| Shared Root — common ancestor of both branches |
| Root |
1622 |
FL Friedrich Leibniz 1597–1652 |
Univ. Leipzig |
Professor of Moral Philosophy; father of Gottfried Leibniz |
|
1643 |
JT Jakob Thomasius 1622–1684 |
Univ. Leipzig |
Philosopher and jurist; mentor to Gottfried Leibniz |
|
1666 |
|
Univ. Leipzig |
Founded Acta Eruditorum (1682), Germany’s first scientific journal |
|
1685 |
JW J. C. Wichmannshausen 1663–1727 |
Univ. Leipzig |
Philosopher; dissertation on divorce according to natural law |
|
1713 |
CH Christian August Hausen 1693–1743 |
Halle-Wittenberg |
Mathematician and physicist; early research on electricity |
|
1739 |
AK Abraham G. Kästner 1719–1800 |
Leipzig → Göttingen |
Encyclopedic mathematician; branches into Pfaff (Gauss) and Euler lines |
| Euler Branch — via Lipschitz (2nd advisor to Felix Klein) |
| Euler |
1666 |
 Gottfried W. Leibniz ★ 1646–1716 |
Altdorf → Berlin · Hanover |
Co-inventor of calculus; logic; philosophy; 183,000+ academic descendants |
|
~1690 |
 Nicolas Malebranche 1638–1715 |
Paris, Oratory |
French philosopher & mathematician; doctoral advisor of Jacob Bernoulli |
|
1684 |
 Jacob Bernoulli 1655–1705 |
Univ. Basel |
Bernoulli numbers; probability theory; discovered constant e |
|
1694 |
 Johann Bernoulli 1667–1748 |
Basel → Groningen |
Calculus of variations; L’Hôpital’s rule; primary teacher of Euler |
|
1726 |
 Leonhard Euler ★ 1707–1783 |
Basel → St. Petersburg → Berlin |
Most prolific mathematician in history; introduced e, i, π notation |
|
~1754 |
 Joseph-Louis Lagrange ★ 1736–1813 |
Turin → Berlin → Paris |
Lagrangian mechanics; Lagrange multipliers; number theory |
|
~1800 |
 Jean-Baptiste Fourier ★ 1768–1830 |
École Normale, Paris |
Fourier series and transforms; heat equation; co-advisor to Dirichlet |
|
1800 |
 Siméon Denis Poisson ★ 1781–1840 |
École Polytechnique |
Poisson distribution; electrostatics; co-advisor to Dirichlet |
|
1827 |
 Gustav Dirichlet ★ 1805–1859 |
Bonn → Berlin → Göttingen |
Modern definition of function; Dirichlet series; analytic number theory |
|
1853 |
 Rudolf Lipschitz 1832–1903 |
Univ. Berlin → Bonn |
Lipschitz continuity; Clifford algebras; 2nd advisor to Felix Klein |
| Gauss Branch — via Plücker (1st advisor to Felix Klein) |
| Gauss |
1786 |
 Johann Friedrich Pfaff 1765–1825 |
Göttingen → Helmstedt |
Pfaffian differential systems; Gauss’s formal doctoral advisor |
|
1799 |
 Carl Friedrich Gauss ★ 1777–1855 |
Helmstedt → Göttingen |
“Prince of Mathematicians”; fundamental theorem of algebra; 127,000+ descendants |
|
1812 |
 Christian L. Gerling 1788–1864 |
Göttingen → Marburg |
Geodesy and astronomy; extensive correspondence with Gauss |
|
1823 |
 Julius Plücker 1801–1868 |
Marburg → Bonn |
Line geometry; analytic geometry; 1st (primary) advisor to Felix Klein |
| Both Branches Merge at Felix Klein |
| Merged |
1868 |
 Felix Klein ★ 1849–1925 |
Bonn → Erlangen → Göttingen |
Erlangen Program; Klein bottle; 68 PhD students; 87,000+ descendants |
|
1873 |
 Ferdinand von Lindemann ★ 1852–1939 |
Erlangen → Königsberg → Munich |
Proved π is transcendental (1882); also advised Hilbert and Minkowski |
|
1891 |
 Arnold Sommerfeld ★ 1868–1951 |
Königsberg → Munich |
Quantum physics; advised more Nobel Prize winners than any other supervisor |
| Electrical Engineering & Signal Processing Lineage |
| EE/DSP |
1926 |
 Ernst A. Guillemin ★ 1898–1970 |
Munich → MIT |
Network analysis and synthesis; IEEE Medal of Honor 1961 |
|
1948 |
DT David Fears Tuttle, Jr. 1914–? |
MIT → Stanford |
Network synthesis; authored classic textbooks; Stanford legend |
|
1952 |
 Ernest S. Kuh NAE 1928–2015 |
Stanford → UC Berkeley |
Circuit theory; electronic design automation; Berkeley EECS chair & Dean |
|
1962 |
 Sanjit K. Mitra NAE 1935–present |
UC Berkeley → UCSB |
Digital signal processing; 12 books, 240+ journal papers; IEEE Education Medal 2006 |
|
1982 |
 P. P. Vaidyanathan NAE 1954–present |
UCSB → Caltech |
Filter banks and multirate signal processing; IEEE Jack S. Kilby Medal 2024 |
|
1993 |
 Tsuhan Chen 1966–present |
Caltech → CMU → Cornell → NUS |
Computer vision; Chief Scientist of AI Singapore; ~30 patents |
| Current Generation |
| Present |
2014 |
 Ruogu Fang |
Cornell → FIU → Univ. Florida |
Associate Professor, Pruitt Family Endowed Fellow, BME, UF; Director, SMILE Lab |