Top 50 Advisors

NameStudents
C.-C. Jay Kuo121
Roger Meyer Temam112
Ronold Wyeth Percival King100
Andrew Bernard Whinston97
Leonard Salomon Ornstein95
Willi Jäger91
Ludwig Prandtl88
Yurii Alekseevich Mitropolsky87
Alexander Vasil'evich Mikhalëv85
Andrei Nikolayevich Kolmogorov82
David Garvin Moursund82
Selim Grigorievich Krein81
Pekka Neittaanmäki81
Arnold Zellner81
Richard J. Eden80
Charles Ehresmann78
Bart De Moor77
Bruce Ramon Vogeli77
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
Johan F. A. K. van Benthem67
Wayne Arthur Fuller67
Terence Paul Speed67
Hubert Stanley Wall66
Shing-Tung Yau66
David Harold Blackwell65
Heinz-Gerd Hegering65
Shlomo Noach (Stephen Ram) Sawilowsky64
George Bachman63
Eduard L. Stiefel63
C. Felix (Christian) Klein63
David Roxbee Cox62
David Beauregard Bogy62
Gunter Schwarze62
Donald Richard Marcotte61
Albert Nikolayevich Shiryaev61
Alexandre Aleksandrovich Kirillov61
Ivo Wouter Molenaar60
Paul Heinz Müller60
Roger Ware Brockett60
Anatoli V. Skorokhod59
Takeo Kanade59
Peter Charles Bonest Phillips59

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Gregory Palamas115885
Nilos Kabasilas1158841363
Demetrios Kydones115883
Elissaeus Judaeus115860
Georgios Plethon Gemistos1158591380, 1393
Basilios Bessarion1158571436
Manuel Chrysoloras115838
Guarino da Verona1158371408
Vittorino da Feltre1158361416
Theodoros Gazes1158321433
Jan Standonck1158111474, 1490
Rudolf Agricola1157831478
Florens Florentius Radwyn Radewyns115783
Geert Gerardus Magnus Groote115783
Thomas von Kempen à Kempis115782
Georgius Hermonymus115782
Alexander Hegius1157811474
Desiderius Erasmus1157801506
Desiderius Erasmus1157801497 /1506
Ulrich Zasius1157801501
Demetrios Chalcocondyles1157521452
Janus Lascaris1157511472
Guillaume Budé1157321486, 1491
Jakob Milich1157301520, 1524
Erasmus Reinhold1157291535
Jacques Toussain1157211521
Heinrich von Langenstein1127241363, 1375
Johannes von Gmunden1127231406
Georg von Peuerbach1127221440
Luca Pacioli112721
Johannes Müller Regiomontanus1127211457
Bonifazius Erasmi1127201509
Leonhard (Leonard Vitreatoris z Dobczyc) von Dobschütz1127201489
Domenico Maria Novara da Ferrara1127201483
Nicolaus (Mikołaj Kopernik) Copernicus1127191499
Johannes Volmar1127191515
Georg Joachim von Leuchen Rheticus1127181535
Friedrich Leibniz1126731622
Jakob Thomasius1126721643
Thomas Cranmer1090391515

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
0136435
117657
26780
33913
42752
52019
61493
71196
8959
9831
10619
11548
12481
13404
14369
15286
16271
17225
18170
19162
21151
20146
22132
23103
2493
2678
2575
2761
2861
2950
3144
3037
3237
3435
3529
3325
4023
3822
3618
4118
4218
3716
3916
4314
5012
5211
5311
5510
449
459
599
488
518
467
477
566
494
544
583
603
613
623
633
673
813
572
652
662
712
772
822
641
681
701
721
731
741
751
761
781
801
851
871
881
911
951
971
1001
1121
1211

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.