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
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
C. Felix (Christian) Klein64
Eduard L. Stiefel63
George Bachman63
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
Anatoli V. Skorokhod59
Jack Keil Wolf59

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios115970
Theodore Metochites1159691315
Gregory Palamas115968
Nilos Kabasilas1159671363
Demetrios Kydones115966
Elissaeus Judaeus115943
Georgios Plethon Gemistos1159421380, 1393
Basilios Bessarion1159391436
Manuel Chrysoloras115915
Guarino da Verona1159141408
Vittorino da Feltre1159131416
Theodoros Gazes1159091433
Jan Standonck1158881474
Jan Standonck1158881490
Johannes Argyropoulos1158881444
Geert Gerardus Magnus Groote115859
Rudolf Agricola1158591478
Florens Florentius Radwyn Radewyns115859
Thomas von Kempen à Kempis115858
Alexander Hegius1158571474
Marsilio Ficino1158571462
Cristoforo Landino115857
Desiderius Erasmus1158561497 /1506
Desiderius Erasmus1158561506
Ulrich Zasius1158561501
Angelo Poliziano1158561477
Scipione Fortiguerra1158541493
Georgius Hermonymus115854
Moses Perez115854
Girolamo (Hieronymus Aleander) Aleandro1158531499, 1508
Demetrios Chalcocondyles1158241452
Janus Lascaris1158231472
Guillaume Budé1158041486, 1491
Jakob Milich1158011524
Jakob Milich1158011520
François Dubois1158011516
Jean Tagault115801
Jacobus (Jacques Dubois) Sylvius1158001530
Jacobus (Jacques Dubois) Sylvius115800
Erasmus Reinhold1158001535

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
0138819
117936
26905
33986
42804
52050
61545
71224
8980
9848
10634
11554
12492
13419
14371
15299
16274
17233
18173
19165
21152
20144
22132
23108
24104
2678
2576
2866
2759
2946
3242
3140
3439
3036
3531
3324
3824
4122
3621
4021
4217
3916
3714
4314
4512
5211
5311
5511
519
448
488
498
508
598
567
476
465
544
584
674
814
603
623
653
572
612
632
662
712
772
872
641
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.