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
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
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
Paul Heinz Müller60
Roger Ware Brockett60
Ivo Wouter Molenaar60
Reinhold Baer59

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios119351
Theodore Metochites1193501315
Gregory Palamas119348
Nilos Kabasilas1193471363
Demetrios Kydones119346
Elissaeus Judaeus119323
Georgios Plethon Gemistos1193221380, 1393
Basilios Bessarion1193191436
Manuel Chrysoloras119295
Guarino da Verona1192941408
Vittorino da Feltre1192931416
Theodoros Gazes1192891433
Jan Standonck1192681474
Jan Standonck1192681490
Johannes Argyropoulos1192681444
Geert Gerardus Magnus Groote119239
Rudolf Agricola1192391478
Florens Florentius Radwyn Radewyns119239
Thomas von Kempen à Kempis119238
Alexander Hegius1192371474
Marsilio Ficino1192371462
Cristoforo Landino119237
Desiderius Erasmus1192361497 /1506
Desiderius Erasmus1192361506
Ulrich Zasius1192361501
Angelo Poliziano1192361477
Scipione Fortiguerra1192341493
Georgius Hermonymus119234
Moses Perez119234
Girolamo (Hieronymus Aleander) Aleandro1192331499, 1508
Demetrios Chalcocondyles1192031452
Janus Lascaris1192021472
Guillaume Budé1191831486, 1491
Jakob Milich1191801524
Jakob Milich1191801520
Jean Tagault119180
François Dubois1191801516
Jacobus (Jacques Dubois) Sylvius1191791530
Jacobus (Jacques Dubois) Sylvius119179
Erasmus Reinhold1191791535

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
0140455
118143
26976
34076
42845
52070
61547
71262
8998
9860
10646
11566
12500
13410
14375
15309
16282
17231
18174
19165
21156
20148
22135
23107
24105
2580
2677
2872
2758
2945
3243
3140
3439
3036
3531
3327
3823
4122
4021
4219
3618
3917
3713
4313
4512
4411
5211
5311
4810
4910
519
559
569
598
507
676
465
544
814
473
583
603
623
773
572
612
632
642
652
712
661
681
701
721
731
741
751
761
781
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.