I traced my mathematical lineage back into the middle ages at

"The Mathematics Genealogy Project" at
http://www.genealogy.ams.org/

Look, Mom, I've got blue blood! ...and some inbreeding and black sheep in the family too.

Click HERE for the PDF file that the genealogy web site produced for me, and another HERE that goes back even further.

             *
             |
        Jacob Bernoulli                         *
             |                                  |
        Johann Bernoulli                     C. Siber
             |                                  |
          L. Euler                           C. Hausen 
             |                 *                |
        J. Lagrange            |             A. Kaestner
         /     \            von Langsdorf      |
S. Poisson     J.B.Fourier  /               J. Pfaff
         \     /           /                 /
    G. Dirichlet    M. Ohm     /--------- Carl F. Gauss
          \         /        C.Gerling     /           \
          R.Lipschitz        /         Friedrich Bessel \
              |          J.Plueker       /               |
        Felix Klein--------/        Heinrich Scherk  C.Guderman
          /         \                   /               /
C. Lindemann         \          Ernst Kummer     K. Weierstrass
     |                \                \              /              
David Hilbert          \               Hermann Schwarz
     |                  |                    |
Erhard Schmidt   Ludwig Bieberbach      Leopold Fejer
          \         /                       /
           Heinz Hopf              George Polya        *
                     \            /                    |
                      James Stoker   *       *   Arthur Cayley
                         /          /         \        |
                        |  Walter Ball     G.Darwin  A.Forsyth
                        |       |                \    /
                        |  E.W.Barnes   A.Love  E.Whittacker
                        |       |            \    /
                        |  John Littlewood  G.H.Hardy
                        |             \        /
                        |          Donald Spencer
                        |                /
                  Louis Nirenberg  Joseph J.Kohn
                            \          /
                          Norberto Kerzman
                                 |
                              S. Bell