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
Arnold Zellner81
Selim Grigorievich Krein81
Andrei Nikolayevich Kolmogorov81
Pekka Neittaanmäki81
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
Terence Paul Speed67
Wayne Arthur Fuller67
Shing-Tung Yau67
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
Anatoli V. Skorokhod59

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios118453
Theodore Metochites1184521315
Gregory Palamas118451
Nilos Kabasilas1184501363
Demetrios Kydones118449
Elissaeus Judaeus118426
Georgios Plethon Gemistos1184251380, 1393
Basilios Bessarion1184221436
Manuel Chrysoloras118398
Guarino da Verona1183971408
Vittorino da Feltre1183961416
Theodoros Gazes1183921433
Johannes Argyropoulos1183711444
Jan Standonck1183711490
Jan Standonck1183711474
Geert Gerardus Magnus Groote118342
Florens Florentius Radwyn Radewyns118342
Rudolf Agricola1183421478
Thomas von Kempen à Kempis118341
Alexander Hegius1183401474
Marsilio Ficino1183401462
Cristoforo Landino118340
Desiderius Erasmus1183391506
Ulrich Zasius1183391501
Desiderius Erasmus1183391497 /1506
Angelo Poliziano1183391477
Moses Perez118337
Georgius Hermonymus118337
Scipione Fortiguerra1183371493
Girolamo (Hieronymus Aleander) Aleandro1183361499, 1508
Demetrios Chalcocondyles1183071452
Janus Lascaris1183061472
Guillaume Budé1182871486, 1491
François Dubois1182841516
Jakob Milich1182841520
Jean Tagault118284
Jakob Milich1182841524
Jacobus (Jacques Dubois) Sylvius1182831530
Erasmus Reinhold1182831535
Jacobus (Jacques Dubois) Sylvius118283

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
0139514
118015
26936
34017
42835
52062
61549
71234
8985
9854
10640
11555
12494
13421
14368
15301
16277
17237
18173
19160
21156
20151
22131
23107
24101
2579
2675
2869
2759
2945
3142
3242
3440
3036
3531
3825
3324
4122
4021
3619
4218
3916
3714
4313
4512
4811
5211
5311
449
519
559
569
498
508
598
465
544
674
814
473
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.