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
Selim Grigorievich Krein81
Andrei Nikolayevich Kolmogorov81
Arnold Zellner81
Pekka Neittaanmäki81
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
Shlomo Noach (Stephen Ram) Sawilowsky67
Terence Paul Speed67
Albert Nikolayevich Shiryaev67
Johan F. A. K. van Benthem67
Shing-Tung Yau67
Wayne Arthur Fuller67
Hubert Stanley Wall66
David Harold Blackwell65
Heinz-Gerd Hegering65
C. Felix (Christian) Klein64
Erol Gelenbe64
George Bachman63
Eduard L. Stiefel63
David Beauregard Bogy62
David Roxbee Cox62
Gunter Schwarze62
Donald Richard Marcotte61
Alexandre Aleksandrovich Kirillov61
Paul Heinz Müller60
Ivo Wouter Molenaar60
Roger Ware Brockett60
Rainer Nagel59

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios119386
Theodore Metochites1193851315
Gregory Palamas119383
Nilos Kabasilas1193821363
Demetrios Kydones119381
Elissaeus Judaeus119358
Georgios Plethon Gemistos1193571380, 1393
Basilios Bessarion1193541436
Manuel Chrysoloras119330
Guarino da Verona1193291408
Vittorino da Feltre1193281416
Theodoros Gazes1193241433
Johannes Argyropoulos1193031444
Jan Standonck1193031474
Jan Standonck1193031490
Geert Gerardus Magnus Groote119274
Rudolf Agricola1192741478
Florens Florentius Radwyn Radewyns119274
Thomas von Kempen à Kempis119273
Cristoforo Landino119272
Marsilio Ficino1192721462
Alexander Hegius1192721474
Desiderius Erasmus1192711506
Desiderius Erasmus1192711497 /1506
Ulrich Zasius1192711501
Angelo Poliziano1192711477
Moses Perez119269
Scipione Fortiguerra1192691493
Georgius Hermonymus119269
Girolamo (Hieronymus Aleander) Aleandro1192681499, 1508
Demetrios Chalcocondyles1192381452
Janus Lascaris1192371472
Guillaume Budé1192181486, 1491
Jean Tagault119215
Jakob Milich1192151520
Jakob Milich1192151524
François Dubois1192151516
Jacobus (Jacques Dubois) Sylvius1192141530
Erasmus Reinhold1192141535
Jacobus (Jacques Dubois) Sylvius119214

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
0140503
118149
26980
34078
42845
52074
61547
71262
8996
9863
10643
11564
12501
13413
14375
15309
16283
17231
18174
19163
21155
20150
22136
23107
24104
2581
2677
2871
2758
2946
3243
3140
3439
3036
3531
3327
3823
4022
4122
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.