Top 50 Advisors

NameStudents
C.-C. Jay Kuo134
Roger Meyer Temam118
Ronold Wyeth Percival King100
Andrew Bernard Whinston98
Alexander Vasil'evich Mikhalëv98
Willi Jäger96
Leonard Salomon Ornstein95
Pekka Neittaanmäki93
Yurii Alekseevich Mitropolsky88
Ludwig Prandtl87
Kurt Mehlhorn83
Andrei Nikolayevich Kolmogorov82
David Garvin Moursund82
Selim Grigorievich Krein81
Bart De Moor81
Richard J. Eden80
Bruce Ramon Vogeli78
Charles Ehresmann78
Arnold Zellner78
Egon Krause76
Johan F. A. K. van Benthem76
David Hilbert75
Wilhelm Magnus74
Thomas Kailath74
Erol Gelenbe73
Neil Andrew Davidson73
Beno Eckmann72
Shlomo Noach (Stephen Ram) Sawilowsky72
Edward Joseph McCluskey, Jr.71
Jean-Claude Nédélec71
Tze Leung Lai70
Robert Wayne Newcomb70
Terence Paul Speed68
Anatoliy Mikhailovich Samoilenko68
Wayne Arthur Fuller67
Shing-Tung Yau67
Albert Nikolayevich Shiryaev67
Hubert Stanley Wall66
Heinz-Gerd Hegering65
David Harold Blackwell65
Eduard L. Stiefel63
C. Felix (Christian) Klein63
George Bachman63
David Roxbee Cox63
David Beauregard Bogy63
Rainer Nagel62
Gunter Schwarze62
Arthur E. Bryson, Jr.61
Roger Ware Brockett61
Donald Richard Marcotte61

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Gregory Choniades129731
Manuel Bryennios129730
Theodore Metochites1297291315
Gregory Palamas129727
Nilos Kabasilas1297261363
Demetrios Kydones129725
Elissaeus Judaeus129702
Georgios Plethon Gemistos1297011380, 1393
Basilios Bessarion1296981436
Manuel Chrysoloras129674
Guarino da Verona1296731408
Vittorino da Feltre1296721416
Theodoros Gazes1296681433
Jan Standonck1296471474
Johannes Argyropoulos1296471444
Jan Standonck1296471490
Rudolf Agricola1296171478
Florens Florentius Radwyn Radewyns129617
Geert Gerardus Magnus Groote129617
Thomas von Kempen à Kempis129616
Marsilio Ficino1296161462
Cristoforo Landino129616
Alexander Hegius1296151474
Angelo Poliziano1296151477
Desiderius Erasmus1296141497 /1506
Desiderius Erasmus1296141506
Ulrich Zasius1296141501
Scipione Fortiguerra1296131493
Moses Perez129613
Georgius Hermonymus129613
Girolamo (Hieronymus Aleander) Aleandro1296121499, 1508
Demetrios Chalcocondyles1295821452
Janus Lascaris1295811472
Guillaume Budé1295621486, 1491
Jakob Milich1295581524
Jakob Milich1295581520
Erasmus Reinhold1295571535
François Dubois1295521516
Jean Tagault129552
Jacobus (Jacques Dubois) Sylvius129551

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
0150959
119716
27537
34433
43016
52267
61672
71385
81119
9927
10715
11606
12534
13437
14413
15324
16298
17256
18216
19178
21161
22151
20148
23121
25102
2497
2683
2879
2763
2952
3142
3240
3039
3339
3436
4130
3529
3622
3820
3920
4220
3719
4318
4017
4515
5213
5312
4911
5511
4410
488
508
518
568
466
476
606
575
615
635
544
594
583
673
783
622
652
682
702
712
722
732
742
762
812
822
982
661
751
801
831
871
881
931
951
961
1001
1181
1341

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.