Top 50 Advisors

NameStudents
C.-C. Jay Kuo125
Roger Meyer Temam115
Ronold Wyeth Percival King100
Andrew Bernard Whinston97
Leonard Salomon Ornstein95
Willi Jäger93
Yurii Alekseevich Mitropolsky88
Ludwig Prandtl87
Alexander Vasil'evich Mikhalëv85
David Garvin Moursund82
Pekka Neittaanmäki81
Arnold Zellner81
Selim Grigorievich Krein81
Andrei Nikolayevich Kolmogorov81
Richard J. Eden80
Charles Ehresmann78
Bruce Ramon Vogeli77
Bart De Moor77
Kurt Mehlhorn77
Egon Krause76
David Hilbert75
Wilhelm Magnus74
Neil Andrew Davidson73
Beno Eckmann72
Edward Joseph McCluskey, Jr.71
Jean-Claude Nédélec71
Robert Wayne Newcomb70
Anatoliy Mikhailovich Samoilenko68
Albert Nikolayevich Shiryaev67
Wayne Arthur Fuller67
Johan F. A. K. van Benthem67
Terence Paul Speed67
Shing-Tung Yau67
Shlomo Noach (Stephen Ram) Sawilowsky67
Hubert Stanley Wall66
Heinz-Gerd Hegering65
David Harold Blackwell65
Erol Gelenbe64
C. Felix (Christian) Klein64
George Bachman63
Eduard L. Stiefel63
Gunter Schwarze62
David Roxbee Cox62
David Beauregard Bogy62
Alexandre Aleksandrovich Kirillov61
Donald Richard Marcotte61
Paul Heinz Müller60
Roger Ware Brockett60
Ivo Wouter Molenaar60
Reinhold Baer59

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios119433
Theodore Metochites1194321315
Gregory Palamas119430
Nilos Kabasilas1194291363
Demetrios Kydones119428
Elissaeus Judaeus119405
Georgios Plethon Gemistos1194041380, 1393
Basilios Bessarion1194011436
Manuel Chrysoloras119377
Guarino da Verona1193761408
Vittorino da Feltre1193751416
Theodoros Gazes1193711433
Jan Standonck1193501490
Jan Standonck1193501474
Johannes Argyropoulos1193501444
Geert Gerardus Magnus Groote119321
Rudolf Agricola1193211478
Florens Florentius Radwyn Radewyns119321
Thomas von Kempen à Kempis119320
Alexander Hegius1193191474
Marsilio Ficino1193191462
Cristoforo Landino119319
Desiderius Erasmus1193181506
Desiderius Erasmus1193181497 /1506
Ulrich Zasius1193181501
Angelo Poliziano1193181477
Scipione Fortiguerra1193161493
Georgius Hermonymus119316
Moses Perez119316
Girolamo (Hieronymus Aleander) Aleandro1193151499, 1508
Demetrios Chalcocondyles1192851452
Janus Lascaris1192841472
Guillaume Budé1192651486, 1491
Jakob Milich1192621520
Jakob Milich1192621524
François Dubois1192621516
Jean Tagault119262
Jacobus (Jacques Dubois) Sylvius1192611530
Jacobus (Jacques Dubois) Sylvius119261
Erasmus Reinhold1192611535

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
0140558
118152
26980
34082
42846
52076
61544
71264
8997
9864
10644
11564
12502
13413
14374
15310
16282
17232
18172
19164
21154
20151
22136
23108
24104
2579
2679
2871
2758
2946
3243
3140
3438
3036
3532
3327
3823
4123
4021
4219
3618
3916
3713
4313
4512
4411
5211
5311
4810
4910
519
559
569
598
507
676
465
544
814
473
583
603
623
773
572
612
632
642
652
712
661
681
701
721
731
741
751
761
781
801
821
851
871
881
931
951
971
1001
1151
1251

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.