Top 50 Advisors

NameStudents
C.-C. Jay Kuo121
Roger Meyer Temam112
Ronold Wyeth Percival King100
Andrew Bernard Whinston97
Leonard Salomon Ornstein95
Willi Jäger91
Ludwig Prandtl88
Yurii Alekseevich Mitropolsky87
Alexander Vasil'evich Mikhalëv85
Andrei Nikolayevich Kolmogorov82
David Garvin Moursund82
Selim Grigorievich Krein81
Arnold Zellner81
Pekka Neittaanmäki81
Richard J. Eden80
Charles Ehresmann78
Bart De Moor77
Bruce Ramon Vogeli77
Egon Krause76
David Hilbert75
Wilhelm Magnus74
Neil Andrew Davidson73
Beno Eckmann72
Jean-Claude Nédélec71
Edward Joseph McCluskey, Jr.71
Robert Wayne Newcomb70
Anatoliy Mikhailovich Samoilenko68
Johan F. A. K. van Benthem67
Wayne Arthur Fuller67
Terence Paul Speed67
Hubert Stanley Wall66
Shing-Tung Yau66
David Harold Blackwell65
Heinz-Gerd Hegering65
Shlomo Noach (Stephen Ram) Sawilowsky64
George Bachman63
Eduard L. Stiefel63
C. Felix (Christian) Klein63
David Roxbee Cox62
David Beauregard Bogy62
Albert Nikolayevich Shiryaev62
Gunter Schwarze62
Donald Richard Marcotte61
Alexandre Aleksandrovich Kirillov61
Ivo Wouter Molenaar60
Paul Heinz Müller60
Roger Ware Brockett60
Anatoli V. Skorokhod59
Takeo Kanade59
Peter Charles Bonest Phillips59

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Gregory Palamas115995
Nilos Kabasilas1159941363
Demetrios Kydones115993
Elissaeus Judaeus115970
Georgios Plethon Gemistos1159691380, 1393
Basilios Bessarion1159671436
Manuel Chrysoloras115948
Guarino da Verona1159471408
Vittorino da Feltre1159461416
Theodoros Gazes1159421433
Jan Standonck1159211474, 1490
Rudolf Agricola1158931478
Florens Florentius Radwyn Radewyns115893
Geert Gerardus Magnus Groote115893
Thomas von Kempen à Kempis115892
Georgius Hermonymus115892
Alexander Hegius1158911474
Desiderius Erasmus1158901506
Desiderius Erasmus1158901497 /1506
Ulrich Zasius1158901501
Demetrios Chalcocondyles1158621452
Janus Lascaris1158611472
Guillaume Budé1158421486, 1491
Jakob Milich1158401520, 1524
Erasmus Reinhold1158391535
Jacques Toussain1158311521
Heinrich von Langenstein1128321363, 1375
Johannes von Gmunden1128311406
Georg von Peuerbach1128301440
Luca Pacioli112829
Johannes Müller Regiomontanus1128291457
Bonifazius Erasmi1128281509
Leonhard (Leonard Vitreatoris z Dobczyc) von Dobschütz1128281489
Domenico Maria Novara da Ferrara1128281483
Nicolaus (Mikołaj Kopernik) Copernicus1128271499
Johannes Volmar1128271515
Georg Joachim von Leuchen Rheticus1128261535
Friedrich Leibniz1127811622
Jakob Thomasius1127801643
Thomas Cranmer1091431515

Frequency Counts

The table below indicates the values of number of students for mathematicians in our database along with the number of mathematicians having that many students.

Number of StudentsFrequency
0136531
117674
26789
33913
42759
52013
61501
71196
8962
9832
10616
11548
12484
13405
14370
15283
16272
17226
18170
19162
21152
20145
22132
23103
2494
2678
2575
2761
2861
2950
3144
3037
3237
3435
3529
3325
4023
3822
3618
4118
4218
3716
3916
4314
5012
5211
5311
4510
5510
599
448
488
518
467
477
566
494
544
624
583
603
633
673
813
572
612
652
662
712
772
822
641
681
701
721
731
741
751
761
781
801
851
871
881
911
951
971
1001
1121
1211

Nonplanarity

The Mathematics Genealogy Project graph is nonplanar. Thanks to Professor Ezra Brown of Virginia Tech for assisting in finding the subdivision of K3,3 depicted below. The green vertices form one color class and the yellow ones form the other. Interestingly, Gauß is the only vertex that needs to be connected by paths with more than one edge.

K_{3,3} in the Genealogy graph

Graph structure

In June 2010, Professor David Joyner of the United States Naval Academy asked for data from our database to analyze it as a graph. At the time, the genealogy graph had 142,688 vertices. Of these, 7,190 were isolated vertices. The largest component had 121,424 vertices (85% of the total number). The next largest component had 128 vertices. The next largest component sizes were 79, 61, 45, and 42. The most frequent size of a nontrivial component was 2; there were 1937 components of size 2. The component with 121,424 vertices has 4,639 root verticies, i.e., mathematicians for whom the advisor is currently unknown.