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 Bryennios118966
Theodore Metochites1189651315
Gregory Palamas118963
Nilos Kabasilas1189621363
Demetrios Kydones118961
Elissaeus Judaeus118938
Georgios Plethon Gemistos1189371380, 1393
Basilios Bessarion1189341436
Manuel Chrysoloras118910
Guarino da Verona1189091408
Vittorino da Feltre1189081416
Theodoros Gazes1189041433
Jan Standonck1188831474
Jan Standonck1188831490
Johannes Argyropoulos1188831444
Florens Florentius Radwyn Radewyns118854
Rudolf Agricola1188541478
Geert Gerardus Magnus Groote118854
Thomas von Kempen à Kempis118853
Alexander Hegius1188521474
Marsilio Ficino1188521462
Cristoforo Landino118852
Desiderius Erasmus1188511497 /1506
Desiderius Erasmus1188511506
Ulrich Zasius1188511501
Angelo Poliziano1188511477
Scipione Fortiguerra1188491493
Georgius Hermonymus118849
Moses Perez118849
Girolamo (Hieronymus Aleander) Aleandro1188481499, 1508
Demetrios Chalcocondyles1188191452
Janus Lascaris1188181472
Guillaume Budé1187991486, 1491
Jakob Milich1187961524
Jakob Milich1187961520
François Dubois1187961516
Jean Tagault118796
Jacobus (Jacques Dubois) Sylvius1187951530
Jacobus (Jacques Dubois) Sylvius118795
Erasmus Reinhold1187951535

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
0140035
118088
26968
34045
42842
52072
61538
71256
8994
9855
10646
11559
12495
13413
14375
15304
16280
17231
18172
19168
21158
20150
22135
23104
24102
2580
2674
2869
2760
2945
3142
3241
3439
3037
3531
3326
3823
4122
4021
4219
3618
3917
4314
3713
4512
5211
5311
4410
4810
499
519
559
569
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.