Top 50 Advisors

NameStudents
C.-C. Jay Kuo131
Roger Meyer Temam118
Ronold Wyeth Percival King100
Andrew Bernard Whinston98
Alexander Vasil'evich Mikhalëv98
Willi Jäger95
Leonard Salomon Ornstein95
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
Egon Krause76
Johan F. A. K. van Benthem76
David Hilbert75
Wilhelm Magnus74
Thomas Kailath74
Neil Andrew Davidson73
Beno Eckmann72
Edward Joseph McCluskey, Jr.71
Shlomo Noach (Stephen Ram) Sawilowsky71
Erol Gelenbe71
Jean-Claude Nédélec71
Tze Leung Lai70
Robert Wayne Newcomb70
Terence Paul Speed68
Anatoliy Mikhailovich Samoilenko68
Wayne Arthur Fuller67
Albert Nikolayevich Shiryaev67
Shing-Tung Yau67
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
Alexandre Aleksandrovich Kirillov61
Roger Ware Brockett61

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios127380
Theodore Metochites1273791315
Gregory Palamas127377
Nilos Kabasilas1273761363
Demetrios Kydones127375
Elissaeus Judaeus127352
Georgios Plethon Gemistos1273511380, 1393
Basilios Bessarion1273481436
Manuel Chrysoloras127324
Guarino da Verona1273231408
Vittorino da Feltre1273221416
Theodoros Gazes1273181433
Jan Standonck1272971474
Johannes Argyropoulos1272971444
Jan Standonck1272971490
Florens Florentius Radwyn Radewyns127267
Rudolf Agricola1272671478
Geert Gerardus Magnus Groote127267
Marsilio Ficino1272661462
Thomas von Kempen à Kempis127266
Cristoforo Landino127266
Alexander Hegius1272651474
Angelo Poliziano1272651477
Desiderius Erasmus1272641497 /1506
Desiderius Erasmus1272641506
Ulrich Zasius1272641501
Georgius Hermonymus127263
Scipione Fortiguerra1272631493
Moses Perez127263
Girolamo (Hieronymus Aleander) Aleandro1272621499, 1508
Demetrios Chalcocondyles1272321452
Janus Lascaris1272311472
Guillaume Budé1272121486, 1491
Jakob Milich1272081524
Jakob Milich1272081520
Erasmus Reinhold1272071535
François Dubois1272021516
Jean Tagault127202
Jacobus (Jacques Dubois) Sylvius127201
Jacques Toussain1272011521

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
0148587
119268
27397
34321
42980
52215
61648
71354
81088
9909
10706
11588
12523
13436
14405
15319
16294
17253
18207
19174
20159
21150
22147
23118
25103
2495
2681
2879
2759
2949
3145
3040
3239
3336
3436
3529
4126
3821
3921
3620
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.