Top 50 Advisors

NameStudents
C.-C. Jay Kuo125
Roger Meyer Temam112
Ronold Wyeth Percival King100
Andrew Bernard Whinston97
Leonard Salomon Ornstein95
Willi Jäger92
Ludwig Prandtl87
Yurii Alekseevich Mitropolsky87
Alexander Vasil'evich Mikhalëv85
David Garvin Moursund82
Andrei Nikolayevich Kolmogorov81
Selim Grigorievich Krein81
Pekka Neittaanmäki81
Arnold Zellner81
Richard J. Eden80
Charles Ehresmann78
Bruce Ramon Vogeli77
Bart De Moor77
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
Shing-Tung Yau67
Wayne Arthur Fuller67
Johan F. A. K. van Benthem67
Terence Paul Speed67
Hubert Stanley Wall66
Shlomo Noach (Stephen Ram) Sawilowsky65
David Harold Blackwell65
Heinz-Gerd Hegering65
C. Felix (Christian) Klein64
Albert Nikolayevich Shiryaev64
George Bachman63
Eduard L. Stiefel63
David Roxbee Cox62
David Beauregard Bogy62
Gunter Schwarze62
Donald Richard Marcotte61
Alexandre Aleksandrovich Kirillov61
Paul Heinz Müller60
Roger Ware Brockett60
Ivo Wouter Molenaar60
Anatoli V. Skorokhod59
Takeo Kanade59
Peter Charles Bonest Phillips59

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Gregory Palamas115476
Nilos Kabasilas1154751363
Demetrios Kydones115474
Elissaeus Judaeus115451
Georgios Plethon Gemistos1154501380, 1393
Basilios Bessarion1154471436
Manuel Chrysoloras115423
Guarino da Verona1154221408
Vittorino da Feltre1154211416
Theodoros Gazes1154171433
Johannes Argyropoulos1153961444
Jan Standonck1153961474
Jan Standonck1153961490
Geert Gerardus Magnus Groote115367
Rudolf Agricola1153671478
Florens Florentius Radwyn Radewyns115367
Thomas von Kempen à Kempis115366
Marsilio Ficino1153651462
Alexander Hegius1153651474
Cristoforo Landino115365
Angelo Poliziano1153641477
Desiderius Erasmus1153641497 /1506
Ulrich Zasius1153641501
Desiderius Erasmus1153641506
Moses Perez115362
Georgius Hermonymus115362
Scipione Fortiguerra1153621493
Girolamo (Hieronymus Aleander) Aleandro1153611499, 1508
Demetrios Chalcocondyles1153321452
Janus Lascaris1153311472
Guillaume Budé1153121486, 1491
Jean Tagault115309
François Dubois1153091516
Jakob Milich1153091524
Jakob Milich1153091520
Jacobus (Jacques Dubois) Sylvius1153081530
Jacobus (Jacques Dubois) Sylvius115308
Erasmus Reinhold1153081535
Rutger Rescius1153071513
Johannes Winter von Andernach1153061527

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
0138268
117896
26875
33969
42785
52036
61544
71208
8980
9844
10626
11561
12486
13417
14375
15294
16269
17233
18172
19166
21154
20141
22136
23106
2499
2679
2574
2864
2761
2947
3244
3139
3438
3035
3534
3323
3823
4022
4121
3619
4218
3916
3714
4314
5213
4512
5511
5310
489
519
508
598
447
497
476
566
465
544
584
674
814
603
623
653
572
612
632
642
712
772
872
661
681
701
721
731
741
751
761
781
801
821
851
921
951
971
1001
1121
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.