Martin Grötschel and his academic forefathers
The following information is an excerpt from the
material that can be found at the homepage of
The Mathematics Genealogy Project.
The intent of this project is to compile information
about ALL the mathematicians of the world.
By searching, e.g., for Last Name "Grötschel" at
"http://genealogy.math.ndsu.nodak.edu/search.php
one can find my entry. By clicking on my name (almost)
all my Ph.D. students are listed alphabetically, and
my Ph.D. advisor (Bernhard Korte) is displayed.
By clicking on "Bernhard Korte" one can find his
advisor (Ernst Peschl) and so on. The list
of doctoral father, doctoral grandfather, doctoral
great grandfather, etc. below has been collected
from the wonderful data repository of the
Mathematics Genealogy Project.
Martin Grötschel
Ph.D. Rheinische Friedrich-Wilhelms-Universität Bonn 1977
Dissertation: Polyedrische Charakterisierungen kombinatorischer
Optimierungsprobleme
Advisor: Bernhard Korte
Bernhard Korte
Ph.D. Rheinische Friedrich-Wilhelms-Universität Bonn 1967
Dissertation: Beiträge zur Theorie der Hardy'schen Funktionenklassen
Advisor: Ernst Peschl
Ernst Peschl
Ph.D. Ludwig-Maximilians-Universität München 1931
Dissertation: Ueber die Krümmung von Niveaukurven bei der konformen
Abbildung einfachzusammenhängender Gebiete auf das Innere eines Kreises;
eine Verallgemeinerung eines Satzes von E. Study
Advisor: Constantin Carathéodory
Constantin Carathéodory
Ph.D. Georg-August-Universität Göttingen 1904
Dissertation: Über die diskontinuierlichen Lösungen in der Variationsrechnung
Advisor: Hermann Minkowski
Hermann Minkowski
Dr. phil. Universität Königsberg 1885
Dissertation: Untersuchungen über quadratische Formen Bestimmung der Anzahl
verschiedener Formen, welche ein gegebenes Genus enthält
Advisor: C. L. Ferdinand Lindemann
C. L. Ferdinand (Carl Louis) Lindemann
Ph.D. Friedrich-Alexander-Universität Erlangen-Nürnberg 1873
Dissertation: Über unendlich kleine Bewegungen und über Kraftsysteme bei
allgemeiner projektivischer Maßbestimmung
Advisor: C. Felix Klein
C. Felix (Christian) Klein
Ph.D. Rheinische Friedrich-Wilhelms-Universität Bonn 1868
Dissertation: Über die Transformation der allgemeinen Gleichung des
zweiten Grades zwischen Linien-Koordinaten auf eine kanonische Form
Advisor 1: Julius Plücker
Advisor 2: Rudolf Lipschitz (see below for this branch)
Julius Plücker
Ph.D. Philipps - Universität Marburg 1823
Dissertation: Generalem analyeseos applicationem ad ea quae geometriae
altioris et mechanicae basis et fundamenta sunt e serie Tayloria deducit
Advisor: Christian Gerling
Christian Ludwig Gerling
Ph.D. Georg-August-Universität Göttingen 1812
Dissertation: Methodi proiectionis orthographicae usum ad calculos
parallacticos facilitandos explicavit simulque eclipsin solarem die
Advisor: Carl Friedrich Gauß
Carl Friedrich Gauß
Ph.D. University of Helmstedt 1799
Dissertation: Demonstratio nova theorematis omnem functionem algebraicam
rationalem integram unius variabilis in factores reales primi vel
secundi gradus resolvi posse
Advisor: Johann Pfaff
Johann Friedrich Pfaff
Ph.D. Georg-August-Universität Göttingen 1786
Dissertation: Commentatio de ortibus et occasibus
siderum apud auctores classicos commemoratis
Advisor: Abraham Kaestner
Abraham Gotthelf Kaestner
Ph.D. Universität Leipzig 1739
Dissertation: Theoria radicum in aequationibus
Advisor: Christian Hansen
Christian August Hansen
Ph.D. Martin-Luther-Universität Halle-Wittenberg 1713
Dissertation: De corpore scissuris figurisque non cruetando ductu
Advisor: Johann Wichmannshausen
Johann Christoph Wichmannshausen
Ph.D. Universität Leipzig 1685
Dissertation: Disputationem Moralem De Divortiis Secundum Jus Naturae
Advisor: Otto Mencken
Otto Mencken
Ph.D. unknown
Dissertation: unknown
Advisor: Unknown
Branch of the genealogy line above:
C. Felix (Christian) Klein
lists, in addition to Julius Plücker, another advisor:
Advisor 2: Rudolf Lipschitz
Following the Lipschitz branch yields these additional academic forefathers:
Rudolf Otto Sigismund Lipschitz
Dr. phil. Universität Berlin 1853
Dissertation: Determinatio status magnetici viribus inducentibus commoti
in ellipsoide
Advisor 1: Gustav Dirichlet
Advisor 2: Martin Ohm
Gustav Peter Lejeune Dirichlet
Rheinische Friedrich-Wilhelms-Universität Bonn 1827
Advisor 1: Simeon Poisson
Advisor 2: Jean-Baptiste Fourier
(This is a somewhat unclear entry in the data base.)
Simeon Denis Poisson
Advisor: Joseph Lagrange
Joseph Louis Lagrange
Advisor: Leonhard Euler
Leonhard Euler
Ph.D. Universität Basel 1726
Advisor: Johann Bernoulli
Johann Bernoulli
1694
Advisor: Jacob Bernoulli
Jacob Bernoulli
Advisor: Unknown
Branch of the genealogy tree:
Rudolf Otto Sigismund Lipschitz
lists, in addition to Gustav Dirichlet, another advisor:
Advisor 2: Martin Ohm
Following the Ohm branch yields these additional academic forefathers:
Martin Ohm
Dr. phil. Friedrich-Alexander-Universität Erlangen-Nürnberg 1811
Dissertation: De elevatione serierum infinitarum secundi ordinis
ad potestatem exponentis indeterminati
Advisor: Karl von Langsdorf
Karl Christian von Langsdorf
Advisor: Unknown
Branch of the genealogy tree:
Gustav Peter Lejeune Dirichlet
lists, in addition to Simeon Poisson, another advisor:
Advisor 2: Jean-Baptiste Fourier
Following the Fourier branch yields
Joseph Louis Lagrange as Fourier's advisor. Lagrange has
already appeared above as the advisor of Poisson. This
creates a cycle in the genealogy "tree".
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