Top 50 Advisors

NameStudents
C.-C. Jay Kuo126
Roger Meyer Temam117
Ronold Wyeth Percival King100
Andrew Bernard Whinston97
Leonard Salomon Ornstein95
Willi Jäger94
Yurii Alekseevich Mitropolsky88
Pekka Neittaanmäki87
Ludwig Prandtl86
Alexander Vasil'evich Mikhalëv85
Andrei Nikolayevich Kolmogorov82
David Garvin Moursund82
Selim Grigorievich Krein81
Kurt Mehlhorn80
Bart De Moor80
Richard J. Eden80
Arnold Zellner79
Charles Ehresmann78
Bruce Ramon Vogeli78
Egon Krause76
David Hilbert75
Wilhelm Magnus74
Thomas Kailath74
Neil Andrew Davidson73
Beno Eckmann72
Edward Joseph McCluskey, Jr.71
Jean-Claude Nédélec71
Robert Wayne Newcomb70
Shlomo Noach (Stephen Ram) Sawilowsky69
Anatoliy Mikhailovich Samoilenko68
Albert Nikolayevich Shiryaev67
Wayne Arthur Fuller67
Shing-Tung Yau67
Terence Paul Speed67
Johan F. A. K. van Benthem67
Erol Gelenbe66
Hubert Stanley Wall66
Heinz-Gerd Hegering65
David Harold Blackwell65
Eduard L. Stiefel63
C. Felix (Christian) Klein63
George Bachman63
David Beauregard Bogy63
Rainer Nagel62
David Roxbee Cox62
Gunter Schwarze62
Donald Richard Marcotte61
Alexandre Aleksandrovich Kirillov61
Roger Ware Brockett61
Reinhold Baer60

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios124354
Theodore Metochites1243531315
Gregory Palamas124351
Nilos Kabasilas1243501363
Demetrios Kydones124349
Elissaeus Judaeus124326
Georgios Plethon Gemistos1243251380, 1393
Basilios Bessarion1243221436
Manuel Chrysoloras124298
Guarino da Verona1242971408
Vittorino da Feltre1242961416
Theodoros Gazes1242921433
Jan Standonck1242711474
Johannes Argyropoulos1242711444
Jan Standonck1242711490
Geert Gerardus Magnus Groote124241
Rudolf Agricola1242411478
Florens Florentius Radwyn Radewyns124241
Thomas von Kempen à Kempis124240
Marsilio Ficino1242401462
Cristoforo Landino124240
Alexander Hegius1242391474
Angelo Poliziano1242391477
Desiderius Erasmus1242381506
Desiderius Erasmus1242381497 /1506
Ulrich Zasius1242381501
Moses Perez124237
Georgius Hermonymus124237
Scipione Fortiguerra1242371493
Girolamo (Hieronymus Aleander) Aleandro1242361499, 1508
Demetrios Chalcocondyles1242061452
Janus Lascaris1242051472
Guillaume Budé1241861486, 1491
Jakob Milich1241821520
Jakob Milich1241821524
Erasmus Reinhold1241811535
Jean Tagault124176
François Dubois1241761516
Jacques Toussain1241751521
Jacobus (Jacques Dubois) Sylvius1241751530

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
0145561
118893
27223
34232
42948
52157
61580
71335
81062
9895
10686
11573
12515
13429
14390
15321
16290
17243
18191
19174
20159
21146
22144
23113
24100
2594
2877
2676
2760
2952
3143
3038
3437
3236
3334
3531
4125
3823
3921
4221
4020
3619
4315
3714
4514
5213
4911
5311
489
519
569
448
468
557
506
606
545
575
675
474
594
634
613
623
803
582
652
662
712
742
782
822
681
691
701
721
731
751
761
791
811
851
861
871
881
941
951
971
1001
1171
1261

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.