Top 50 Advisors

NameStudents
C.-C. Jay Kuo126
Roger Meyer Temam117
Ronold Wyeth Percival King100
Andrew Bernard Whinston97
Leonard Salomon Ornstein95
Willi Jäger93
Yurii Alekseevich Mitropolsky88
Pekka Neittaanmäki87
Ludwig Prandtl87
Alexander Vasil'evich Mikhalëv85
David Garvin Moursund82
Selim Grigorievich Krein81
Andrei Nikolayevich Kolmogorov81
Richard J. Eden80
Arnold Zellner80
Bart De Moor80
Charles Ehresmann78
Bruce Ramon Vogeli78
Kurt Mehlhorn77
Egon Krause76
David Hilbert75
Wilhelm Magnus74
Neil Andrew Davidson73
Beno Eckmann72
Edward Joseph McCluskey, Jr.71
Jean-Claude Nédélec71
Robert Wayne Newcomb70
Shlomo Noach (Stephen Ram) Sawilowsky69
Anatoliy Mikhailovich Samoilenko68
Terence Paul Speed67
Albert Nikolayevich Shiryaev67
Shing-Tung Yau67
Wayne Arthur Fuller67
Johan F. A. K. van Benthem67
Hubert Stanley Wall66
David Harold Blackwell65
Heinz-Gerd Hegering65
Erol Gelenbe64
C. Felix (Christian) Klein63
Eduard L. Stiefel63
George Bachman63
Rainer Nagel62
David Beauregard Bogy62
Gunter Schwarze62
David Roxbee Cox62
Donald Richard Marcotte61
Alexandre Aleksandrovich Kirillov61
Roger Ware Brockett61
Paul Heinz Müller60
Joseph Bishop Keller60

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios123428
Theodore Metochites1234271315
Gregory Palamas123425
Nilos Kabasilas1234241363
Demetrios Kydones123423
Elissaeus Judaeus123400
Georgios Plethon Gemistos1233991380, 1393
Basilios Bessarion1233961436
Manuel Chrysoloras123372
Guarino da Verona1233711408
Vittorino da Feltre1233701416
Theodoros Gazes1233661433
Jan Standonck1233451490
Johannes Argyropoulos1233451444
Jan Standonck1233451474
Geert Gerardus Magnus Groote123316
Florens Florentius Radwyn Radewyns123316
Rudolf Agricola1233161478
Thomas von Kempen à Kempis123315
Cristoforo Landino123314
Alexander Hegius1233141474
Marsilio Ficino1233141462
Angelo Poliziano1233131477
Desiderius Erasmus1233131506
Desiderius Erasmus1233131497 /1506
Ulrich Zasius1233131501
Scipione Fortiguerra1233111493
Georgius Hermonymus123311
Moses Perez123311
Girolamo (Hieronymus Aleander) Aleandro1233101499, 1508
Demetrios Chalcocondyles1232801452
Janus Lascaris1232791472
Guillaume Budé1232601486, 1491
Jakob Milich1232571524
Jakob Milich1232571520
Erasmus Reinhold1232561535
Jean Tagault123250
François Dubois1232501516
Jacobus (Jacques Dubois) Sylvius123249
Jacques Toussain1232491521

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
0144689
118773
27184
34215
42917
52137
61580
71321
81049
9889
10677
11566
12515
13428
14384
15326
16288
17245
18190
19172
20151
21147
22141
23115
24102
2589
2676
2875
2762
2953
3142
3239
3036
3436
3334
3530
4126
3822
4221
3620
3920
4020
3715
4314
4513
5213
5312
4810
499
519
569
448
468
558
506
475
595
605
675
544
574
624
613
633
803
582
652
712
782
812
872
641
661
681
691
701
721
731
741
751
761
771
821
851
881
931
951
971
1001
1171
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.