OK, genealogy, and academic genealogy at that - perhaps not the most stimulating of topics.
However, thanks to the Mathematics Genealogy Project, and some curiosity, I was able to trace back my academic genealogy from my advisor, to his advisor, to his advisor, etc., all the way back until the records gave out. (Note: I did a quick initial search -- I may continue this project in the future as time permits.)
Amazingly, I was able to trace my academic heritage all the way back to 1650, to an academic ancestor named Erhard Weigel, who was a German mathematician, astronomer, and philosopher.
And here is his picture:
Below, starting with Erhard, for each person I state the name and the year of his dissertation, if it is known. A link to the appropriate Wikipedia page is also given, if I could find one. In two cases, for Joseph Liouville and Jacques Hadamard, there are two advisors.
Erhard Weigel, 1650 | | Gottfried Liebniz, 1666 | | Jacob Bernoulli, 1684 | | Johann Bernoulli, 1694 | | Leonhard Euler, 1726 | | Joseph Lagrange ? | | | | Simeon Poisson Louis Thenard | | | | Joseph Liouville, 1835 | Eugene-Charles Catalan, 1841 | | Charles Hermite ? | | | | Jules Tannery C. Emile Picard, 1877 | | | | Jacques Hadamard, 1892 | | Szolem Mandelbrojt, 1923 | | Hugh Daniel Brunk, 1944 | | Timothy Robertson, 1966 | | Edward Wegman, 1968 | | Carey Priebe, 1993 (and David Marchette, 1996) | | Kendall Giles, 2007