o Erhard Weigel

o Gottfried
Leibniz

o Jacob
Bernoulli

o Johann
Bernoulli

o Leonhard Euler

o Joseph
Lagrange (no dissertation, see Note 1 below)

o Jean
Baptiste Fourier (18??, see Note 2 below)

o Gustav Dirichlet (1827)

o Rudolf
Lipschitz (1853)

o Felix Klein
(1868)

o Carl Louis
Lindeman (1873)

o Arnold Sommerfeld (1891)

o Ernst
Guillemin (1926)

o Robert M. Fano
(1947)

o Charles A. Desoer (1953)

o Robert W. Newcomb (1960)

o Brian D. O. Anderson (1966)

o Peter J. Moylan (1972)

o David J. Hill (1976)

o Chengshan Xiao
(1997)

Note 1: Wikipedia
states that LagrangeÕs Òacademic advisorÓ (in what sense is unclear if there
was no dissertation) was Leonhard Euler, the inventor of graph theory (in his
famous solution to the Kšnigsberg bridges problem;
according to Barab‡si this initiated the subject of
networks!), whose advisor was Johann Bernoulli; the line continues back as
Jacob Bernoulli (his brother), Gottfried Leibniz (the co-inventor of calculus
seems to have done two theses in philosophy and law), Erhard Weigel (mathematician, astronomer and philosopher,
1625-1699) where the line seems to end.

Note 2: From
http://www-history.mcs.st-andrews.ac.uk/Biographies/Fourier.html: ÒLater in
1794 Fourier was nominated to study at the ƒcole Normale in Paris. This institution had been set up for
training teachers and it was intended to serve as a model for other
teacher-training schools. The school opened in January 1795 and Fourier was
certainly the most able of the pupils whose abilities
ranged widely. He was taught by Lagrange, who Fourier described as the first
among European men of science, and also by Laplace, who Fourier rated less
highly, ÉÉ. In 1797 he succeeded Lagrange in being appointed to the chair of
analysis and mechanics. É he does not appear to have undertaken original
research during this timeÉÉFourier was elected to the AcadŽmie des Sciences in
1817. É the AcadŽmie published his prize winning
essay ThŽorie analytique de
la chaleur in 1822.Ó This is referred to as a book
elsewhere and probably post-dates his thesis.

Special
thanks to Prof. David Hill for providing the above information in early
2007.

Speical note: Dr. Chengshan Xiao is on the 65th generation of the Xiao
family, details are omitted here.