This section gives the complete chronological list of the people who earned a doctorate in mathematics at Cornell between 1940 and 1959 included. The list is organized by periods of 5 years. Sixty Ph.D.s were awarded during this period at a very steady average of about 3 per year (only 5 went to women).
This was a very successful time for the Cornell Mathematics Graduate Program. It corresponds to the renaissance of the department during and after WWII. Mary Dolciani, Irving Reiner, Murray Rosenblatt, Joanne Elliott, Steven Orey, Daniel Ray, Jean-Pierre Meyer, Louis De Branges and Harry Kesten graduated during this period, and the most active advisors were Mark Kac (16), John Barkley Rosser (8), Ralph Agnew, Burton W. Jones and Harry Pollard (6) and William Feller (5).
Title: A Comparison of Linear Measures in the Plane. Advisor: John Adam Fitz Randolph. Career: University of Chicago; staff engineer, military operations research division of the Lockheed Aircraft Corporation; Indiana University where he Seymour Sherman Memorial Lecture Series are held.
Title: Regular Ternary Quadratic Forms. Advisor: Burton W. Jones. Career: Massachusetts Institute of Technology. Author of "Thomas Caculus" first published by Addison-Wesley in 1951 as "Calculus and Analytic Geometry". The book is still in use at many Institutions and High Schools, including at Cornell.
Title: A Study of Certain Functions Auxiliary to Brun's Method in Number Theory. Advisor: John Barkley Rosser. Career: Allegheny Ballistics Lab in Cumberland, Md.; Cornell, Pennsylvania State University and at North Carolina State University.
Title: Some Properties of Caratheodory and Gillespie Linear Measure. Advisor: John A. F. Randolph. Career: Co-authored papers with Dunford and Besicovitch and taught at Cornell until 1946.
Title: Some Applications of Uniformity Trials. Advisor: John H. Curtiss. Career: Williams College; On June 8, 1942, Wray was sworn in as a civilian junior cryptanalyst with the Navy. He became a cryptologist. After the war, he worked for the newly created Armed Forces Security Agency which later became the National Security Agency. His services were recognized posthumously by The Exceptional Civilian Service Award. A road at Fort Meade is named after him.
Title: Certain Applications of Fourier Integrals. Advisor: Mark Kac. Career: Houghton College.
Title: Direct Product and Lorentz Matrices. Advisor: James Wallace Givens. Career: Temple University; Purdue University; The American Optical Company; Executive Director of the American Mathematical Society.
Title: Generalizations of Continued Fractions. Advisor: Ralph Agnew. Career: Lebanon Valley College.
Title: Congruence of Quadratic Forms over Valuation Rings Advisor: Burton W. Jones. Career: at Mount Holyoke College. Son of Walter H. Durfee (Ph.D. 1930) and father of A. H. Durfee (Ph.D. 1971). Grandson of William Pitt Durfee, Johns Hopkins Mathematics Ph.D. 1883.
Title: A Set of Axioms for Logic. Advisor: John Barkley Rosser. Career: Lehigh University.
Title: On the Average Number of Roots of Certain Random Functions. Advisor: Mark Kac. Career: University of Missouri at Rolla.
Title: Some Applications of Fourier Analysis and Calculus of Probability to the Study of Real Roots of Algebraic Equations. Advisor: Mark Kac. Career: Hydrocarbon Research, Inc.
Title: Asymptotic Distributions of Sums of Rademacher Functions and of Cosines with Big Gaps. Advisor: Mark Kac. Career: Lafayette College.
Title: Summability of the Geometric Series. Advisor: Ralph Agnew. Career: The University of Illinois, Urbana–Champaign.
Title: On the Representation of Integers by Quadratic Form. Advisor: Burton W. Jones. Career: Vassar College; Hunter College, City University of New York, Dean for Academic Development at The City University of New York. he Mathematical Association of America building in Washington D.C. is named The Dolciani Mathematical Center in her honor.
Title: Sufficient Conditions for the Modelling of Axiomatic Set Theory. Advisor: John Barkley Rosser. Career: Rutgers University; Applied Physics Laboratory, MD.
Title: On the Distribution of Values of Number-Theoretic Functions. Advisor: Burton W. Jones and Mark Kac. Career: University of Michigan; Executive director of the American Mathematical Society.
Title: Limit Theorems in the Theory of Probability. Advisor: Mark Kac. Career: Southern Illinois University.
Title: A Generalization of Meyer’s Theorem. Advisor: Burton W. Jones Career: University of Illinois at Urbana Champaign (married Irma Moses).
Title: Derivation of Criteria for the First Case of Fermat's Last Theorem and the Combination of These Criteria to Produce a New Lower Bound for the Exponent. Advisor: John Barkley Rosser. Career: Rochester University.
Title: On the Asymptotic Behavior of the Minimum in a Sequence of Random Variables. Advisor: William Feller. Career: National Defense Research Institute.
Title: Summability of Diagonal Series Formed from the Terms of Double Series. Advisor: Ralph Agnew. Career: Sweet Briar College.
Title: On the Representation, in the Ring of P-Adic Integers, of a Quadratic Form in N Variables By One in M Variables. Advisor: Burton W. Jones. Career: Temple University; University of Illinois, Urbana-Champaign (married Irving Reiner).
Title: Abel Transforms and Partial Sums of Tauberian Series. Advisor: Ralph Agnew. Career: Director, Westinghouse Learning Corporation.
Title: On the Sum of Independent Random Variables. Advisor: William Feller. Career: Xiamen University (previously, National Amoy University).
Title: Relations Among the Weierstrass Methods of Summability. Advisor: Ralph Agnew. Career: University of Pittsburgh.
Title: On Distributions of Certain Weiner Functionals. Advisor: Mark Kac. Career: Brown University, Indiana University and the University of California San Diego; Fellow of the Institute of Mathematical Statistics, American Association for the Advancement of Science and the American Mathematical Society. Member of the National Academy of Science.
Title: On the Random Vibrations of Harmonically Bound Particles in a Viscous Medium. Advisor: Mark Kac. Career: Rensselaer Polytechnic Institute.
Title: The Solution of a Linear Differential Equation of Parabolic Type. Advisor: William Feller. Career: Goucher College, California State University Northridge. Married Robert Steinberg.
Title: The Mean Convergence of Orthogonal Series. Advisor: Harry Pollard. Career: Los Alamos National Laboratory; University of California Los Angeles, University of California Berkeley, the University of New Mexico, and Southern Methodist University. His Alma Mater, University of Rochester, organizes the G. Milton Wing Lecture Series.
Title: On Some Singular Integral Equations of the Cauchy Type. Advisor: Harry Pollard. Career: Rutgers University.
Title: Several Limiting Laws of the Komogorov-Smirnov Type. Advisor: Mark Kac. Career: University of Massachusetts, Amherst.
Title: On a Singular Diffusion Equation. Advisor: William Feller. Career: Oberlin College; Program Officer for the Sloan Foundation.
Title: On the Distribution of Eigenvalues of Kernels and Matrices. Advisor: Mark Kac. Career: unknown.
Title: Some Third Order Boundary Value Problems. Advisor: William Feller. Career: Iowa State University.
Title: Studies in the Heat Equation. Advisor: Harry Pollard. Career: University of Syracuse.
Title: Invariant Integrals over a Banach Space. Advisor: Bertram Yood. Career: SUNY New Paltz.
Title: Abstract Parametrization of an Elliptic Curve. Advisor: Robert Walker. Career: Hobart and William Smith Colleges.
Title: Cross Sections in Fibre Bundles. Advisor: Paul Olum. Career: unknown.
Title: Transformations on Banach Spaces. Advisor: Bertram Yood. Career: University of Maryland.
Title: A Study of Extremal Value Problems of Functions Regular in Annulus. Advisor: Wolfgang Fuchs. Career: Rensselaer Polytechnic Institute.
Title: Formal Development of Ordinal Number Theory and Applications to Consistency Proofs. Advisor: John Barkley Rosser. Career: University of Minnesota.
Title: On Spectra of Second Order Differential Operators. Advisor: Mark Kac. Career: Massachusetts Institute of Technology.
Title: Classification of Mappings of a Three-Dimensional Complex into a Two-Dimensional Projective Space. Advisor: Paul Olum. Career: Johns Hopkins University.
Title: A Class of Measure Preserving Transformations. Advisor: Mark Kac. Career: Union College; Senior Scientist at IBM.
Title: The Modeling of Zermelo Set Theories in New Foundations. Advisor: John Barkley Rosser. Career: The University of Wisconsin.
Title: On the Distribution of Eigenvalues of the Equation: Integral of A(S-T) PHI (T) with Respect to T Between Lower Limit -A and Upper Limit A=Rho (Integral of B(S-T)). Advisor: Mark Kac. Career: Cross is known as Abdulalim A. Shabazz. Clark Atlanta University; Presidential Award for Excellence in Science, Mathematics and Engineering Mentoring.
Title: The Independence of the Axiom of Choice. Advisor: John Barkley Rosser. Career: Queens College of the City University of New York.
Title: Transforms of Tauberian Series by Riesz Methods of Different Orders. Advisor: Ralph Agnew. Career: Co-author with Harry Pollard of "Ordinary Differential Equations", now a Dover Books on Mathematics.
Title: An Extended Markov Property. Advisor: Gilbert Hunt. Career: University of Washington.
Title: A Problem of Rosser and Trucquette in Many Valued Logic. Advisor: Lisl Gaal. Career: The Ohio State University and Rhodes College in Memphis.
Title: Asymptotic Distributions of Stochastic Approximation Procedures. Advisor: Jack Kiefer. Career: Northwestern University; Rutgers University; University of Illinois at Urbana Champaign; Director of the National Institute of Statistical Sciences.
Title: Local Operators on Fourier Transforms. Advisor: Harry Pollard. Career: Purdue University. Famous for his 1984 proof of the long-standing Bieberbach conjecture, now called de Branges' theorem; Plenary speakers at the 1986 International Congress of Mathematicians in Berkeley;1989 Ostrowski Prize; 1994 Leroy P. Steele Prize for seminal contribution to research.
Title: The Third Obstruction in Complex Projective Spaces. Advisor: Paul Olum. Career: University of Rochester.
Title: Symmetric Random Walks on Groups. Advisor: Mark Kac. Career: Cornell University. Speaker at the International Congress of Mathematicians in Nice (1970) and Warsaw (1983) and a plenary speaker in Beijing in 2002; Brouwer Medal; the Leroy Steele Prize for Lifetime Achievement; George Pólya Prize. Fellow of the American Academy of Arts and Sciences; member of the National Academy of Sciences; correspondent member of the Royal Dutch Academy of Sciences.
Title: Inversion of a Function with the Kernel [[(1+|x-y|)^2][c^2+|x-y|^2 ]]^( -1). Advisor: Harry Pollard. Career: Western Michigan University.
Title: Topics in Discrete Convolution Transforms. Advisor: Harry Pollard. Career: Drexel Institute of Technology.
Title: Sojourn Time for Stable Processes. Advisor: Mark Kac. Career: University de Montréal.
Title: Matrices over Polynomial Rings. Advisor: Israel N. Herstein. Career: Syracuse University.
Title: A Preliminary Investigation of the Infinitely-Many-Valued Predicate Calculus. Advisor: John Barkley Rosser. Career: Research scientist at IBM; Involved in the development of the “pointing stick”, a distinctive feature of the ThinkPad.