My Advising Genealogy

(Sources: The Mathematics Genealogy Project and the MacTutor History of Mathematics archive)

• Brian Howard (Stanford University, 1992), Fixed Points and Extensionality in Typed Functional Programming Languages
• John Mitchell (Massachusetts Institute of Technology, 1984), Lambda Calculus Models of Typed Programming Languages
• Albert Meyer (Harvard University, 1972), On Complex Recursive Functions
• Patrick Fischer (Massachusetts Institute of Technology, 1962), Theory of Provable Recursive Functions
• Hartley Rogers, Jr. (Princeton University, 1952), Some Results on Definability and Decidability in Elementary Theories
• Alonzo Church (Princeton University, 1927), Alternatives to Zermelo's Assumption
• Oswald Veblen (The University of Chicago, 1903), A System of Axioms for Geometry
• Eliakim Moore (Yale University, 1885), Extensions of Certain Theorems of Clifford and Cayley in the Geometry of n Dimensions
• Hubert Anson Newton (Yale University, 1850). The MGP extends the line further back from Newton to Michel Chasles, although Newton only received a B.S. at Yale before starting to teach there. It is possible that Chasles was influential as a mentor to Newton, but I have not seen the evidence of this. Chasles' advisor was Siméon-Denis Poisson, and his advisor was Joseph-Louis Lagrange, both at the École Polytechnique in Paris. Lagrange studied at the College of Turin, but started out in a law career. When he switched to mathematics, he began a correspondance with Leonhard Euler, so the MGP identifies Euler as Lagrange's advisor (but again, this was not a formal "student-advisor" relation). From Euler, the MGP takes the line back two more steps, to Johann Bernoulli and then to his older brother, Jacob Bernoulli, all at the Universität Basel.