattice. Advisor: Harry Kesten. Career: eBay, Head of Business Analytics; Managing Director and Chief Data officer, DSI Analytics.