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
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
Johan F. A. K. van Benthem67
Wayne Arthur Fuller67
Shing-Tung Yau67
Terence Paul Speed67
Albert Nikolayevich Shiryaev66
Hubert Stanley Wall66
Shlomo Noach (Stephen Ram) Sawilowsky65
David Harold Blackwell65
Heinz-Gerd Hegering65
Erol Gelenbe64
C. Felix (Christian) Klein64
George Bachman63
Eduard L. Stiefel63
David Roxbee Cox62
Gunter Schwarze62
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 Bryennios118258
Theodore Metochites1182571315
Gregory Palamas118256
Nilos Kabasilas1182551363
Demetrios Kydones118254
Elissaeus Judaeus118231
Georgios Plethon Gemistos1182301380, 1393
Basilios Bessarion1182271436
Manuel Chrysoloras118203
Guarino da Verona1182021408
Vittorino da Feltre1182011416
Theodoros Gazes1181971433
Jan Standonck1181761490
Jan Standonck1181761474
Johannes Argyropoulos1181761444
Geert Gerardus Magnus Groote118147
Rudolf Agricola1181471478
Florens Florentius Radwyn Radewyns118147
Thomas von Kempen à Kempis118146
Alexander Hegius1181451474
Marsilio Ficino1181451462
Cristoforo Landino118145
Desiderius Erasmus1181441497 /1506
Desiderius Erasmus1181441506
Ulrich Zasius1181441501
Angelo Poliziano1181441477
Georgius Hermonymus118142
Scipione Fortiguerra1181421493
Moses Perez118142
Girolamo (Hieronymus Aleander) Aleandro1181411499, 1508
Demetrios Chalcocondyles1181121452
Janus Lascaris1181111472
Guillaume Budé1180921486, 1491
Jakob Milich1180891524
Jakob Milich1180891520
Jean Tagault118089
François Dubois1180891516
Jacobus (Jacques Dubois) Sylvius118088
Jacobus (Jacques Dubois) Sylvius1180881530
Erasmus Reinhold1180881535

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
0139301
117990
26916
34001
42824
52066
61547
71226
8983
9854
10640
11556
12494
13418
14370
15300
16277
17233
18174
19161
21154
20149
22132
23107
24102
2578
2678
2867
2759
2944
3243
3141
3439
3036
3531
3324
3824
4021
4121
3620
4218
3917
3714
4314
4512
5211
5311
4810
5510
519
448
498
508
568
598
465
474
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.