The sixties were a period of extraordinary growth at Cornell and in US higher education in general. It was also the period of the Vietnam War protests on Campuses and of the racial tensions that led to the occupation of Willard Straight in 1969. Â
Before 1960, 161 Ph.D.s were awarded in mathematics at Cornell. Between 1940 and 1959, the average number of doctorates was a very steady 3 per year. Seventy-three Mathematics Ph.D.s were awarded at Cornell in the sixties, twenty-one during the first half of the decade and fifty-two during the second half. Eight Ph.D.s were earned by women. Twenty two faculty supervised at least one Ph.D. during this period. The most active were Anil Nerode (11), Peter Hilton and Alex F.T.W. Rosenberg (6), Jack Kiefer (5) Israel Berstein, Wolfgang Fuchs and Gerald Sacks (4). Remarkably, Sacks is also one of the students who received their Ph.D. during this period. The year 1965 was the first during which more than 10 doctorates were awarded.
Title: The Generalized Whitehead Product. Advisor: Peter Hilton and Paul Olum. Career: Dartmouth College.
Alan Gustave Konheim
Title: Some Properties of a Class of Finite Trigonometric Sums. Advisor: Mark Kac. Career: IBM; Computer Sciences at University of California Santa Barbara.
Samuel Kotz
Title: Exponential Bounds for the Probability of Error in Discrete Memoryless Channels. Advisor: Jacob Wolfowitz. Career: University of Toronto; Temple University; University of Maryland; Operations Research Department at George Washington University. Fellow of the Institute of Mathematical Statistics and of the Royal Statistical Society.
Title: Contribution to Perceptron Theory. Advisor: Mark Kac. Career: unknown.
Title: On a Two-Parameter Family of Summation Methods. Advisor: Ralph Agnew. Career: Taiwan, National Tsing Hua University.
Title: On Suborderings of Degrees of Recursive Insolvability. Advisor: John Barkley Rosser. Career: Cornell, Massachusetts Institute of Technology; Harvard University. Supervised over 30 Ph.D.s and has over 500 mathematical descendants. Speaker at the 1970 International Congress in Nice. The Sacks Prize is awarded annually by the Association for Symbolic Logic for the most outstanding doctoral dissertation in mathematical logic.
Title: Normal Dilations. Advisor: Morris Schreiber. Career: Lehman College, City University of New York.
Title: On Commutators in Certain Lie Algebras. Advisor: Israel N. Herstein. Career: University of Colorado, Boulder.
Title: On the Operator Equation AX=XB. Advisor: Morris Schreiber. Career: University of Illinois, Urbana Champaign; Institute of Defense Analyses.
Title: On the Exact Calculation of the Partition Function of one dimensional Systems. Advisor: Mark Kac. Career: Boeing Company, Aerospace Group.
Title: Tabulation of Transcendental Functions by the Continued Fraction of Gauss. Advisor: John Barkley Rosser. Career: Computer Industry.
Title: Higher Order Whitehead Products. Advisor: William Browder Career: University of Pennsylvania.
Title: Modular Annihilator Algebras. Advisor: Robert A. Bonic. Career: University of Oregon.
Title: On the Admissibility of Invariant Estimators of Location Parameters.
Advisor: Jack Kiefer. Career: University of California Berkeley; Cornell; Rutgers University; Wharton School, University of Pennsylvania; President of the Institute for Mathematical Statistics; Fellow of the American Academy of Arts and Sciences; member of the National Academy of Sciences. Speaker at the 2002 International Congress of Mathematicians in Beijing.
Title: Commutator Product in Function Spaces. Advisor: Israel Berstein. Career: Wellesley College.
Title: KSC*(X), An Extraordinary Cohomology Theory. Advisor: Israel Berstein and William Browder. Career: University of Maryland.
Title: On Secondary Operations in Homotopy and Homology. Advisor: Peter Hilton. Career: National Taiwan University.
Title: Generalized Homology with Continuous Coefficients. Advisor: Israel Berstein. Career: University of Missouri, St. Louis.
Title: Some Strong Laws for Random Walks and Brownian Motion. Advisor: Frank Spitzer. Career: unknown.
Title: Partial Recursive Operators on Recursively Closed Sets. Advisor: Anil Nerode. Career: Computer Science at Pace University.
Title: Pi-Manifolds and Homotopy Type of Manifolds. Advisor: William Browder. Career: DePaul University.
Title: Generalized Quadrangles and (B,N) Pairs. Advisor: Walter Feit. Career: University of Arizona, National Security Agency.
Title: Contributions to Metarecursion Theory. Advisor: Gerald Sacks. Career: IBM.
Title: Topics in Recursion Theory: 1. The Co-simple Isols 2. Creative Sets. Advisor: Anil Nerode. Career: Mount Holyoke; University of Illinois at Chicago. Founding member of the Association for Women in Mathematics. The AWM has established the Louise Hay Award for Contributions to Mathematics Education.
Title: On Finite Groups with a Subgroup Containing the Normalizer of Each of Its Nonunit Elements. Advisor: Walter Feit. Career: Tel Aviv University.
Title: Asymptotic Efficiency of the Maximum Likelihood Estimator. Advisor: Jacob Wolfowitz. Career: Cornell Aeronautical Laboratory.
Title: Higher Order Indecomposable Isols. Advisor: Anil Nerode. Career: University of California, San Diego.
Title: On Amitsur Cohomology. Advisor: Alex F.T.W. Rosenberg. Career: Howard University.
Title: The Existence and Uniqueness of Positive Solutions to the Wiener-Hopf Equation with Positive Kernel. Advisor: Frank Spitzer. Career: Lehman College of the the City University of New York.
Title: A Comparison of Two Functors in Homological Algebra. Advisor: Peter Hilton. Career: Carleton University.
Title: Church-Rosser Theorem. Advisor: Anil Nerode and John Barkley Rosser. Career: Adelphi University.
Title: Wiman-Valiron Theory for Entire Functions of Several Variables. Advisor: Wolfgang Fuchs. Career: University of Southern California.
Title: Operational Calculus and Related Topics. Advisor: Gilbert Hunt. Career: University of Washington; Lawyer specializing in Tax law in San Francisco.
Title: A Galois Theory for Separable Algebras. Advisor: Alex F.T.W. Rosenberg. Career: State University of New York at Albany.
Title: An Integral Tauberian Theorem and Other Topics. Advisor: Wolfgang Fuchs. Career: Purdue University.
Title: Topological Convex Spaces. Advisor: James Eells. Career: Université de Montréal.
Title: Singular Integrals on Hilbert Space. Advisor: Leonard Gross. Career: University of Montana.
Title: Integrated Risk of Asymptotically Bayes Sequential Tests and Some Essentially Complete Class Results. Advisor: Jack Kiefer. Career: California Institute of technology.
Title: Topics in Metarecursion Theory. Advisor: Gerald Sacks. Career: University of Maryland.
Title: The Inclusion Lattice and Degrees of Unsolvability of the Recursively Enumerable Sets. Advisor: Gerald Sacks. Career: Computer Science, University of Georgia.
Title: Recursive Functions of Arguments of Finite Type. Advisor: Anil Nerode. Career: Rutgers Univeristy.
Title: Properties of Invariant Multivariate Tests. Advisor: Jack Kiefer. Career: Defense Research and Engineering.
Title: The Distribution of Values of Functions Defined by Gap Power Series. Advisor: Wolfgang Fuchs. Career: Northern Illinois University.
Title: Investigations in the Structure of the Upper Semi-lattice of Hyperdegrees. Advisor: Gerald Sacks. Career: Simon Fraser University.
Title: On the Groups of the Homotopy Classes of the Stable Maps Between Z2-Moore spaces. Advisor: Peter Hilton. Career: Purdue University.
Title: Topics in Asymptotic Estimation Using Order Statistics. Advisor: Jack Kiefer. Career: Purdue University; President of the American Statistical Association (1998).
Title: A Nonlinear System of Differential-Difference Equations. Advisor: Wolfgang Fuchs. Career: University of Hartford.
Title: An Almost Everywhere Direct Product. Advisor: Anil Nerode. Career: York University.
Title: Derived Functors, a Theorem of Harrison, and the Fundamental Group. Advisor: Stephen Chase. Career: Queen’s University.
Title: A Fundamental Solution of the Parabolic Equation on Hilbert Space. Advisor: Leonard Gross. Career: University of Buffalo.
Title: Recursion Theory on Dedekind Cuts, Advisor: Anil Nerode. Career: University of Chicago. Speaker at the International Congress of Mathematicians in Helsinki in 1978.
Title: Some Contributions to the Study of Spectral Sequences. Advisor: Peter Hilton. Career: Oakland University, Michigan.
Title: Algebraic K-Theory for Projective Modules with Quadratic Form. Advisor: Stephen Chase. Career: University of Puerto Rico; NSF.
Title: Optimal and Efficient Design of Experiments. Advisor: Jack Kiefer. Career: University of California Davis; Statwood Consulting.
Title: Some Results in The Theory of Recurrent Random Walk. Advisor: Harry Kesten. Career: Wagner Math Finance.
Title: Homology Theories and Duality of Functors. Advisor: Peter Hilton. Career: University of Ottawa.
Title: Resolutions of Singularities in Prime Characteristic for Almost All Primes. Advisor: James Ax. Career: University of California, Irvine.
Title: k-mersions of Manifolds. Advisor: Israel A. Berstein. Career: Yale University.
Title: Amitsur Cohomology and an Exact Sequence Involving Pic and the Brauer Group. Advisor: Alex F.T.W. Rosenberg. Career: Oakland University; New Mexico State University; DefTec Corporation.
Title: On ABA-Groups of Finite Order. Advisor: Alex F.T.W. Rosenberg and Daniel Gorenstein. Career: Tufts University.
Title: Cohomology of Pro-finite Groups with Continuous Coefficients. Advisor: Alex F.T.W. Rosenberg. Career: University of Iowa.
Title: Recursive Functions Modulo Co-maximal Sets. Advisor: Anil Nerode. Career: University of Connecticut.
Title: Fredholm Manifolds and Cohomology. Advisor: James Eells. Career: University of California Los Angeles, Indian Statistical Institutes in Delhi and Calcutta; Composer, Sarod player, Hindustani classical music.
Title: Generic Embeddings. Advisor: Anil Nerode. Career: Michigan State University.
Title: On Age-Dependent Branching Processes. Advisor: Harry Kesten. Career: Developer of the Statistical package Minitab.
Title: Omega-Cohesive Sets. Advisor: Anil Nerode. Career: Minitab.
Title: Cech Cohomology and a Dimension Theory for Commutative Rings. Advisor: Alex F.T.W. Rosenberg. Career: The University of Tennessee.
Title: Schwarz's Lemma and the Maximum Principle in Infinite Dimensional Spaces. Advisor: Clifford Earle. Career: University of Kentucky.
Title: The Motion of a Heavy Particle in an Infinite One-Dimensional Diffusions. Advisor: Frank Spitzer. Career: University of Colorado, Boulder.
Title: Uses of Self-Reference in Arithmetic. Advisor: Anil Nerode. Career: Carnegie Melon University; Georgia Institute of Technology.
Title: Manifolds of Maps. Advisor: James Eells. Career: Northeastern University.
Title: Convexity and Differential Inequalities in Hilbert Space. Advisor: Larry Payne. Career: Iowa State University.
Title: Group Cohomologies for Hopf Algebras and Other Categories. Advisor: Stephen Chase. Career: NSF.