Top 50 Advisors

NameStudents
C.-C. Jay Kuo134
Roger Meyer Temam118
Ronold Wyeth Percival King100
Andrew Bernard Whinston98
Alexander Vasil'evich Mikhalëv98
Willi Jäger96
Pekka Neittaanmäki95
Leonard Salomon Ornstein95
Yurii Alekseevich Mitropolsky88
Ludwig Prandtl87
Kurt Mehlhorn83
Andrei Nikolayevich Kolmogorov82
David Garvin Moursund82
Selim Grigorievich Krein81
Bart De Moor81
Richard J. Eden80
Bruce Ramon Vogeli78
Charles Ehresmann78
Arnold Zellner78
Johan F. A. K. van Benthem76
Shlomo Noach (Stephen Ram) Sawilowsky76
Egon Krause76
David Hilbert75
Wilhelm Magnus74
Thomas Kailath74
Neil Andrew Davidson73
Erol Gelenbe73
Beno Eckmann72
Edward Joseph McCluskey, Jr.71
Jean-Claude Nédélec71
Tze Leung Lai70
Robert Wayne Newcomb70
Terence Paul Speed68
Anatoliy Mikhailovich Samoilenko68
Wayne Arthur Fuller67
Shing-Tung Yau67
Albert Nikolayevich Shiryaev67
Hubert Stanley Wall66
Heinz-Gerd Hegering65
David Harold Blackwell65
Dale Weldeau Jorgenson64
Eduard L. Stiefel63
David Roxbee Cox63
Rainer Nagel63
C. Felix (Christian) Klein63
George Bachman63
David Beauregard Bogy63
Gunter Schwarze62
Donald Richard Marcotte61
Alexandre Aleksandrovich Kirillov61

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Shams ad-Din Al-Bukhari131315
Gregory Chioniadis131314
Manuel Bryennios131313
Theodore Metochites1313121315
Gregory Palamas131310
Nilos Kabasilas1313091363
Demetrios Kydones131308
Elissaeus Judaeus131285
Georgios Plethon Gemistos1312841380, 1393
Basilios Bessarion1312811436
Manuel Chrysoloras131257
Guarino da Verona1312561408
Vittorino da Feltre1312551416
Theodoros Gazes1312511433
Jan Standonck1312301474
Jan Standonck1312301490
Johannes Argyropoulos1312301444
Florens Florentius Radwyn Radewyns131200
Rudolf Agricola1312001478
Geert Gerardus Magnus Groote131200
Marsilio Ficino1311991462
Cristoforo Landino131199
Thomas von Kempen à Kempis131199
Angelo Poliziano1311981477
Alexander Hegius1311981474
Ulrich Zasius1311971501
Desiderius Erasmus1311971506
Desiderius Erasmus1311971497 /1506
Georgius Hermonymus131196
Scipione Fortiguerra1311961493
Moses Perez131196
Girolamo (Hieronymus Aleander) Aleandro1311951499, 1508
Demetrios Chalcocondyles1311651452
Janus Lascaris1311641472
Guillaume Budé1311451486, 1491
Jakob Milich1311411524
Jakob Milich1311411520
Erasmus Reinhold1311401535
François Dubois1311351516
Jean Tagault131135

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
0152652
119936
27574
34459
43080
52291
61666
71386
81149
9927
10741
11605
12547
13448
14409
15331
16303
17261
18210
19188
21164
22152
20148
23123
25112
2491
2881
2680
2766
2954
3142
3341
3440
3039
3239
3529
4127
4223
3622
3822
3920
4319
4017
3716
4514
5213
5313
5512
4911
5010
609
448
468
568
487
517
476
636
575
615
594
543
673
763
783
582
652
682
702
712
732
742
812
822
952
982
621
641
661
721
751
801
831
871
881
961
1001
1181
1341

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.