Top 50 Advisors

NameStudents
C.-C. Jay Kuo131
Roger Meyer Temam118
Ronold Wyeth Percival King100
Alexander Vasil'evich Mikhalëv98
Andrew Bernard Whinston98
Leonard Salomon Ornstein95
Willi Jäger95
Pekka Neittaanmäki90
Yurii Alekseevich Mitropolsky88
Ludwig Prandtl87
Kurt Mehlhorn83
Andrei Nikolayevich Kolmogorov82
David Garvin Moursund82
Selim Grigorievich Krein81
Bart De Moor80
Richard J. Eden80
Arnold Zellner79
Charles Ehresmann78
Bruce Ramon Vogeli78
Johan F. A. K. van Benthem76
Egon Krause76
David Hilbert75
Thomas Kailath74
Wilhelm Magnus74
Neil Andrew Davidson73
Beno Eckmann72
Erol Gelenbe71
Shlomo Noach (Stephen Ram) Sawilowsky71
Jean-Claude Nédélec71
Edward Joseph McCluskey, Jr.71
Robert Wayne Newcomb70
Tze Leung Lai70
Anatoliy Mikhailovich Samoilenko68
Terence Paul Speed68
Wayne Arthur Fuller67
Shing-Tung Yau67
Albert Nikolayevich Shiryaev67
Hubert Stanley Wall66
David Harold Blackwell65
Heinz-Gerd Hegering65
George Bachman63
David Beauregard Bogy63
Eduard L. Stiefel63
C. Felix (Christian) Klein63
David Roxbee Cox63
Gunter Schwarze62
Rainer Nagel62
Arthur E. Bryson, Jr.61
Roger Ware Brockett61
Donald Richard Marcotte61

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios127524
Theodore Metochites1275231315
Gregory Palamas127521
Nilos Kabasilas1275201363
Demetrios Kydones127519
Elissaeus Judaeus127496
Georgios Plethon Gemistos1274951380, 1393
Basilios Bessarion1274921436
Manuel Chrysoloras127468
Guarino da Verona1274671408
Vittorino da Feltre1274661416
Theodoros Gazes1274621433
Jan Standonck1274411474
Jan Standonck1274411490
Johannes Argyropoulos1274411444
Geert Gerardus Magnus Groote127411
Florens Florentius Radwyn Radewyns127411
Rudolf Agricola1274111478
Thomas von Kempen à Kempis127410
Cristoforo Landino127410
Marsilio Ficino1274101462
Angelo Poliziano1274091477
Alexander Hegius1274091474
Desiderius Erasmus1274081497 /1506
Ulrich Zasius1274081501
Desiderius Erasmus1274081506
Moses Perez127407
Scipione Fortiguerra1274071493
Georgius Hermonymus127407
Girolamo (Hieronymus Aleander) Aleandro1274061499, 1508
Demetrios Chalcocondyles1273761452
Janus Lascaris1273751472
Guillaume Budé1273561486, 1491
Jakob Milich1273521524
Jakob Milich1273521520
Erasmus Reinhold1273511535
Jean Tagault127346
François Dubois1273461516
Jacobus (Jacques Dubois) Sylvius1273451530
Jacobus (Jacques Dubois) Sylvius127345

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
0148743
119290
27407
34324
42984
52218
61658
71352
81088
9906
10708
11594
12521
13435
14405
15321
16294
17252
18209
19171
20159
21152
22150
23118
25103
2494
2682
2878
2759
2950
3143
3040
3239
3337
3437
3527
4126
3622
3821
3921
4319
4018
4218
3717
5215
4514
4911
5310
449
489
559
569
467
507
517
476
546
595
605
635
574
584
614
714
673
622
652
682
702
742
762
782
802
822
952
982
661
721
731
751
791
811
831
871
881
901
1001
1181
1311

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.