Top 50 Advisors

NameStudents
C.-C. Jay Kuo125
Roger Meyer Temam114
Ronold Wyeth Percival King100
Andrew Bernard Whinston97
Leonard Salomon Ornstein95
Willi Jäger92
Ludwig Prandtl87
Yurii Alekseevich Mitropolsky87
Alexander Vasil'evich Mikhalëv85
David Garvin Moursund82
Pekka Neittaanmäki81
Andrei Nikolayevich Kolmogorov81
Selim Grigorievich Krein81
Arnold Zellner81
Richard J. Eden80
Charles Ehresmann78
Bruce Ramon Vogeli77
Kurt Mehlhorn77
Bart De Moor77
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
Terence Paul Speed67
Wayne Arthur Fuller67
Johan F. A. K. van Benthem67
Shing-Tung Yau67
Hubert Stanley Wall66
Albert Nikolayevich Shiryaev66
Shlomo Noach (Stephen Ram) Sawilowsky65
David Harold Blackwell65
Heinz-Gerd Hegering65
Erol Gelenbe64
C. Felix (Christian) Klein64
George Bachman63
Eduard L. Stiefel63
David Beauregard Bogy62
David Roxbee Cox62
Gunter Schwarze62
Alexandre Aleksandrovich Kirillov61
Donald Richard Marcotte61
Paul Heinz Müller60
Roger Ware Brockett60
Ivo Wouter Molenaar60
Joseph Bishop Keller59

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios118199
Theodore Metochites1181981315
Gregory Palamas118197
Nilos Kabasilas1181961363
Demetrios Kydones118195
Elissaeus Judaeus118172
Georgios Plethon Gemistos1181711380, 1393
Basilios Bessarion1181681436
Manuel Chrysoloras118144
Guarino da Verona1181431408
Vittorino da Feltre1181421416
Theodoros Gazes1181381433
Jan Standonck1181171474
Jan Standonck1181171490
Johannes Argyropoulos1181171444
Geert Gerardus Magnus Groote118088
Rudolf Agricola1180881478
Florens Florentius Radwyn Radewyns118088
Thomas von Kempen à Kempis118087
Cristoforo Landino118086
Alexander Hegius1180861474
Marsilio Ficino1180861462
Ulrich Zasius1180851501
Desiderius Erasmus1180851506
Angelo Poliziano1180851477
Desiderius Erasmus1180851497 /1506
Moses Perez118083
Scipione Fortiguerra1180831493
Georgius Hermonymus118083
Girolamo (Hieronymus Aleander) Aleandro1180821499, 1508
Demetrios Chalcocondyles1180531452
Janus Lascaris1180521472
Guillaume Budé1180331486, 1491
Jakob Milich1180301520
François Dubois1180301516
Jakob Milich1180301524
Jean Tagault118030
Jacobus (Jacques Dubois) Sylvius1180291530
Jacobus (Jacques Dubois) Sylvius118029
Erasmus Reinhold1180291535

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
0139216
117982
26919
34000
42812
52061
61548
71225
8981
9855
10639
11556
12493
13418
14370
15300
16276
17234
18173
19163
21153
20148
22132
23107
24103
2578
2677
2866
2760
2944
3243
3141
3439
3036
3531
3324
3824
4021
4121
3620
4218
3917
3714
4314
4512
5211
5311
5510
489
519
448
498
508
568
598
465
475
544
674
814
583
603
623
653
773
572
612
632
642
662
712
872
681
701
721
731
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.