Mathematical Ancestry



 
 
 

Jacob Bernoulli

Johann Bernoulli, 1694

Leonhard Euler, Ph.D. Universität Basel 1726

Joseph Louis Lagrange

Simeon Denis Poisson

Michel Chasles, Ph.D. École Polytechnique 1814

H. A. (Hubert Anson) Newton, B.S. Yale University 1850

E. H. (Eliakim Hastings) Moore, Ph.D. Yale University 1885

  • Extensions of Certain Theorems of Clifford and Cayley in the Geometry of n Dimensions
George David Birkhoff, Ph.D. University of Chicago 1907
  • Asymptotic Properties of Certain Ordinary Differential Equations with Applications to Boundary Value and Expansion Problems
Robert Daniel Carmichael, Ph.D. Princeton University 1911
  • Linear Difference Equations and their Analytic Solutions
Harold Meade Mott-Smith, Ph.D. University of Illinois at Urbana-Champaign 1933
  • Certain Integral Transformations Connected with the Summation Problem
Richard James Duffin, Ph.D. University of Illinois at Urbana-Champaign 1935
  • Galvanomagnetic and Thermomagnetic Phenomena
Raoul H. Bott, Ph.D. Carnegie-Mellon University 1949
  • Electrical Network Theory
Stephen Smale, Ph.D. University of Michigan 1957
  • Regular Curves on Riemannian Manifolds
Christian A. Hausen, Ph.D. Wittenberg, 1713
  • Animaduerfa quaedam in demonftrationem Exiftentiae Dei
Anraham Gotthelf Kaestner, Ph.D. Universität Leipzig 1739

Johann Friedrich Pfaff, Göttingen University 1788

  • Programma inaugurale in quo peculiarem differentialia investigandi rationem ex theoria functionum deducit
Johann Carl Friedrich Gauss, Ph.D. University of Helmstedt 1799
  • Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse
Georg Friedrich Bernhard Riemann, Ph.D. Universität Göttingen 1851
  • Grundlagen für eine allgemeine Theorie der Funktionen einer veränderlichen complexen Größe
Carl Gottfried Neumann, Ph.D. Universität Königsberg 1856
  • De problemate quodam mechanico, quod ad primam classem integralium ultraellipticorum revocatur
William Edward Story, Ph.D. Universität Leipzig 1875
  • On the Algebraic Relations Existing Between the Polars of a Binary Quantic
Solomon Lefschetz, Ph.D. Clark University 1911
  • On the Existence of Loci with Given Singularities
Norman E. Steenrod, Ph.D. Princeton University 1936
  • Universal Homology Groups
Edwin Henry Spanier, Ph.D. University of Michigan 1947
  • Cohomology Theory for General Spaces
Morris William Hirsch, Ph.D. University of Chicago 1958 (had 2 advisors)
  • Imersions of Manifolds
William Mark Goldman, Ph.D. University of California, Berkeley 1980
  • Discontinuous Groups and the Euler Class
Richard J. Brown, Ph.D. University of Maryland College Park 1996
  • Mapping Class Actions on the SU(2)-Representation Varieties of Compact Surface