Top 50 Advisors

NameStudents
C.-C. Jay Kuo120
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
Arnold Zellner81
Pekka Neittaanmäki81
Selim Grigorievich Krein81
Richard J. Eden80
Charles Ehresmann78
Bruce Ramon Vogeli77
Bart De Moor77
Egon Krause76
David Hilbert75
Wilhelm Magnus74
Neil Andrew Davidson73
Beno Eckmann72
Edward Joseph McCluskey, Jr.71
Jean-Claude Nédélec71
Robert Wayne Newcomb70
Terence Paul Speed69
Anatoliy Mikhailovich Samoilenko68
Johan F. A. K. van Benthem67
Wayne Arthur Fuller67
Shing-Tung Yau66
Hubert Stanley Wall66
Heinz-Gerd Hegering65
David Harold Blackwell65
Shlomo Noach (Stephen Ram) Sawilowsky64
C. Felix (Christian) Klein63
George Bachman63
Eduard L. Stiefel63
David Roxbee Cox62
Gunter Schwarze62
David Beauregard Bogy62
Alexandre Aleksandrovich Kirillov61
Donald Richard Marcotte61
Albert Nikolayevich Shiryaev60
Paul Heinz Müller60
Ivo Wouter Molenaar60
Roger Ware Brockett60
Erol Gelenbe59
Anatoli V. Skorokhod59
Reinhold Baer59

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Gregory Palamas115615
Nilos Kabasilas1156141363
Demetrios Kydones115613
Elissaeus Judaeus115590
Georgios Plethon Gemistos1155891380, 1393
Basilios Bessarion1155871436
Manuel Chrysoloras115569
Guarino da Verona1155681408
Vittorino da Feltre1155671416
Theodoros Gazes1155631433
Jan Standonck1155421474, 1490
Johannes Argyropoulos1155331444
Georgius Hermonymus115513
Cristoforo Landino115511
Marsilio Ficino1155111462
Geert Gerardus Magnus Groote115510
Rudolf Agricola1155101478
Florens Florentius Radwyn Radewyns115510
Angelo Poliziano1155101477
Thomas von Kempen à Kempis115509
Alexander Hegius1155081474
Moses Perez115508
Scipione Fortiguerra1155081493
Desiderius Erasmus1155071497 /1506
Desiderius Erasmus1155071506
Ulrich Zasius1155071501
Girolamo (Hieronymus Aleander) Aleandro1155071499, 1508
Demetrios Chalcocondyles1154831452
Janus Lascaris1154821472
Guillaume Budé1154631486, 1491
Jakob Milich1154571520, 1524
Erasmus Reinhold1154561535
Jean Tagault115455
François Dubois1154551516
Jacobus (Jacques Dubois) Sylvius1154541530
Rutger Rescius1154531513
Johannes Winter von Andernach1154521527, 1532
Jacques Toussain1154521521
Jacob ben Jehiel Loans115447
Johann (Johannes Kapnion) Reuchlin1154461477, 1481

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
0136283
117612
26768
33919
42746
52019
61479
71195
8961
9830
10623
11539
12485
13405
14367
15284
16271
17225
18168
19162
21150
20146
22132
23105
2492
2577
2677
2861
2760
2949
3145
3037
3236
3434
3528
3327
4023
3822
3619
4119
4217
3916
3715
4314
5011
5211
5311
5510
449
459
519
599
488
467
477
566
494
544
604
583
623
633
813
572
612
652
662
672
712
772
822
641
681
691
701
721
731
741
751
761
781
801
851
871
881
911
951
971
1001
1121
1201

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.