Top 50 Advisors

NameStudents
C.-C. Jay Kuo126
Roger Meyer Temam117
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
Selim Grigorievich Krein81
Andrei Nikolayevich Kolmogorov81
Kurt Mehlhorn80
Arnold Zellner80
Richard J. Eden80
Bart De Moor80
Bruce Ramon Vogeli78
Charles Ehresmann78
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
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
Rainer Nagel62
David Beauregard Bogy62
Gunter Schwarze62
Donald Richard Marcotte61
Alexandre Aleksandrovich Kirillov61
Roger Ware Brockett61
Reinhold Baer60

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios123854
Theodore Metochites1238531315
Gregory Palamas123851
Nilos Kabasilas1238501363
Demetrios Kydones123849
Elissaeus Judaeus123826
Georgios Plethon Gemistos1238251380, 1393
Basilios Bessarion1238221436
Manuel Chrysoloras123798
Guarino da Verona1237971408
Vittorino da Feltre1237961416
Theodoros Gazes1237921433
Jan Standonck1237711490
Johannes Argyropoulos1237711444
Jan Standonck1237711474
Geert Gerardus Magnus Groote123741
Rudolf Agricola1237411478
Florens Florentius Radwyn Radewyns123741
Thomas von Kempen à Kempis123740
Cristoforo Landino123740
Marsilio Ficino1237401462
Alexander Hegius1237391474
Angelo Poliziano1237391477
Desiderius Erasmus1237381506
Desiderius Erasmus1237381497 /1506
Ulrich Zasius1237381501
Georgius Hermonymus123737
Scipione Fortiguerra1237371493
Moses Perez123737
Girolamo (Hieronymus Aleander) Aleandro1237361499, 1508
Demetrios Chalcocondyles1237061452
Janus Lascaris1237051472
Guillaume Budé1236861486, 1491
Jakob Milich1236821524
Jakob Milich1236821520
Erasmus Reinhold1236811535
Jean Tagault123676
François Dubois1236761516
Jacques Toussain1236751521
Jacobus (Jacques Dubois) Sylvius1236751530

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
0145139
118819
27205
34215
42937
52145
61577
71325
81064
9879
10682
11578
12512
13424
14393
15322
16288
17244
18191
19172
20156
21146
22144
23114
24103
2589
2676
2876
2762
2952
3142
3038
3437
3236
3335
3530
4126
3823
4222
3920
4020
3619
3714
4313
4513
5213
5312
4910
449
489
519
569
468
558
506
475
595
605
675
544
574
624
804
613
633
582
652
712
742
782
812
872
641
661
681
691
701
721
731
751
761
821
851
881
931
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.