Top 50 Advisors

NameStudents
C.-C. Jay Kuo126
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 Moor80
Charles Ehresmann78
Bruce Ramon Vogeli77
Kurt Mehlhorn76
Egon Krause76
David Hilbert75
Wilhelm Magnus74
Neil Andrew Davidson73
Beno Eckmann72
Edward Joseph McCluskey, Jr.71
Jean-Claude Nédélec71
Robert Wayne Newcomb70
Shlomo Noach (Stephen Ram) Sawilowsky69
Anatoliy Mikhailovich Samoilenko68
Albert Nikolayevich Shiryaev67
Terence Paul Speed67
Johan F. A. K. van Benthem67
Wayne Arthur Fuller67
Shing-Tung Yau67
Hubert Stanley Wall66
Heinz-Gerd Hegering65
David Harold Blackwell65
Erol Gelenbe64
George Bachman63
C. Felix (Christian) Klein63
Eduard L. Stiefel63
David Roxbee Cox62
Gunter Schwarze62
David Beauregard Bogy62
Alexandre Aleksandrovich Kirillov61
Donald Richard Marcotte61
Roger Ware Brockett61
Reinhold Baer60
Paul Heinz Müller60
Rainer Nagel60

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios121900
Theodore Metochites1218991315
Gregory Palamas121897
Nilos Kabasilas1218961363
Demetrios Kydones121895
Elissaeus Judaeus121872
Georgios Plethon Gemistos1218711380, 1393
Basilios Bessarion1218681436
Manuel Chrysoloras121844
Guarino da Verona1218431408
Vittorino da Feltre1218421416
Theodoros Gazes1218381433
Jan Standonck1218171490
Johannes Argyropoulos1218171444
Jan Standonck1218171474
Geert Gerardus Magnus Groote121788
Rudolf Agricola1217881478
Florens Florentius Radwyn Radewyns121788
Thomas von Kempen à Kempis121787
Alexander Hegius1217861474
Marsilio Ficino1217861462
Cristoforo Landino121786
Desiderius Erasmus1217851506
Angelo Poliziano1217851477
Desiderius Erasmus1217851497 /1506
Ulrich Zasius1217851501
Georgius Hermonymus121783
Scipione Fortiguerra1217831493
Moses Perez121783
Girolamo (Hieronymus Aleander) Aleandro1217821499, 1508
Demetrios Chalcocondyles1217521452
Janus Lascaris1217511472
Guillaume Budé1217321486, 1491
Jakob Milich1217291520
Jakob Milich1217291524
Jean Tagault121729
François Dubois1217291516
Jacobus (Jacques Dubois) Sylvius1217281530
Jacobus (Jacques Dubois) Sylvius121728
Erasmus Reinhold1217281535

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
0143223
118582
27096
34163
42906
52120
61558
71304
81037
9872
10669
11560
12520
13416
14390
15311
16289
17237
18185
19168
21154
20150
22138
23112
2499
2586
2879
2674
2761
2951
3142
3242
3035
3434
3332
3531
4024
4123
3822
3621
4220
3917
4314
3713
4513
4811
5211
5110
5310
569
448
498
508
558
467
545
595
605
675
474
573
583
613
623
633
813
652
712
762
802
872
641
661
681
691
701
721
731
741
751
771
781
821
851
881
931
951
971
1001
1151
1261

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.