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
David Garvin Moursund82
Pekka Neittaanmäki81
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
Anatoliy Mikhailovich Samoilenko68
Albert Nikolayevich Shiryaev67
Wayne Arthur Fuller67
Johan F. A. K. van Benthem67
Terence Paul Speed67
Shing-Tung Yau67
Shlomo Noach (Stephen Ram) Sawilowsky67
Hubert Stanley Wall66
Heinz-Gerd Hegering65
David Harold Blackwell65
Erol Gelenbe64
C. Felix (Christian) Klein64
George Bachman63
Eduard L. Stiefel63
Gunter Schwarze62
David Roxbee Cox62
David Beauregard Bogy62
Alexandre Aleksandrovich Kirillov61
Donald Richard Marcotte61
Rainer Nagel60
Paul Heinz Müller60
Roger Ware Brockett60
Ivo Wouter Molenaar60

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios119739
Theodore Metochites1197381315
Gregory Palamas119736
Nilos Kabasilas1197351363
Demetrios Kydones119734
Elissaeus Judaeus119711
Georgios Plethon Gemistos1197101380, 1393
Basilios Bessarion1197071436
Manuel Chrysoloras119683
Guarino da Verona1196821408
Vittorino da Feltre1196811416
Theodoros Gazes1196771433
Jan Standonck1196561474
Jan Standonck1196561490
Johannes Argyropoulos1196561444
Geert Gerardus Magnus Groote119627
Rudolf Agricola1196271478
Florens Florentius Radwyn Radewyns119627
Thomas von Kempen à Kempis119626
Alexander Hegius1196251474
Marsilio Ficino1196251462
Cristoforo Landino119625
Desiderius Erasmus1196241497 /1506
Desiderius Erasmus1196241506
Ulrich Zasius1196241501
Angelo Poliziano1196241477
Scipione Fortiguerra1196221493
Georgius Hermonymus119622
Moses Perez119622
Girolamo (Hieronymus Aleander) Aleandro1196211499, 1508
Demetrios Chalcocondyles1195911452
Janus Lascaris1195901472
Guillaume Budé1195711486, 1491
Jakob Milich1195681520
Jakob Milich1195681524
Jean Tagault119568
François Dubois1195681516
Jacobus (Jacques Dubois) Sylvius119567
Jacobus (Jacques Dubois) Sylvius1195671530
Erasmus Reinhold1195671535

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
0140925
118208
26991
34099
42851
52073
61549
71265
8996
9865
10653
11565
12510
13413
14375
15307
16284
17232
18172
19164
21156
20149
22135
23110
24102
2682
2580
2872
2757
2946
3243
3142
3438
3034
3531
3328
4123
3822
4022
3620
4219
3916
3713
4313
4512
4411
5211
5311
4810
4910
519
559
569
507
597
466
676
544
604
814
473
583
623
572
612
632
642
652
712
772
661
681
701
721
731
741
751
761
781
791
801
821
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.