Top 50 Advisors

NameStudents
C.-C. Jay Kuo125
Roger Meyer Temam115
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
Arnold Zellner81
Selim Grigorievich Krein81
Andrei Nikolayevich Kolmogorov81
Richard J. Eden80
Bart De Moor79
Charles Ehresmann78
Bruce Ramon Vogeli77
Kurt Mehlhorn77
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
Albert Nikolayevich Shiryaev67
Wayne Arthur Fuller67
Johan F. A. K. van Benthem67
Terence Paul Speed67
Shing-Tung Yau67
Shlomo Noach (Stephen Ram) Sawilowsky67
Hubert Stanley Wall66
Heinz-Gerd Hegering65
David Harold Blackwell65
Erol Gelenbe64
C. Felix (Christian) Klein64
Eduard L. Stiefel63
George Bachman63
David Roxbee Cox62
Gunter Schwarze62
David Beauregard Bogy62
Alexandre Aleksandrovich Kirillov61
Donald Richard Marcotte61
Rainer Nagel60
Reinhold Baer60
Paul Heinz Müller60
Roger Ware Brockett60

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios120542
Theodore Metochites1205411315
Gregory Palamas120539
Nilos Kabasilas1205381363
Demetrios Kydones120537
Elissaeus Judaeus120514
Georgios Plethon Gemistos1205131380, 1393
Basilios Bessarion1205101436
Manuel Chrysoloras120486
Guarino da Verona1204851408
Vittorino da Feltre1204841416
Theodoros Gazes1204801433
Jan Standonck1204591490
Jan Standonck1204591474
Johannes Argyropoulos1204591444
Geert Gerardus Magnus Groote120430
Rudolf Agricola1204301478
Florens Florentius Radwyn Radewyns120430
Thomas von Kempen à Kempis120429
Alexander Hegius1204281474
Marsilio Ficino1204281462
Cristoforo Landino120428
Desiderius Erasmus1204271497 /1506
Desiderius Erasmus1204271506
Ulrich Zasius1204271501
Angelo Poliziano1204271477
Georgius Hermonymus120425
Moses Perez120425
Scipione Fortiguerra1204251493
Girolamo (Hieronymus Aleander) Aleandro1204241499, 1508
Demetrios Chalcocondyles1203941452
Janus Lascaris1203931472
Guillaume Budé1203741486, 1491
Jakob Milich1203711520
Jakob Milich1203711524
François Dubois1203711516
Jean Tagault120371
Jacobus (Jacques Dubois) Sylvius1203701530
Jacobus (Jacques Dubois) Sylvius120370
Erasmus Reinhold1203701535

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
0141695
118307
26998
34138
42857
52094
61561
71266
81016
9865
10657
11555
12522
13407
14381
15313
16284
17232
18177
19164
21161
20147
22135
23113
24100
2584
2680
2875
2759
2944
3243
3141
3037
3435
3531
3330
3823
4023
4123
4220
3619
3916
3713
4313
4411
4511
4811
5211
5311
4910
5610
519
558
467
507
596
676
605
544
583
623
813
472
572
612
632
642
652
712
772
872
661
681
701
721
731
741
751
761
781
791
801
821
851
881
931
951
971
1001
1151
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.