If A and B are in the same column and A is directly above B, then A was the thesis advisor to B. The "~" symbol denotes double thesis advisors. For example, both Ohm and Dirichlet were advisors to Lipshitz.

Erhard Weigel
Gottfried Wilhelm von Leibniz Otto Mencken
Jacob Bernoulli Johann Christoph Wichmannshausen
Johann Bernoulli Christian Hausen
Leonhard Euler Abraham Kaestner
Joeseph Lagrange Johann Pfaff
Karl Von Lansdorf Simeon Poisson ~ Jean Fourier Carl Gauss
Martin Ohm ~ Gustav Dirichlet Christian Gerling Friedrich Bessel Christoph Gudermann
Rudolf Lipschitz ~ Julius Plucker Heinrich Scherk
C. Felix Klein Ernst Kummer ~ Karl Weierstrass
C.L. Ferdinand Lindemann Georg Frobenius
David Hilbert Edmund Landau
Hermann Weyl ~ I. Paul Bernays
Saunders Mac Lane
Anil Nerode
Jeffrey Remmel
Anthony Mendes

Data provided by the mathematics genealogy project.