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
Arnold Zellner81
Selim Grigorievich Krein81
Andrei Nikolayevich Kolmogorov81
Richard J. Eden80
Bart De Moor79
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
Shlomo Noach (Stephen Ram) Sawilowsky68
Anatoliy Mikhailovich Samoilenko68
Albert Nikolayevich Shiryaev67
Wayne Arthur Fuller67
Johan F. A. K. van Benthem67
Terence Paul Speed67
Shing-Tung Yau67
Hubert Stanley Wall66
Heinz-Gerd Hegering65
David Harold Blackwell65
Erol Gelenbe64
George Bachman63
C. Felix (Christian) Klein63
Eduard L. Stiefel63
David Roxbee Cox62
Gunter Schwarze62
David Beauregard Bogy62
Alexandre Aleksandrovich Kirillov61
Donald Richard Marcotte61
Rainer Nagel60
Reinhold Baer60
Roger Ware Brockett60
Ivo Wouter Molenaar60

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios121641
Theodore Metochites1216401315
Gregory Palamas121638
Nilos Kabasilas1216371363
Demetrios Kydones121636
Elissaeus Judaeus121613
Georgios Plethon Gemistos1216121380, 1393
Basilios Bessarion1216091436
Manuel Chrysoloras121585
Guarino da Verona1215841408
Vittorino da Feltre1215831416
Theodoros Gazes1215791433
Jan Standonck1215581474
Jan Standonck1215581490
Johannes Argyropoulos1215581444
Geert Gerardus Magnus Groote121529
Rudolf Agricola1215291478
Florens Florentius Radwyn Radewyns121529
Thomas von Kempen à Kempis121528
Alexander Hegius1215271474
Cristoforo Landino121527
Marsilio Ficino1215271462
Desiderius Erasmus1215261497 /1506
Angelo Poliziano1215261477
Desiderius Erasmus1215261506
Ulrich Zasius1215261501
Georgius Hermonymus121524
Moses Perez121524
Scipione Fortiguerra1215241493
Girolamo (Hieronymus Aleander) Aleandro1215231499, 1508
Demetrios Chalcocondyles1214931452
Janus Lascaris1214921472
Guillaume Budé1214731486, 1491
Jakob Milich1214701524
Jakob Milich1214701520
Jean Tagault121470
François Dubois1214701516
Jacobus (Jacques Dubois) Sylvius1214691530
Jacobus (Jacques Dubois) Sylvius121469
Erasmus Reinhold1214691535

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
0142371
118414
27048
34141
42889
52111
61556
71275
81028
9865
10662
11557
12522
13406
14386
15318
16282
17233
18184
19166
21159
20147
22134
23114
2496
2586
2678
2877
2760
2947
3143
3243
3035
3435
3532
3330
4025
3822
4122
4221
3619
3916
3713
4313
4512
4811
5211
5311
4410
4910
5610
519
468
558
507
596
605
675
544
583
623
633
813
472
572
612
652
682
712
762
872
641
661
701
721
731
741
751
771
781
791
801
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.