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
Ludwig Prandtl87
Alexander Vasil'evich Mikhalëv85
Pekka Neittaanmäki84
David Garvin Moursund82
Andrei Nikolayevich Kolmogorov81
Selim Grigorievich Krein81
Arnold Zellner81
Richard J. Eden80
Bart De Moor79
Charles Ehresmann78
Kurt Mehlhorn77
Bruce Ramon Vogeli77
Egon Krause76
David Hilbert75
Wilhelm Magnus74
Neil Andrew Davidson73
Beno Eckmann72
Jean-Claude Nédélec71
Edward Joseph McCluskey, Jr.71
Robert Wayne Newcomb70
Anatoliy Mikhailovich Samoilenko68
Terence Paul Speed67
Shlomo Noach (Stephen Ram) Sawilowsky67
Wayne Arthur Fuller67
Albert Nikolayevich Shiryaev67
Shing-Tung Yau67
Johan F. A. K. van Benthem67
Hubert Stanley Wall66
David Harold Blackwell65
Heinz-Gerd Hegering65
Erol Gelenbe64
C. Felix (Christian) Klein64
Eduard L. Stiefel63
George Bachman63
David Beauregard Bogy62
David Roxbee Cox62
Gunter Schwarze62
Donald Richard Marcotte61
Alexandre Aleksandrovich Kirillov61
Paul Heinz Müller60
Reinhold Baer60
Roger Ware Brockett60
Ivo Wouter Molenaar60

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios119794
Theodore Metochites1197931315
Gregory Palamas119791
Nilos Kabasilas1197901363
Demetrios Kydones119789
Elissaeus Judaeus119766
Georgios Plethon Gemistos1197651380, 1393
Basilios Bessarion1197621436
Manuel Chrysoloras119738
Guarino da Verona1197371408
Vittorino da Feltre1197361416
Theodoros Gazes1197321433
Johannes Argyropoulos1197111444
Jan Standonck1197111490
Jan Standonck1197111474
Florens Florentius Radwyn Radewyns119682
Geert Gerardus Magnus Groote119682
Rudolf Agricola1196821478
Thomas von Kempen à Kempis119681
Cristoforo Landino119680
Alexander Hegius1196801474
Marsilio Ficino1196801462
Desiderius Erasmus1196791506
Desiderius Erasmus1196791497 /1506
Angelo Poliziano1196791477
Ulrich Zasius1196791501
Moses Perez119677
Scipione Fortiguerra1196771493
Georgius Hermonymus119677
Girolamo (Hieronymus Aleander) Aleandro1196761499, 1508
Demetrios Chalcocondyles1196461452
Janus Lascaris1196451472
Guillaume Budé1196261486, 1491
François Dubois1196231516
Jean Tagault119623
Jakob Milich1196231524
Jakob Milich1196231520
Jacobus (Jacques Dubois) Sylvius1196221530
Jacobus (Jacques Dubois) Sylvius119622
Erasmus Reinhold1196221535

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
0140957
118223
26990
34102
42852
52075
61547
71267
8998
9864
10653
11564
12512
13414
14375
15306
16283
17233
18173
19163
21155
20150
22136
23110
24102
2682
2580
2872
2757
2946
3142
3242
3438
3034
3531
3329
4123
3822
4022
3620
4219
3916
3713
4313
4512
4411
5211
5311
4810
4910
519
559
569
507
466
596
676
605
544
473
583
623
813
572
612
632
642
652
712
772
661
681
701
721
731
741
751
761
781
791
801
821
841
851
871
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.