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
Pekka Neittaanmäki87
Ludwig Prandtl87
Alexander Vasil'evich Mikhalëv85
David Garvin Moursund82
Andrei Nikolayevich Kolmogorov81
Selim Grigorievich Krein81
Arnold Zellner81
Bart De Moor80
Richard J. Eden80
Charles Ehresmann78
Bruce Ramon Vogeli77
Kurt Mehlhorn76
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) Sawilowsky68
Terence Paul Speed67
Wayne Arthur Fuller67
Shing-Tung Yau67
Johan F. A. K. van Benthem67
Albert Nikolayevich Shiryaev67
Hubert Stanley Wall66
David Harold Blackwell65
Heinz-Gerd Hegering65
Erol Gelenbe64
C. Felix (Christian) Klein63
Eduard L. Stiefel63
George Bachman63
David Beauregard Bogy62
Gunter Schwarze62
David Roxbee Cox62
Donald Richard Marcotte61
Alexandre Aleksandrovich Kirillov61
Paul Heinz Müller60
Roger Ware Brockett60
Rainer Nagel60
Ivo Wouter Molenaar60

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios121342
Theodore Metochites1213411315
Gregory Palamas121339
Nilos Kabasilas1213381363
Demetrios Kydones121337
Elissaeus Judaeus121314
Georgios Plethon Gemistos1213131380, 1393
Basilios Bessarion1213101436
Manuel Chrysoloras121286
Guarino da Verona1212851408
Vittorino da Feltre1212841416
Theodoros Gazes1212801433
Jan Standonck1212591474
Jan Standonck1212591490
Johannes Argyropoulos1212591444
Rudolf Agricola1212301478
Florens Florentius Radwyn Radewyns121230
Geert Gerardus Magnus Groote121230
Thomas von Kempen à Kempis121229
Alexander Hegius1212281474
Marsilio Ficino1212281462
Cristoforo Landino121228
Angelo Poliziano1212271477
Desiderius Erasmus1212271497 /1506
Ulrich Zasius1212271501
Desiderius Erasmus1212271506
Georgius Hermonymus121225
Moses Perez121225
Scipione Fortiguerra1212251493
Girolamo (Hieronymus Aleander) Aleandro1212241499, 1508
Demetrios Chalcocondyles1211941452
Janus Lascaris1211931472
Guillaume Budé1211741486, 1491
François Dubois1211711516
Jakob Milich1211711520
Jean Tagault121171
Jakob Milich1211711524
Jacobus (Jacques Dubois) Sylvius121170
Jacobus (Jacques Dubois) Sylvius1211701530
Erasmus Reinhold1211701535

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
0142715
118463
27063
34153
42892
52111
61555
71289
81033
9862
10669
11558
12524
13407
14388
15315
16284
17237
18183
19168
21161
20147
22134
23110
2498
2584
2676
2876
2763
2951
3144
3240
3034
3434
3332
3532
4024
4123
3822
3621
4221
3916
3713
4313
4512
4811
5211
5311
5610
449
499
519
468
508
558
596
605
675
544
473
583
623
633
813
572
612
652
682
712
762
802
872
641
661
701
721
731
741
751
771
781
821
851
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.