Who were your teachers....and their teachers?

____________________________(Your name here)

Susan Kelly

            Advisor 1: Richard Rochberg
            Advisor 2: Mitchell Taibleson

 I was fortunate to have two wonderful advisors.  Both have genealogies that eventually lead to the same teachers.  I have chosen Mitchell Taibleson's genealogy trail here since he was the first person I began my graduate work with.

Mitchell Herbert Taibleson

Elias M. Stein

                        Stein has done significant work in wavelets from their beginnings to present.

Antoni Zygmund

                        Take a look at his book, Trigonometric Series, to get a good look at a graduate level book in analysis.

            Advisor 1: Aleksander Rajchman
            Advisor 2: Stefan Mazurkiewicz

Aleksander Rajchman

Wladyslaw Hugo Dyonizy

David Hilbert

                        Hilbert's work in geometry had the greatest influence in that area after Euclid. A systematic study of the axioms of

                        Euclidean geometry led Hilbert to propose 21    such axioms and he analysed their significance. He made contributions in

                        many areas of mathematics and physics.

C. L. Ferdinand (Carl Louis) Lindemann

                        Lindemann was the first to prove that π is transcendental, i.e. π is not the   root of any algebraic equation                     

                        with rational coefficients.

C. Felix (Christian) Klein  1849 – 1925

                         (Klein Bottle!)

            Advisor 1: Julius Plücker
            Advisor 2: Rudolf Lipschitz

Rudolf Lipschitz 1832 – 1903 Universität Berlin 1853

                        Lipschitz is remembered for the "Lipschitz  condition", an inequality that guarantees a unique solution to the differential     

                        equation y' = f (x, y).

            Advisor 1: Gustav Dirichlet
            Advisor 2: Martin Ohm

Gustav Dirichlet

                        Dissertation: Partial Results on Fermat's Last Theorem, Exponent 5 (He studied with Poisson and Fourier before

                        returning to Germany)

            Advisor 1: Simeon Poisson

                        Poisson's most important works were a   series of papers on definite integrals and his advances in                              

                        Fourier series. This work was the foundation of later work in this area by Dirichlet and Riemann
            Advisor 2: Jean-Baptiste Fourier

Jean-Baptiste Fourier 1768- 1830

                        Fourier studied the mathematical theory of heat conduction. He established the partial differential equation governing heat

                        diffusion and solved it by using infinite series of trigonometric functions.

Joseph Louis Lagrange

                        Lagrange excelled in all fields of analysis and number theory and analytical and celestial mechanics.

Leonhard Euler 1707 – 1783

                        Leonhard Euler was a Swiss mathematician who made enormous contributions to a wide range of                           

                        mathematics and physics including analytic geometry, trigonometry, geometry, calculus and number theory

Johann Bernoulli

Jacob Bernoulli

                        Jacob Bernoulli was a Swiss mathematician who was the first to use the term integral.

Gottfried Wilhelm Leibniz  1646 – 1716

                        Gottfried Leibniz was a German mathematician who developed the present day notation for the                         

                        differential and integral calculus though he never thought of the derivative as a limit. His philosophy is also important and

                        he invented an early calculating machine.

Erhard Weigel (Ph.D. Universität Leipzig 1650)

                        ( 6 PhD students and 36727  PhD descendants)

     Advisor unknown

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