Gregory Bard's Mathematical Lineage

The Mathematics Genealogy Project, run by the American Mathematical Society, is an attempt to trace back the roots of every mathematician, in terms of who supervised their doctoral research. In a sense, a PhD student's advisor is their parent, giving them guidance and help but also setting standards and imposing discipline. Likewise, schools of thought and mathematical perspectives are often inherited from advisor to student, and it can be interesting to see who has descended from whom. I have traced my own mathematical lineage to 1668, when my great-great-great-great-great-great-great-great-great-great-great-great-great-grand advisor Otto Mencken got his doctorate at the Universität Leipzig. Of course, the concept of doctoral supervisor is not really the same thing in the 18th century and in the 21st, but this is still a worthwhile notion. My lineage is listed below:

Lawrence Washington advised Gregory Bard, at the University of Maryland (USA.) (Dissertation: Algorithms, for the Solution of Linear and Polynomial Systems of Equations over Finite Fields, with Applications to Cryptanalysis, 2007.)
Kenkichi Iwasawa advised Lawrence Clinton Washington, at Princeton University (USA.) (Dissertation: Class Numbers and Zp-extensions, 1974.)
Shokichi Iyanaga advised Kenkichi Iwasawa, at the University of Tokyo (Japan.) (Dissertation: Über die endlichen Gruppen und die Verbände ihrer Untergruppen, 1945.)
Teiji Takagi advised Shokichi Iyanaga, at Tokyo Imperial University (Japan.) (Dissertation: Unknown, 1931.)
David Hilbert advised Teiji Takagi, at Tokyo Imperial University (Japan.) (Dissertation: Unknown, 1903.) (Hilbert was at the University of Göttingen at the time, so Teiji Takagi must have traveled.)
C. L. Ferdinand Lindemann advised David Hilbert, at Universität Königsberg (Now Kaliningrad, Russia, then Prussia.) (Dissertation: Über invariante Eigenschaften specieller binärer Formen, insbesondere der Kugelfunctionen, 1885.)
C. Felix Klein advised Carl Louis Ferdinand Lindemann, at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany.) (Dissertation: Über unendlich kleine Bewegungen und über Kraftsysteme bei allgemeiner projektivischer Maßbestimmung, 1873.)
Both Julius Plücker and Rudolf Lipschitz advised Christian Felix Klein, at Rheinische Friedrich-Wilhelms-Universität Bonn (Germany.) (Dissertation: Über die Transformation der allgemeinen Gleichung des zweiten Grades zwischen Linien-Koordinaten auf eine kanonische Form, 1868.) Plücker supervised Klein, but Lipschitz was his examiner. Both these roles are performed by the advisor in our day. Therefore I will continue with Plücker's lineage, and list Lipschitz's below.
Christian Gerling advised Julius Plücker, at Philipps-Universität Marburg (Germany.) (Dissertation: Generalem analyeseos applicationem ad ea quae geometriae altioris et mechanicae basis et fundamenta sunt e serie Tayloria deducit, 1823.)
Carl Gauss advised Christian Ludwig Gerling, at Georg-August-Universität Göttingen (Germany.) (Dissertation: Methodi proiectionis orthographicae usum ad calculos parallacticos facilitandos explicavit simulque eclipsin solarem die, 1812.)
Johann Pfaff advised Carl Friedrich Gauss, at Universität Helmstedt. (Dissertation: Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse, 1799.)
Abraham Kaestner advised Johann Friedrich Pfaff, at Georg-August-Universität Göttingen. (Dissertation: Commentatio de ortibus et occasibus siderum apud auctores classicos commemoratis, 1786.)
Christian Hausen advised Abraham Gotthelf Kaestner, at Universität Leipzig (Germany.) (Dissertation: Theoria radicum in aequationibus, 1739.)
Johann Wichmannshausen advised Christian August Hausen, at Martin-Luther-Universität Halle-Wittenberg (Germany.) (Dissertation: De corpore scissuris figurisque non cruetando ductu, 1713.)
Otto Mencken advised Johann Christoph Wichmannshausen, at Universität Leipzig (Germany.) (Dissertation: Disputationem Moralem De Divortiis Secundum Jus Naturae, 1685.)
It is unknown who advised Otto Mencken. He received his doctorate at Universität Leipzig (Germany.) (Dissertation: Thomae Hobbesii Epicureismum historice delineatum sistit, 1668.)
The database has positively identified 27,023 mathematicians who descend from Mencken.

And now, continuing with the other branch of Klein's lineage:

Gustav Dirichlet advised Rudolf Otto Sigismund Lipschitz, at Universität Berlin (Germany.) (Dissertation: Determinatio status magnetici viribus inducentibus commoti in ellipsoide, 1835.)
Both Simeon Poisson and Jean-Baptiste Fourier advised Gustav Peter Lejeune Dirichlet, at Rheinische Friedrich-Wilhelms-Universität Bonn (Germany.) (Dissertation: Partial Results on Fermat's Last Theorem, Exponent 5, 1827.)
Joseph Louis Lagrange advised Jean-Baptiste Joseph Fourier. The university, date and dissertation title are unknown.
Leonhard Euler advised Joseph Louis Lagrange. The university, date and dissertation title are unknown.
Johann Bernoulli advised Leonhard Euler, at Universität Basel (Switzerland.) The dissertation title is unknown, but the year was 1726.
Jacob Bernoulli advised Johann Bernoulli. The university, and dissertation title are unknown, but the year was 1694.
Gottfried Leibniz advised Jacob Bernoulli. The university, date and dissertation title are unknown.
Erhard Weigel advised Gottfried Wilhelm Leibniz, at Universität Altdorf (Germany.) (Dissertation: Disputatio Inauguralis De Casibus Perplexis In Jure, 1666.)
It is unknown who Erhard Weigel's advisor was. He studied at Universität Leipzig (Germany.) (Dissertation: De ascensionibus et descensionibus astronomicis dissertatio, 1650.)
The project has positively identified 28,236 PhD-holding mathematicians who descend from Weigel, even though Weigel has had only three known direct students... what a difference 354 years can make!

There are about 62,000 mathematicians in the database, so either Weigel's or Mencken's descendants each represent about half the mathematical world. About 10,431 of mathematicians descend from David Hilbert, and so you can see that the mathematical family tree didn't really start branching until the late 19th and 20th centuries.