Top 50 Advisors

NameStudents
C.-C. Jay Kuo125
Roger Meyer Temam114
Ronold Wyeth Percival King100
Andrew Bernard Whinston97
Leonard Salomon Ornstein95
Willi Jäger92
Yurii Alekseevich Mitropolsky87
Ludwig Prandtl87
Alexander Vasil'evich Mikhalëv85
David Garvin Moursund82
Selim Grigorievich Krein81
Andrei Nikolayevich Kolmogorov81
Pekka Neittaanmäki81
Arnold Zellner81
Richard J. Eden80
Charles Ehresmann78
Bart De Moor77
Bruce Ramon Vogeli77
Egon Krause76
David Hilbert75
Wilhelm Magnus74
Neil Andrew Davidson73
Kurt Mehlhorn73
Beno Eckmann72
Edward Joseph McCluskey, Jr.71
Jean-Claude Nédélec71
Robert Wayne Newcomb70
Anatoliy Mikhailovich Samoilenko68
Wayne Arthur Fuller67
Shing-Tung Yau67
Terence Paul Speed67
Johan F. A. K. van Benthem67
Albert Nikolayevich Shiryaev66
Hubert Stanley Wall66
Shlomo Noach (Stephen Ram) Sawilowsky65
David Harold Blackwell65
Heinz-Gerd Hegering65
C. Felix (Christian) Klein64
Erol Gelenbe64
George Bachman63
Eduard L. Stiefel63
David Beauregard Bogy62
David Roxbee Cox62
Gunter Schwarze62
Donald Richard Marcotte61
Alexandre Aleksandrovich Kirillov61
Paul Heinz Müller60
Ivo Wouter Molenaar60
Roger Ware Brockett60
Joseph Bishop Keller59

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios118027
Theodore Metochites1180261315
Gregory Palamas118025
Nilos Kabasilas1180241363
Demetrios Kydones118023
Elissaeus Judaeus118000
Georgios Plethon Gemistos1179991380, 1393
Basilios Bessarion1179961436
Manuel Chrysoloras117972
Guarino da Verona1179711408
Vittorino da Feltre1179701416
Theodoros Gazes1179661433
Jan Standonck1179451474
Johannes Argyropoulos1179451444
Jan Standonck1179451490
Geert Gerardus Magnus Groote117916
Rudolf Agricola1179161478
Florens Florentius Radwyn Radewyns117916
Thomas von Kempen à Kempis117915
Marsilio Ficino1179141462
Alexander Hegius1179141474
Cristoforo Landino117914
Desiderius Erasmus1179131506
Angelo Poliziano1179131477
Ulrich Zasius1179131501
Desiderius Erasmus1179131497 /1506
Georgius Hermonymus117911
Moses Perez117911
Scipione Fortiguerra1179111493
Girolamo (Hieronymus Aleander) Aleandro1179101499, 1508
Demetrios Chalcocondyles1178811452
Janus Lascaris1178801472
Guillaume Budé1178611486, 1491
François Dubois1178581516
Jakob Milich1178581524
Jakob Milich1178581520
Jean Tagault117858
Jacobus (Jacques Dubois) Sylvius1178571530
Erasmus Reinhold1178571535
Jacobus (Jacques Dubois) Sylvius117857

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
0138968
117963
26898
33991
42817
52055
61542
71222
8981
9851
10635
11555
12494
13417
14371
15300
16275
17233
18172
19165
21153
20144
22132
23107
24105
2677
2576
2865
2760
2944
3142
3242
3439
3036
3531
3324
3824
4122
3621
4021
4217
3916
3714
4314
4512
5211
5311
5510
519
448
488
498
508
568
598
476
465
544
674
814
583
603
623
653
572
612
632
642
662
712
732
772
872
681
701
721
741
751
761
781
801
821
851
921
951
971
1001
1141
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.