Top 50 Advisors

NameStudents
C.-C. Jay Kuo134
Roger Meyer Temam118
Ronold Wyeth Percival King100
Andrew Bernard Whinston98
Alexander Vasil'evich Mikhalëv98
Willi Jäger96
Leonard Salomon Ornstein95
Pekka Neittaanmäki93
Yurii Alekseevich Mitropolsky88
Ludwig Prandtl87
Kurt Mehlhorn83
Andrei Nikolayevich Kolmogorov82
David Garvin Moursund82
Selim Grigorievich Krein81
Bart De Moor81
Richard J. Eden80
Arnold Zellner78
Charles Ehresmann78
Bruce Ramon Vogeli78
Egon Krause76
Johan F. A. K. van Benthem76
Shlomo Noach (Stephen Ram) Sawilowsky75
David Hilbert75
Wilhelm Magnus74
Thomas Kailath74
Erol Gelenbe73
Neil Andrew Davidson73
Beno Eckmann72
Edward Joseph McCluskey, Jr.71
Jean-Claude Nédélec71
Tze Leung Lai70
Robert Wayne Newcomb70
Terence Paul Speed68
Anatoliy Mikhailovich Samoilenko68
Wayne Arthur Fuller67
Shing-Tung Yau67
Albert Nikolayevich Shiryaev67
Hubert Stanley Wall66
Heinz-Gerd Hegering65
David Harold Blackwell65
Dale Weldeau Jorgenson64
George Bachman63
David Roxbee Cox63
Rainer Nagel63
C. Felix (Christian) Klein63
Eduard L. Stiefel63
David Beauregard Bogy63
Gunter Schwarze62
Donald Richard Marcotte61
Roger Ware Brockett61

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Gregory Choniades130629
Manuel Bryennios130628
Theodore Metochites1306271315
Gregory Palamas130625
Nilos Kabasilas1306241363
Demetrios Kydones130623
Elissaeus Judaeus130600
Georgios Plethon Gemistos1305991380, 1393
Basilios Bessarion1305961436
Manuel Chrysoloras130572
Guarino da Verona1305711408
Vittorino da Feltre1305701416
Theodoros Gazes1305661433
Jan Standonck1305451474
Johannes Argyropoulos1305451444
Jan Standonck1305451490
Rudolf Agricola1305151478
Florens Florentius Radwyn Radewyns130515
Geert Gerardus Magnus Groote130515
Thomas von Kempen à Kempis130514
Marsilio Ficino1305141462
Cristoforo Landino130514
Alexander Hegius1305131474
Angelo Poliziano1305131477
Desiderius Erasmus1305121497 /1506
Desiderius Erasmus1305121506
Ulrich Zasius1305121501
Scipione Fortiguerra1305111493
Moses Perez130511
Georgius Hermonymus130511
Girolamo (Hieronymus Aleander) Aleandro1305101499, 1508
Demetrios Chalcocondyles1304801452
Janus Lascaris1304791472
Guillaume Budé1304601486, 1491
Jakob Milich1304561524
Jakob Milich1304561520
Erasmus Reinhold1304551535
François Dubois1304501516
Jean Tagault130450
Jacobus (Jacques Dubois) Sylvius1304491530

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
0151919
119847
27545
34424
43067
52279
61664
71390
81132
9931
10729
11609
12543
13443
14410
15330
16299
17257
18217
19181
21164
22149
20148
23122
25105
2498
2682
2880
2764
2953
3145
3239
3339
3038
3437
3529
4129
3622
4221
3820
3920
3718
4018
4318
4514
5213
5313
5512
4911
449
468
488
508
568
608
517
476
636
575
615
594
543
673
783
582
652
682
702
712
732
742
752
762
812
822
982
621
641
661
721
801
831
871
881
931
951
961
1001
1181
1341

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.