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 Mitropolsky87
Ludwig Prandtl87
Alexander Vasil'evich Mikhalëv85
David Garvin Moursund82
Pekka Neittaanmäki81
Arnold Zellner81
Selim Grigorievich Krein81
Andrei Nikolayevich Kolmogorov81
Richard J. Eden80
Charles Ehresmann78
Bruce Ramon Vogeli77
Bart De Moor77
Kurt Mehlhorn77
Egon Krause76
David Hilbert75
Wilhelm Magnus74
Neil Andrew Davidson73
Beno Eckmann72
Edward Joseph McCluskey, Jr.71
Jean-Claude Nédélec71
Robert Wayne Newcomb70
Anatoliy Mikhailovich Samoilenko68
Johan F. A. K. van Benthem67
Terence Paul Speed67
Shing-Tung Yau67
Wayne Arthur Fuller67
Shlomo Noach (Stephen Ram) Sawilowsky67
Hubert Stanley Wall66
Albert Nikolayevich Shiryaev66
David Harold Blackwell65
Heinz-Gerd Hegering65
Erol Gelenbe64
C. Felix (Christian) Klein64
George Bachman63
Eduard L. Stiefel63
David Roxbee Cox62
Gunter Schwarze62
David Beauregard Bogy62
Alexandre Aleksandrovich Kirillov61
Donald Richard Marcotte61
Paul Heinz Müller60
Roger Ware Brockett60
Ivo Wouter Molenaar60
Reinhold Baer59

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios118895
Theodore Metochites1188941315
Gregory Palamas118892
Nilos Kabasilas1188911363
Demetrios Kydones118890
Elissaeus Judaeus118867
Georgios Plethon Gemistos1188661380, 1393
Basilios Bessarion1188631436
Manuel Chrysoloras118839
Guarino da Verona1188381408
Vittorino da Feltre1188371416
Theodoros Gazes1188331433
Jan Standonck1188121490
Jan Standonck1188121474
Johannes Argyropoulos1188121444
Geert Gerardus Magnus Groote118783
Rudolf Agricola1187831478
Florens Florentius Radwyn Radewyns118783
Thomas von Kempen à Kempis118782
Alexander Hegius1187811474
Marsilio Ficino1187811462
Cristoforo Landino118781
Desiderius Erasmus1187801506
Desiderius Erasmus1187801497 /1506
Ulrich Zasius1187801501
Angelo Poliziano1187801477
Georgius Hermonymus118778
Scipione Fortiguerra1187781493
Moses Perez118778
Girolamo (Hieronymus Aleander) Aleandro1187771499, 1508
Demetrios Chalcocondyles1187481452
Janus Lascaris1187471472
Guillaume Budé1187281486, 1491
Jakob Milich1187251520
Jakob Milich1187251524
Jean Tagault118725
François Dubois1187251516
Jacobus (Jacques Dubois) Sylvius1187241530
Jacobus (Jacques Dubois) Sylvius118724
Erasmus Reinhold1187241535

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
0139955
118084
26961
34042
42836
52074
61544
71253
8994
9853
10645
11558
12495
13416
14373
15304
16280
17231
18173
19166
21156
20150
22135
23104
24102
2580
2674
2869
2760
2945
3142
3241
3439
3037
3531
3326
4124
3823
4021
3618
4218
3917
3713
4313
4512
4811
5211
5311
4410
519
559
569
498
508
598
465
675
544
814
473
583
603
623
773
572
612
632
642
652
662
712
872
681
701
721
731
741
751
761
781
801
821
851
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.