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
Pekka Neittaanmäki87
Alexander Vasil'evich Mikhalëv85
David Garvin Moursund82
Arnold Zellner81
Selim Grigorievich Krein81
Andrei Nikolayevich Kolmogorov81
Richard J. Eden80
Bart De Moor79
Charles Ehresmann78
Bruce Ramon Vogeli77
Kurt Mehlhorn77
Egon Krause76
David Hilbert75
Wilhelm Magnus74
Neil Andrew Davidson73
Beno Eckmann72
Edward Joseph McCluskey, Jr.71
Jean-Claude Nédélec71
Robert Wayne Newcomb70
Shlomo Noach (Stephen Ram) Sawilowsky68
Anatoliy Mikhailovich Samoilenko68
Shing-Tung Yau67
Wayne Arthur Fuller67
Terence Paul Speed67
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
David Beauregard Bogy62
David Roxbee Cox62
Gunter Schwarze62
Donald Richard Marcotte61
Alexandre Aleksandrovich Kirillov61
Paul Heinz Müller60
Roger Ware Brockett60
Rainer Nagel60
Reinhold Baer60

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios120973
Theodore Metochites1209721315
Gregory Palamas120970
Nilos Kabasilas1209691363
Demetrios Kydones120968
Elissaeus Judaeus120945
Georgios Plethon Gemistos1209441380, 1393
Basilios Bessarion1209411436
Manuel Chrysoloras120917
Guarino da Verona1209161408
Vittorino da Feltre1209151416
Theodoros Gazes1209111433
Johannes Argyropoulos1208901444
Jan Standonck1208901490
Jan Standonck1208901474
Florens Florentius Radwyn Radewyns120861
Geert Gerardus Magnus Groote120861
Rudolf Agricola1208611478
Thomas von Kempen à Kempis120860
Alexander Hegius1208591474
Marsilio Ficino1208591462
Cristoforo Landino120859
Angelo Poliziano1208581477
Desiderius Erasmus1208581497 /1506
Ulrich Zasius1208581501
Desiderius Erasmus1208581506
Moses Perez120856
Scipione Fortiguerra1208561493
Georgius Hermonymus120856
Girolamo (Hieronymus Aleander) Aleandro1208551499, 1508
Demetrios Chalcocondyles1208251452
Janus Lascaris1208241472
Guillaume Budé1208051486, 1491
Jean Tagault120802
François Dubois1208021516
Jakob Milich1208021524
Jakob Milich1208021520
Jacobus (Jacques Dubois) Sylvius120801
Jacobus (Jacques Dubois) Sylvius1208011530
Erasmus Reinhold1208011535

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
0142249
118402
27039
34141
42880
52108
61554
71273
81028
9864
10660
11557
12525
13409
14381
15318
16279
17237
18180
19166
21159
20147
22134
23114
2496
2586
2678
2876
2762
2946
3244
3143
3436
3035
3531
3329
4024
4123
3822
4220
3619
3917
3713
4313
4512
4811
5211
5311
4410
4910
5610
519
468
558
507
596
605
675
544
583
623
633
813
472
572
612
652
682
712
772
872
641
661
701
721
731
741
751
761
781
791
801
821
851
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.