Mathematics research has a long and rich history. For some reason
mathematicians like to trace their mathematical lineage
(represented by teachers). Mine is given below, and you can find
a visual representation in SVG.
- My Ph.D. advisor was in 1981 under Paul T. Bateman in Illinois.
- Bateman's PhD was in 1947 under Hans Rademacher at the
University of Pennsylvania.
- Rademacher's PhD was in 1916 under Constantin
Carathéodory in Göttingen.
- Carathéodory's PhD was in 1904 under Hermann
Minkowski in Göttingen. (see Göttingen history page on Carathéodory).
He also studied with David Hilbert at Göttingen.
- Minkowski's PhD was in 1885 under C. L. Ferdinand
Lindemann in Königsberg.
Albert Einstein studied under Minkowski.
- Lindemann's PhD was in 1873 under C. Felix Klein in Nürnberg.
- Klein received his PhD in 1868 in Bonn. He is known to have two advisors: Julius Plücker
and Rudolf Lipschitz (1853, Berlin, Germany)
- Plücker's PhD was in
1823 under Christian Ludwig Gerling in Marburg, Germany.
- Gerling's PhD was in 1812 under Carl Friedrich Gauß
in Göttingen, Germany.
- Gauß's PhD was in 1799 under Johann Friedrich Pfaff
in Helmstedt, Germany.
- Pfaff's PhD was in 1786 under Abraham Gotthelf Kaestner in
- Kaestner's PhD was in 1739 under Christian August Hausen
in Leipzig, Germany)
- Hausen's PhD was in 1713 under Christian Andreas Siber in
- Siber's PhD was in 1682 in Wittenberg, Germany. His advisor is apparently
- Lipschitz's PhD was in 1853 in Berlin. He had two advisors:
Gustav Dirichlet and Martin Ohm.
- Dirichlet's PhD was in 1827 in Bonn. He had two advisors:
Simeon Poisson and Jean-Baptiste Fourier.
- Poisson's PhD was under Joseph Lagrange.
- Fourier's PhD. was also also under Lagrange.
- Lagrange's PhD was under Leonhard Euler
- Euler's PhD was in 1726 under Johann Bernoulli in Basel.
- Bernoulli's PhD was in 1694 under his brother, Jacob Bernoulli. His
advisor was unknown.
- Ohm's PhD was in 1811 under Karl von Langsdorf in