Mathematical Ph.D. Genealogy
of
Patrick J. Lyons

This information was obtained from Math Department at North Dakota State University - www.genealogy.math.ndsu.nodak.edu.
There are mirror sites at American Mathematical Society - www.genealogy.ams.org and University of Mississippi - riesz.math.olemiss.edu.

1. Patrick J. Lyons, Ph.D. Adelphi University 1972 

   1. Dissertation: Vertical Oscillations of a Viscous Thermally Conducting Isothermal Atmosphere
   2. Advisor: Michael Yanowitch

2. Michael Yanowitch, Ph.D. New York University 1953

   1. Dissertation: NonLinear Buckling of Circular Elastic Plates 
   2. Advisor: James Stoker

3. James J. Stoker, Ph.D. Eidgenössische Technische Hochschule Zürich 1936

   1. Dissertation: 
   2. Advisor 1: Heinz Hopf, Advisor 2: George Pólya

4. Heinz Hopf, Ph.D. Universität Berlin 1925 

   1. Dissertation: Über Zusammmenhänge zwischen Topologie und Metrik von Mannigfaltigkeiten
   2. Advisor 1: Erhard Schmidt, Advisor 2: Ludwig Bieberbach

5. Erhard Schmidt, Ph.D. Georg-August-Universität Göttingen 1905

   1. Dissertation: Entwickelung willkürlicher Funktionen nach Systemen vorgeschriebener 
   2. Advisor: David Hilbert

6. David Hilbert, Ph.D. Universität Königsberg 1885 

   1. Dissertation: Über invariante Eigenschaften specieller binärer Formen, insbesondere der Kugelfunctionen
   2. Advisor: C. L. Ferdinand Lindemann

7. C. L. Ferdinand (Carl Louis) Lindemann, Ph.D. Friedrich-Alexander-Universität Erlangen-Nürnberg 1873

   1. Dissertation: Über unendlich kleine Bewegungen und über Kraftsysteme bei allgemeiner projektivischer Maßbestimmung
   2. Advisor: C. Felix Klein

8. C. Felix (Christian) Klein, Ph.D. Rheinische Friedrich-Wilhelms-Universität Bonn 1868

   1. Dissertation: Über die Transformation der allgemeinen Gleichung des zweiten Grades zwischen Linien-Koordinaten auf eine kanonische Form
   2. Advisor 1: Julius Plücker, Advisor 2: Rudolf Lipschitz

9. Julius Plücker, Ph.D. Philipps - Universität Marburg 1823

   1. Dissertation: Generalem analyeseos applicationem ad ea quae geometriae altioris et mechanicae basis et fundamenta sunt e serie Tayloria deducit
   2. Advisor: Christian Gerling

10. Christian Ludwig Gerling, Dr. phil. Georg-August-Universität Göttingen 1812

    1. Dissertation: Methodi proiectionis orthographicae usum ad calculos parallacticos facilitandos explicavit simulque eclipsin solarem die
    2. Advisor: Carl Gauß

11. Carl Friedrich Gauß, Ph.D. Universität Helmstedt 1799

    1. Dissertation: Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse
    2. Advisor: Johann Pfaff
    3. From biography: At the age of seven, Carl Friedrich Gauss started elementary school, and his potential was noticed almost immediately. His teacher, Büttner, and his assistant, Martin Bartels, were amazed when Gauss summed the integers from 1 to 100 instantly by spotting that the sum was 50 pairs of numbers each pair summing to 101.

12. Johann Friedrich Pfaff, Dr. phil. Georg-August-Universität Göttingen 1786

    1. Dissertation: Commentatio de ortibus et occasibus siderum apud auctores classicos commemorates
    2. Advisor: Abraham Kaestner

13. Abraham Gotthelf Kaestner, Ph.D. Universität Leipzig 1739

    1. Dissertation: Theoria radicum in aequationibus
    2. Advisor: Christian Hausen

14. Christian August Hausen, Dr. phil. Martin-Luther-Universität Halle-Wittenberg 1713

    1. Dissertation: De corpore scissuris figurisque non cruetando ductu
    2. Advisor: Johann Wichmannshausen

15. Johann Christoph Wichmannshausen, Ph.D. Universität Leipzig 1685

    1. Dissertation: Disputationem Moralem De Divortiis Secundum Jus Naturae
    2. Advisor: Otto Mencken

16. Otto Mencken, Ph.D.

    1. Dissertation:
    2. Advisor: Unknown

                        (This page was last edited on May 28, 2004 .)