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
Pekka Neittaanmäki87
Alexander Vasil'evich Mikhalëv85
David Garvin Moursund82
Andrei Nikolayevich Kolmogorov81
Arnold Zellner81
Selim Grigorievich Krein81
Richard J. Eden80
Bart De Moor79
Charles Ehresmann78
Bruce Ramon Vogeli77
Kurt Mehlhorn77
Egon Krause76
David Hilbert75
Wilhelm Magnus74
Neil Andrew Davidson73
Beno Eckmann72
Jean-Claude Nédélec71
Edward Joseph McCluskey, Jr.71
Robert Wayne Newcomb70
Anatoliy Mikhailovich Samoilenko68
Shlomo Noach (Stephen Ram) Sawilowsky67
Terence Paul Speed67
Albert Nikolayevich Shiryaev67
Wayne Arthur Fuller67
Shing-Tung Yau67
Johan F. A. K. van Benthem67
Hubert Stanley Wall66
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
Donald Richard Marcotte61
Alexandre Aleksandrovich Kirillov61
Paul Heinz Müller60
Roger Ware Brockett60
Reinhold Baer60
Ivo Wouter Molenaar60

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios120608
Theodore Metochites1206071315
Gregory Palamas120605
Nilos Kabasilas1206041363
Demetrios Kydones120603
Elissaeus Judaeus120580
Georgios Plethon Gemistos1205791380, 1393
Basilios Bessarion1205761436
Manuel Chrysoloras120552
Guarino da Verona1205511408
Vittorino da Feltre1205501416
Theodoros Gazes1205461433
Johannes Argyropoulos1205251444
Jan Standonck1205251490
Jan Standonck1205251474
Geert Gerardus Magnus Groote120496
Rudolf Agricola1204961478
Florens Florentius Radwyn Radewyns120496
Thomas von Kempen à Kempis120495
Alexander Hegius1204941474
Cristoforo Landino120494
Marsilio Ficino1204941462
Angelo Poliziano1204931477
Desiderius Erasmus1204931497 /1506
Ulrich Zasius1204931501
Desiderius Erasmus1204931506
Moses Perez120491
Georgius Hermonymus120491
Scipione Fortiguerra1204911493
Girolamo (Hieronymus Aleander) Aleandro1204901499, 1508
Demetrios Chalcocondyles1204601452
Janus Lascaris1204591472
Guillaume Budé1204401486, 1491
François Dubois1204371516
Jakob Milich1204371524
Jakob Milich1204371520
Jean Tagault120437
Jacobus (Jacques Dubois) Sylvius1204361530
Jacobus (Jacques Dubois) Sylvius120436
Erasmus Reinhold1204361535

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
0141801
118325
27004
34135
42863
52094
61560
71266
81019
9864
10659
11555
12524
13406
14382
15313
16284
17231
18177
19165
21161
20148
22135
23113
24100
2584
2680
2876
2758
2944
3243
3141
3037
3434
3532
3330
3823
4023
4123
4220
3619
3916
3713
4313
4411
4511
4811
5211
5311
4910
5610
519
558
467
507
596
676
605
544
583
623
813
472
572
612
632
642
652
712
772
872
661
681
701
721
731
741
751
761
781
791
801
821
851
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.