Top 50 Advisors

NameStudents
C.-C. Jay Kuo125
Roger Meyer Temam115
Ronold Wyeth Percival King100
Andrew Bernard Whinston97
Leonard Salomon Ornstein95
Willi Jäger93
Ludwig Prandtl87
Yurii Alekseevich Mitropolsky87
Alexander Vasil'evich Mikhalëv85
David Garvin Moursund82
Pekka Neittaanmäki81
Arnold Zellner81
Selim Grigorievich Krein81
Andrei Nikolayevich Kolmogorov81
Richard J. Eden80
Charles Ehresmann78
Bruce Ramon Vogeli77
Bart De Moor77
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
Johan F. A. K. van Benthem67
Terence Paul Speed67
Shing-Tung Yau67
Wayne Arthur Fuller67
Shlomo Noach (Stephen Ram) Sawilowsky67
Hubert Stanley Wall66
Albert Nikolayevich Shiryaev66
David Harold Blackwell65
Heinz-Gerd Hegering65
Erol Gelenbe64
C. Felix (Christian) Klein64
George Bachman63
Eduard L. Stiefel63
David Roxbee Cox62
Gunter Schwarze62
David Beauregard Bogy62
Alexandre Aleksandrovich Kirillov61
Donald Richard Marcotte61
Paul Heinz Müller60
Roger Ware Brockett60
Ivo Wouter Molenaar60
Reinhold Baer59

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios119038
Theodore Metochites1190371315
Gregory Palamas119035
Nilos Kabasilas1190341363
Demetrios Kydones119033
Elissaeus Judaeus119010
Georgios Plethon Gemistos1190091380, 1393
Basilios Bessarion1190061436
Manuel Chrysoloras118982
Guarino da Verona1189811408
Vittorino da Feltre1189801416
Theodoros Gazes1189761433
Jan Standonck1189551490
Jan Standonck1189551474
Johannes Argyropoulos1189551444
Geert Gerardus Magnus Groote118926
Rudolf Agricola1189261478
Florens Florentius Radwyn Radewyns118926
Thomas von Kempen à Kempis118925
Alexander Hegius1189241474
Marsilio Ficino1189241462
Cristoforo Landino118924
Desiderius Erasmus1189231497 /1506
Desiderius Erasmus1189231506
Ulrich Zasius1189231501
Angelo Poliziano1189231477
Scipione Fortiguerra1189211493
Georgius Hermonymus118921
Moses Perez118921
Girolamo (Hieronymus Aleander) Aleandro1189201499, 1508
Demetrios Chalcocondyles1188911452
Janus Lascaris1188901472
Guillaume Budé1188711486, 1491
Jakob Milich1188681520
Jakob Milich1188681524
François Dubois1188681516
Jean Tagault118868
Jacobus (Jacques Dubois) Sylvius118867
Jacobus (Jacques Dubois) Sylvius1188671530
Erasmus Reinhold1188671535

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
0140100
118102
26969
34048
42847
52071
61539
71254
8996
9857
10645
11562
12495
13413
14373
15305
16281
17231
18172
19166
21159
20149
22134
23106
24103
2579
2675
2870
2759
2945
3142
3241
3439
3037
3531
3326
3823
4122
4021
4219
3618
3917
4314
3713
4512
5211
5311
4410
4810
499
519
559
569
508
598
465
675
544
814
473
583
603
623
773
572
612
632
642
652
662
712
872
681
701
721
731
741
751
761
781
801
821
851
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.