Top 50 Advisors

NameStudents
C.-C. Jay Kuo126
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
Arnold Zellner81
Andrei Nikolayevich Kolmogorov81
Selim Grigorievich Krein81
Richard J. Eden80
Bart De Moor80
Charles Ehresmann78
Bruce Ramon Vogeli77
Egon Krause76
Kurt Mehlhorn76
David Hilbert75
Wilhelm Magnus74
Neil Andrew Davidson73
Beno Eckmann72
Jean-Claude Nédélec71
Edward Joseph McCluskey, Jr.71
Robert Wayne Newcomb70
Shlomo Noach (Stephen Ram) Sawilowsky69
Anatoliy Mikhailovich Samoilenko68
Terence Paul Speed67
Albert Nikolayevich Shiryaev67
Shing-Tung Yau67
Johan F. A. K. van Benthem67
Wayne Arthur Fuller67
Hubert Stanley Wall66
David Harold Blackwell65
Heinz-Gerd Hegering65
Erol Gelenbe64
Eduard L. Stiefel63
George Bachman63
C. Felix (Christian) Klein63
David Beauregard Bogy62
David Roxbee Cox62
Gunter Schwarze62
Alexandre Aleksandrovich Kirillov61
Donald Richard Marcotte61
Roger Ware Brockett61
Rainer Nagel60
Paul Heinz Müller60
Peter Charles Bonest Phillips60

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios122134
Theodore Metochites1221331315
Gregory Palamas122131
Nilos Kabasilas1221301363
Demetrios Kydones122129
Elissaeus Judaeus122106
Georgios Plethon Gemistos1221051380, 1393
Basilios Bessarion1221021436
Manuel Chrysoloras122078
Guarino da Verona1220771408
Vittorino da Feltre1220761416
Theodoros Gazes1220721433
Jan Standonck1220511490
Johannes Argyropoulos1220511444
Jan Standonck1220511474
Geert Gerardus Magnus Groote122022
Rudolf Agricola1220221478
Florens Florentius Radwyn Radewyns122022
Thomas von Kempen à Kempis122021
Alexander Hegius1220201474
Marsilio Ficino1220201462
Cristoforo Landino122020
Angelo Poliziano1220191477
Desiderius Erasmus1220191497 /1506
Desiderius Erasmus1220191506
Ulrich Zasius1220191501
Georgius Hermonymus122017
Moses Perez122017
Scipione Fortiguerra1220171493
Girolamo (Hieronymus Aleander) Aleandro1220161499, 1508
Demetrios Chalcocondyles1219861452
Janus Lascaris1219851472
Guillaume Budé1219661486, 1491
François Dubois1219631516
Jakob Milich1219631524
Jakob Milich1219631520
Jean Tagault121963
Jacobus (Jacques Dubois) Sylvius121962
Erasmus Reinhold1219621535
Jacobus (Jacques Dubois) Sylvius1219621530

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
0143407
118610
27118
34161
42904
52127
61563
71310
81036
9877
10670
11556
12522
13414
14391
15315
16290
17237
18185
19170
21154
20148
22137
23113
24100
2587
2880
2674
2761
2950
3244
3140
3036
3433
3332
3532
4024
4123
3822
3620
4219
3917
4315
3714
4513
4811
5211
5110
5310
569
448
498
508
558
467
545
595
605
675
474
573
583
613
623
633
813
652
712
762
802
872
641
661
681
691
701
721
731
741
751
771
781
821
851
881
931
951
971
1001
1151
1261

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.