Donald Lab Graphic


Gauss Photo

Gauss was my Great8-grand Advisor:

Copernicus Photo


NB: There is some controversy about whether this lineage below goes back to Gauss, or to Copernicus, or to both. The genealogy tree changes every year or two as experts research and discuss this. I will provide one branch (to Gauss) below, although sometimes the Mathematics Genealogy page says the Copernicus branch is more likely. I would consult them for the latest opinion. See Ben Kuiper's page for a detailed argument that Gauss was my Great8-grand Advisor: i.e., Gauss was my great-great-great-great-great-great-great-great-grand Advisor. Since some ancestors have two advisors, Copernicus is there too.

From Eric Paulos's investigations:

"Seems like a silly thing but I was curious one day so I traced it back as far as I could. Updates to this as I learn more. Individuals are listed in the form (Name / Place of PhD / Date of PhD). I traced it by hand back to 1954 but through the genius of the Theory of Computation Ph.D. Genealogy Database and The TCS Genealogy I was able to go back to 1856. Very nice.

Things get really interesting because Franz Neumann was influenced by Euler and Kirchhoff was one of his students. Also, Carl Neumann was a friend of Ludwig Otto Hesse and studied Riemann surfaces."

Academic Lineage

Camerarius? / Tubingen / 1687
Christian August Hausen / Wittenberg Academy / 1713
Anraham Gotthelf Kaestner / Göttingen University / 1739
Johann Friedrich Pfaff
/ Göttingen University / 1788
Dissertation tite: Programma inaugurale in quo peculiarem differentialia investigandi rationem ex theoria functionum deducit
Johann Carl Friedrich Gauss
/ Brunswick Collegium Carolinum / 1799
Georg Friedrich Bernhard Riemann
/ Göttingen University / 1849
Carl Gottfried Neumann / University of Königsberg, Prussia / 1856
(Note: Carl was the son of Franz Neumann / Berlin / 1825)
William Edward Story / Leipzig / 1875
Solomon Lefschetz / Clark University, Worcester, MA / 1911
Albert Tucker / Princeton / 1932
Marvin Minsky / Princeton / 1954
Berthold Horn / MIT / 1970
Tomas Lozano-Perez / MIT / 1980
Bruce Donald / MIT / 1987
Former Ph.D. Students
Current Students

I have not constructed a lineage for my postdocs but that would be interesting to do.

(1) Since I did not do a postdoc, would I be the root of that tree?
(2) Are Ph.D. students of former postdocs considered `descendents'?
(3) If so, the relations postdoc1 and Ph.D1 do not commute, but in terms of closeness are they to be treated differently?
(4) Which is more closely related, a postdoc4 or a Ph.D.4 descendent?
(5) More generally, which is more closely related, a postdocn Ph.Dm, or a postdocm Ph.Dn, descendent?

Thesis Titles and Dates

AUTHOR: Horn, Berthold K. P.
TITLE: Shape from shading; a method for obtaining the shape of a smooth opaque object from one view.

AUTHOR: Lozano-Perez, Tomas.
TITLE: Spatial planning with polyhedral models

5 Marvin Minsky Degree Ph.D. [2,3,6], Mathematics [8]
Institution Princeton University [2,3,6,8]
Date 1954 [2,3,6]
Title Neural Nets and the Brain Model Problem (Theory of Neural-Analog Reinforcement Systems and Its Application to the Brain Model Problem [6])
Advisor Albert Tucker [2,3,8]*
6 Albert Tucker Degree Ph.D. [2,3], Mathematics
Institution Princeton University [2,3]
Date 1932 [2,3]
Title An Abstract Approach to Manifolds
Advisor Solomon Lefschetz [2,3]
7 Solomon Lefschetz Degree Ph.D. [2,3,6], Mathematics
Institution Clark University [2,3,6]
Date 1911 [2,3,6]
Title On the Existence of Loci with Given Singularities [6]
Advisor William Edward Story [2,3,6]
8 William Edward Story Degree Ph.D. [2,3,6]
Institution University of Leipzig [2,3,6]
Date 1875 [2,3,6]
Title On the Algebraic Relations Existing Between the Polars of a Binary Quantic [6]
Advisor Carl Gottfried Neumann [2,3,6]
9 Carl Gottfried Neumann Degree Ph.D. [2,3,6]
Institution University of Königsberg, Prussia [2,3,6]
Date 1856 [2,3,6]
Title De problemate quodam mechanico, quod ad primam classem integralium ultraellipticorum revocatur [6]
Advisor Georg Friedrich Bernhard Riemann [3]
10 Georg Friedrich Bernhard Riemann Degree Ph.D. [3,6]
Institution Göttingen University [3] (Georg-August-Universit?t Göttingen [6])
Date 1849 [3] (1851 [6])
Title Grundlagen f?r eine allgemeine Theorie der Funktionen einer ver?nderlichen complexen Gr??e [6]
Advisor Johann Carl Friedrich Gauss [3,6]
11 Johann Carl Friedrich Gauss Degree Ph.D. [3,4,6]
Institution University of Helmstedt [4,6] ([3] gives Brunswick Collegium Carolinum)
Date 1799 [3,4,6]
Title Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse [4,6]
Advisor Johann Friedrich Pfaff [3,4,6]
12 Johann Friedrich Pfaff Degree Ph.D. [6]
Institution Göttingen University [3]
Date 1788 [3]
Title Programma inaugurale in quo peculiarem differentialia investigandi rationem ex theoria functionum deducit [3]
Advisor Abraham Gotthelf Kaestner [3,4,6]
13 Abraham Gotthelf Kaestner Degree Doctorate [5] (Ph.D. [6]) **
Institution Universität Leipzig [4,5,6]
Date 1739 [4,5,6]
Advisor Christian August Hausen [4]
14 Christian August Hausen Degree Doctorate [5] ***
Institution Wittenberg Academy [4,5]
Date 1713 [4,5]
Title Animaduerfa quaedam in demonftrationem Exiftentiae Dei [4]
Advisor Rudolph Jakob Camerarius
15 Rudolph Jakob Camerarius Degree


*[6] gives M. Minsky's Advisor as John Wilder Tukey (Ph.D. Mathematics, Princeton, 1939, "On Denumerability in Topology"). Correction: Tukey was also a student of Lefschetz. Tucker, in an interview [8], states that he was Minsky's advisor, and that Tukey also read his dissertation.

**[7] shows a degree of L.L.M. under Hausen in 1737, same university.

***[7] shows an M.S. at Wittenberg in 1712, advisor not known.


[2] The SIGACT Theory of Computation Genealogy

The MacTutor History of Mathematics archive

[3] Research by Eric Paulos

[4] Research by Haym Hirsh

[5] Research by A. M. Jacobi

[6] The Mathematics Genealogy Project, at Minnesota State University

[8] The Princeton Mathematics Community in the 1930s: An Oral-History Project

[7] Chemical Genealogy Database