An Eulerian Tour

Chris Barwick (aka optionsScalper) is a fan of Euler and tracked down my academic legacy back to Euler and Gauss through many other great mathematicians. Of course the same legacy applies to the many theoretical computer scientists who descend from Manuel Blum.

• Lance Jeremy Fortnow was a student of Sipser
  Awarded: 1989. Dissertation: Complexity-Theoretic Aspects of Interactive Proof Systems
• Michael Fredric Sipser was a student of Blum (1938-)
  Awarded: 1980. Dissertation: Nondeterminism and the Size of Two-Way Finite Automata
• Manuel Blum was a student of Minsky (1927-)
  Awarded: 1964. Dissertation: A Machine-Independent Theory of the Complexity of Recursive Functions
• Marvin Lee Minsky was a student of Tucker
  Awarded: 1954. Dissertation: Theory of Neural-Analog Reinforcement Systems and Its Application to the Brain Model Problem
• Albert William Tucker was a student of Lefschetz (1884-1972)
  Awarded: 1932. Dissertation: An Abstract Approach to Manifolds
• Solomon Lefschetz was a student of Story
  Awarded: 1911. Dissertation: On the Existence of Loci with Given Singularities
• William Martin Story was a student of Carl Gottfried Neumann (1832-1925) and Klein (1849-1925)
  Awarded: 1875. Dissertation: On the Algebraic Relations Existing Between the Polars of a Binary Quantic
• Felix Christian Klein was a student of Julius Plücker (1801-1868) and Lipschitz (1832-1903)
  Awarded: 1868. Dissertation: Über die Transformation der allgemeinen Gleichung des zweiten Grades zwischen Linien-Koordinaten auf eine kanonische Form
• Rudolf Otto Sigismund Lipschitz was a student of Dirichlet (1805-1859) and Martin Ohm
  Awarded: 1853. Dissertation: Determinatio status magnetici viribus inducentibus commoti in ellipsoide
• Gustav Dirichlet was a student of Poisson (1781-1840) and Joseph Fourier (1768-1830)
  Awarded: 1827. Dissertation: Partial Results on Fermat's Last Theorem, Exponent 5
• Simeon Poisson was a student of Lagrange (1736-1813)
  Awarded: Unknown. Dissertation: Unknown.
• Joseph Lagrange was a student of Leonhard Euler (1707-1783)
  Awarded: Unknown. Dissertation: Unknown.

Also some Gauss starting at Klein and progressing through Plücker.

• Felix Christian Klein was a student of Plücker (1801-1868) and Rudolf Otto Sigismund Lipschitz (1832-1903)
  Awarded: 1868. Dissertation: Über die Transformation der allgemeinen Gleichung des zweiten Grades zwischen Linien-Koordinaten auf eine kanonische Form
• Julius Plücker was a student of Christian Gerling
  Awarded: 1823. Dissertation: Generalem analyeseos applicationem ad ea quae geometriae altioris et mechanicae basis et fundamenta sunt e serie Tayloria deducit
• Christian Gerling was a student of Johann Carl Friedrich Gauß (Gauss) (1777-1855)
  Awarded: 1812. Dissertation: Methodi proiectionis orthographicae usum ad calculos parallacticos facilitandos explicavit simulque eclipsin solarem die

Notes from Barwick:

1. My sources are various in print and online, but they originate from The Mathematics Genealogy Project.
2. Little is known of William Edward Story and Albert William Tucker and their lives.
3. Martin Ohm is the brother of Georg Simon Ohm, for whom Ohm's Law is named.
4. I find it interesting that Klein was awarded his doctorate the year of Plücker's death. Klein was Plücker's assistant for nearly three years.
5. It had been believed, but not shown that Carl Gottfried Neumann was advised by Georg Friedrich Bernhard Riemann. Neumann was, in fact, advised by Otto Hesse and F. Richelot. Hesse was also a friend of Neumann's father, Franz. Many modern mathematicians mistakenly trace their roots through Neumann to Riemann and Gauss. Riemann received his doctorate in 1851 at Göttingen. Riemann was subsequently awarded a post at Göttingen by Gauss in 1851 to allow Riemann to study for his Habilitation. Riemann delivered his lecture to earn the Habilitation under Gauss in 1854. Gauss died the following year (Dirichlet was given his chair). Carl Gottfried Neumann was awarded his doctorate in 1855 at Königsberg.