Following the record 117 mathematics doctorates awarded at Cornell during the previous decade, only sixty one were awarded from 1980 to 1989. Thirteen went to women.
Thirty three faculty supervised at least one Ph.D.s during this decade. Anil Nerode (6) and John Hubbard (5) were the most active, followed by Louis Billera, Kenneth Brown, Marshall Cohen, Leonard Gross, Stephen Lichtenbaum, Lawrence Payne, Alex F.T.W. Rosenberg and Richard Shore (3).
In 1986, the Mathematical Science Institute was created under the leadership of Geoffrey Ludford, Professor of Theoretical and Applied Mathematics, and with the help of Charlie Van Loan (Computer Science), Lars Wahlbin (Mathematics), and Narahari Prabhu (OR-IE). It was supported for ten years by a grant from Army Research Office.
Title: Completely Aspherical 2-Complexes. Advisor: Marshall Cohen. Career: Owner and President of Network Computing Associates, Ltd.
Title: Boundary Behaviour of Limits of Discrete Series Representations. Advisor: Anthony Knapp. Career: Washington University in St. Louis.
Title: The Classical Limits of P([phi]) Quantum Field Theories. Advisor: Leonard Gross. Career: The Cavendish Laboratory, Cambridge, UK.
Title: Estimation of the Posterior Density of a Location Parameter. Advisor: Lawrence Brown. Career: Brown University, School of Public Health.
Title: First Order Expressibility as a Complexity Measure. Advisors: Anil Nerode and Juris Hartmanis. Career: University of Massachusetts Amherst.
Title: On Supercuspidal Representations of the Metaplectic Group. Advisor: Stephen Gelbart. Career: Institute of Advanced Study; Karus-Alterman Corporation.
Title: On some geometrical problems in Teichmuller and Torelli spaces. Advisor: Clifford Earle. Career: The Institute of Mathematical Sciences, Chennai. 1998 Shanti Swarup Bhatnagar Prize for Science and Technology.
Title: On Continuous Galois Cohomology. Advisor: Shankar Sen. Career: Moravian College.
Title: Euler Manifolds and Stiefel-Whitney Homology Classes. Advisor: Peter Kahn. Career: University of Zagreb.
Title: Computations in Group Cohomology for Finite Groups. Advisor: Kenneth Brown. Career: National Institute of Standards and Technology.
Title: Recursive Aspects of Real Closed Fields. Advisor: Anil Nerode. Career: Senior Software Engineer, IBM.
Title:L-functions of Jacobi-sum Hecke characters. Advisor: Stephen Lichtenbaum. Career: Stockholm University.
Title:Isometric Embeddings of Manifolds with Boundary. Advisor: Richard Hamilton and Roger Livesay. Career: Navigation and Mission Design Section, Jet Propulsion Laboratory.
Title: Advisor: Stephen Lichtenbaum. Career: Westchester Community College.
Title: On the Effective Content of the Theory of Modules. Advisor: Anil Nerode. Career: Escuela Colombiana de IngenierĂa.
Title: On the Convergence of the Boundary Element Method. Advisor: Lars Wahlbin. Career: Community College of Baltimore County.
Title: Homological Dimension and Farrell Cohomology. Advisor: Kenneth Brown. Career: Millersville University of Pennsylvania.
Title: On Equivalences of Branched Coverings and Their Action on Homology. Advisor: Israel Berstein. Career: University of Georgia.
Title: Non-Recursiveness in Euclidean and Integral Domains. Advisor: Anil Nerode. Career: Computer Consultant, NYC.
Title: Facial Enumeration in Polytopes, Spheres and Other Complexes. Advisor: Louis Billera. Career: University of Kansas.
Title: Pulling Apart Simplexwise Linear Near-Embeddings of a 2-Disk in R^2, Advisor: David Henderson. Career: Bard College.
Title:Shake-Slice Knots. Advisor: Peter Kahn. Career: Université du Québec à Montréal.
Title: Self - Duality of Integer Rings as Galois Modules. Advisor: Stephen Chase. Career: Marianopolis College.
Title: Recurrence and Transience Criteria and a Limit Law for Generalized Random Walk in a Random Environment. Advisor: Harry Kesten. Career: University of Wisconsin-Milwaukee.
Title: Some Properties of a Special Class of Self Similar Processes. Advisor: Harry Kesten. Career: National University of Singapore Singapore.
Title: Trace Constructions in alpha-Recursion Theory. Advisor: Richard Shore. Career: University of Melbourne; Insureware.
Title: The Real-Algebraic Structure of Scott's Model of Intuitionistic Analysis. Advisor: Anil Nerode. Career: Wesleyan University.
Title: Grothendieck Groups of Dihedral and Quaternion Group Rings. Advisor: Kenneth Brown. Career: Dartmouth College.
Title: Recursive Topology in Euclidean Space. Advisor: Anil Nerode. Career: State University of New York, Purchase.
Title: An Explicit 2^n-th Reciprocity Law. Advisor: Shankar Sen. Career: Penn State University, Brandywine Campus.
Title:Simon-Lieb Inequality for Phi-4 Theory in Two Dimensions. Advisor: Eugene Dynkin and Leonard Gross. Career: Temple University.
Title: Turing and Truth-table Degrees of 1-Generic and Recursively Enumerable Sets. Advisor: Richard Shore. Career: Loyola University, Chicago.
Title: Subdivision and Enumeration in Balanced Complexes. Advisor: Louis Billera. Career: Miami University, Ohio.
Title: Spaces of Signatures. Advisor: Alex F.T.W. Rosenberg. Career: Spelman College.
Title:Finite Constructable Spaces of Signatures. Advisor: Alex F.T.W. Rosenberg. Career: Emory University.
Title: The Dirichlet Principle and Finite Energy Solutions of the Discrete Dirichlet Problem. Advisor: Eugene Dynkin. Career: Project Engineer, MDA.
Title: Arithmetic Degrees: Initial Segments, omega-REA Operators and the omega-Jump. Advisor: Richard Shore. Career: Xerox Corporation; Founding President of LG Electronics Research Center of America (LGERCA), now Trivet Digital.
Title: Game Theoretic Models of Coalition Formation and Power in Legislatures. Advisor: William Franklin Lucas. Career: Head of the Reinsurance Group, AQR Capital Management, LLC.
Title: Continuous Dependence on Modeling in the Cauchy Problem for Second-Order Nonlinear Partial Differential Equations. Advisor: Lawrence Payne. Career: Vice President and Portfolio Manager at Farmington Asset Management Ltd.
Title:Convergence of the Four-Dimensional U(1) Lattice Gauge Theory to Its Continuum Limit. Advisor: Leonard Gross. Career: University of California, San Diego.
Title: On Stabilizing Ill-Posed Problems for Partial Differential Equations under Perturbations of the Geometry of the Domain. Advisor: Lawrence Payne. Career: University of the Western Cape; Director of International Relations; President of the African Mathematical Union 1999-2004.
Title: A Coefficient Determination Problem for the Wave Equation. Advisor: Lawrence Payne. Career: University of Delaware.
Title: On the Homology of GL_2 of a Field. Advisor: Stephen Lichtenbaum. Career: University College, Dublin.
Title: Representations of knot groups in SU(2). Advisor: Marshall Cohen. Career: Florida State University.
Title: Complex Horseshoes and the Dynamics
of Mappings of Two Complex Variables. Advisor: John Hubbard. Career: Indiana State University; Marshall University.
Title: Gaps in Scott Ranks. Advisor: Michael Morley. Career: XOX Corporation.
Title: On the Equivariant Homotopy Type of Compact G-ANR's. Advisor: James West. Career: Senior Actuarial Scientist at SAS Institute.
Title: On the Bifurcation Loci of Rational Maps of Degree Two. Advisor: John Hubbard. Career: Staff Scientist, Massachusetts General Hospital Center for Cancer Research.
Title: The Real Spectrum of Higher Level of a Commutative Ring. Advisor: Alex F.T.W. Rosenberg. Career: West Virginia University.
Title:The Integral Cohomology of Out_+(F_3). Advisor: Marshall Cohen and Karen Vogtmann. Career: Dublin City University.
Title: The Generic Rigidity of Minimal Cycles. Advisor: Robert Connelly. Career: Musician, Marymount Manhattan College.
Title: The Combinatorics of Newton's Method for Cubic Polynomials. Advisor: John Hubbard. Career: unknown.
Title: Pseudo-Isotopies of Irreducible Three-Manifolds. Advisor: Allen Hatcher. Career: unknown (associated with Dartmouth College).
Title: Attracting and Repelling Point Pairs for Vectorfields on Manifolds. Advisor: David Henderson. Career: Lecturer, University of Wisconsin.
Title: The Structure of Modules of Splines over Polynomial Rings. Advisor: Louis Billera. Career: Bard College.
Title: Stochastic Epidemic in a Large Population. Advisor: Richard Durrett. Career: Senior Principal Engineer at Autodesk.
Title: Changing the Order of Critical Points of Polynomials Using Quasiconformal Surgery. Advisor: John Hubbard. Career: unknown.
Title:The Classification of Critically Preperiodic Polynomials. Advisor: John Hubbard. Career: National Security Agency.
Title: A Unified Asymptotic Minimax Theory for Nonparametric Density Estimation and Nonparametric Regression. Advisor: Lawrence Brown. Career: Wharton School of the University of Pennsylvania.
Title: Equilibrium Behavior of the Sexual Reproduction Process. Advisor: Richard Durrett. Career: Lawrence University; Senior Consulting Actuary at Towers Watson, Seattle, Washington.
Title: Theory of Multilevel Methods. Advisor: James Bramble. Career: Pennsylvania State University.