**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

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