The first line
- Erhard Weigel (Leipzig, 1650) begat
- Gottfried Wilhelm Leibniz (Altdorf, 1666) begat
- Jacob Bernoulli (?) begat
- Johann Bernoulli (1694) begat
- Leonhard Euler (Basel, 1726) begat
- Joseph Lagrange (no PhD) begat
- Jean-Baptiste Joseph Fourier () and Siméon Denis Poisson1 (École Polytechnique, ?) jointly begat
- Gustav Peter Lejeune Dirichlet (Bonn, 1827).
The second line
- Otto Mencke (Leipzig, 1665) begat
- Johann Christoph Wichmannshausen (Leipzig, 1685) begat
- Christian August Hausen (Halle-Wittenberg, 1713) begat
- Abraham Gotthelf Kästner (Leipzig, 1739) begat
- Johan Friedrich Pfaff (Göttingen, 1786) begat
- Carl Friedrich Gauß (Helmstedt, 1799) begat
- Christian Gerling (Göttingen, 1812) begat
- Julius Plücker (Marburg, 1823).
The third line
Together, Dirichlet (line 1) and Ohm (line 3) begat
- Karl Christian von Langsdorf (Erfurt, 1781) begat
- Martin Ohm (Erlangen-Nürnberg, 1811).
- Rudolf Otto Sigismund Lipschitz (Berlin, 1853).
Lipschitz and Plücker (line 2) together begat
- Christian Felix Klein (Bonn, 1868) begat
- Carl Louis Ferdinand Lindemann (Erlangen-Nürnberg, 1873) begat
- Arnold Johannes Wilhelm Sommerfeld (Königsberg, 1891) begat
- Ernst Adolph Guillemin2 (München, 1926) begat
- Samuel J. Mason (MIT, 1952), who with Morris Halle (Harvard, 1955 - though he studied with Roman Jakobson at Columbia prior to his PhD) begat
- Francis Fan Lee (MIT, 1966; also a Hertz fellow) begat
- Jonathan Allen (MIT, 1968) begat
- Mitchell Marcus3 (MIT, 1977) begat
- Jason Eisner (U. Penn, 2001) begat
- Noah Smith (JHU, 2006).
1Amazingly, Poisson is my most recent common ancestor with my colleague William Cohen (see his genealogy here).
2Guillemin also begat Robert Mario Fano (MIT, 1947), who begat
the famous Frederick Jelinek (MIT, 1962).
3Marcus "begat" some other people I've worked with, including David Yarowsky (on my committee), Dan Melamed, and Eric Brill.