Top 50 Advisors

NameStudents
C.-C. Jay Kuo126
Roger Meyer Temam116
Ronold Wyeth Percival King100
Andrew Bernard Whinston97
Leonard Salomon Ornstein95
Willi Jäger93
Yurii Alekseevich Mitropolsky88
Ludwig Prandtl87
Pekka Neittaanmäki87
Alexander Vasil'evich Mikhalëv85
David Garvin Moursund82
Andrei Nikolayevich Kolmogorov81
Selim Grigorievich Krein81
Richard J. Eden80
Arnold Zellner80
Bart De Moor80
Charles Ehresmann78
Bruce Ramon Vogeli77
Egon Krause76
Kurt Mehlhorn76
David Hilbert75
Wilhelm Magnus74
Neil Andrew Davidson73
Beno Eckmann72
Jean-Claude Nédélec71
Edward Joseph McCluskey, Jr.71
Robert Wayne Newcomb70
Shlomo Noach (Stephen Ram) Sawilowsky69
Anatoliy Mikhailovich Samoilenko68
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
George Bachman63
C. Felix (Christian) Klein63
Eduard L. Stiefel63
Rainer Nagel62
David Beauregard Bogy62
Gunter Schwarze62
David Roxbee Cox62
Roger Ware Brockett61
Donald Richard Marcotte61
Alexandre Aleksandrovich Kirillov61
Paul Heinz Müller60
Peter Charles Bonest Phillips60

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios122329
Theodore Metochites1223281315
Gregory Palamas122326
Nilos Kabasilas1223251363
Demetrios Kydones122324
Elissaeus Judaeus122301
Georgios Plethon Gemistos1223001380, 1393
Basilios Bessarion1222971436
Manuel Chrysoloras122273
Guarino da Verona1222721408
Vittorino da Feltre1222711416
Theodoros Gazes1222671433
Jan Standonck1222461474
Jan Standonck1222461490
Johannes Argyropoulos1222461444
Rudolf Agricola1222171478
Geert Gerardus Magnus Groote122217
Florens Florentius Radwyn Radewyns122217
Thomas von Kempen à Kempis122216
Alexander Hegius1222151474
Cristoforo Landino122215
Marsilio Ficino1222151462
Desiderius Erasmus1222141497 /1506
Angelo Poliziano1222141477
Ulrich Zasius1222141501
Desiderius Erasmus1222141506
Moses Perez122212
Georgius Hermonymus122212
Scipione Fortiguerra1222121493
Girolamo (Hieronymus Aleander) Aleandro1222111499, 1508
Demetrios Chalcocondyles1221811452
Janus Lascaris1221801472
Guillaume Budé1221611486, 1491
François Dubois1221581516
Jakob Milich1221581520
Jakob Milich1221581524
Jean Tagault122158
Jacobus (Jacques Dubois) Sylvius1221571530
Erasmus Reinhold1221571535
Jacobus (Jacques Dubois) Sylvius122157

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
0143649
118665
27127
34178
42901
52136
61563
71315
81043
9877
10672
11559
12519
13414
14391
15318
16290
17236
18188
19169
21152
20150
22140
23111
24102
2585
2881
2675
2759
2949
3242
3141
3038
3434
3333
3531
4125
4022
3821
3620
4219
3918
3715
4314
4513
4811
5111
5211
5310
449
569
498
558
467
507
545
595
605
675
474
624
573
613
633
803
582
652
712
762
812
872
641
661
681
691
701
721
731
741
751
771
781
821
851
881
931
951
971
1001
1161
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.