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
Bart De Moor80
Arnold Zellner80
Richard J. Eden80
Bruce Ramon Vogeli78
Charles Ehresmann78
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
Albert Nikolayevich Shiryaev67
Wayne Arthur Fuller67
Shing-Tung Yau67
Terence Paul Speed67
Johan F. A. K. van Benthem67
Hubert Stanley Wall66
Heinz-Gerd Hegering65
David Harold Blackwell65
Erol Gelenbe64
George Bachman63
C. Felix (Christian) Klein63
Eduard L. Stiefel63
David Roxbee Cox62
Gunter Schwarze62
David Beauregard Bogy62
Rainer Nagel62
Donald Richard Marcotte61
Alexandre Aleksandrovich Kirillov61
Roger Ware Brockett61
Reinhold Baer60
Joseph Bishop Keller60

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios123455
Theodore Metochites1234541315
Gregory Palamas123452
Nilos Kabasilas1234511363
Demetrios Kydones123450
Elissaeus Judaeus123427
Georgios Plethon Gemistos1234261380, 1393
Basilios Bessarion1234231436
Manuel Chrysoloras123399
Guarino da Verona1233981408
Vittorino da Feltre1233971416
Theodoros Gazes1233931433
Jan Standonck1233721474
Johannes Argyropoulos1233721444
Jan Standonck1233721490
Geert Gerardus Magnus Groote123343
Rudolf Agricola1233431478
Florens Florentius Radwyn Radewyns123343
Thomas von Kempen à Kempis123342
Alexander Hegius1233411474
Cristoforo Landino123341
Marsilio Ficino1233411462
Desiderius Erasmus1233401497 /1506
Angelo Poliziano1233401477
Desiderius Erasmus1233401506
Ulrich Zasius1233401501
Georgius Hermonymus123338
Moses Perez123338
Scipione Fortiguerra1233381493
Girolamo (Hieronymus Aleander) Aleandro1233371499, 1508
Demetrios Chalcocondyles1233071452
Janus Lascaris1233061472
Guillaume Budé1232871486, 1491
Jakob Milich1232841524
Jakob Milich1232841520
Erasmus Reinhold1232831535
Jean Tagault123277
François Dubois1232771516
Jacques Toussain1232761521
Jacobus (Jacques Dubois) Sylvius1232761530

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
0144713
118781
27186
34216
42918
52138
61579
71321
81051
9887
10678
11566
12515
13429
14384
15326
16288
17243
18191
19172
20152
21147
22141
23114
24103
2589
2675
2875
2763
2953
3142
3239
3036
3436
3334
3530
4126
3821
4021
4221
3620
3920
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.