Top 50 Advisors

NameStudents
C.-C. Jay Kuo134
Roger Meyer Temam118
Ronold Wyeth Percival King100
Andrew Bernard Whinston98
Alexander Vasil'evich Mikhalëv98
Willi Jäger96
Leonard Salomon Ornstein95
Pekka Neittaanmäki95
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
Egon Krause76
Shlomo Noach (Stephen Ram) Sawilowsky75
David Hilbert75
Thomas Kailath74
Wilhelm Magnus74
Neil Andrew Davidson73
Erol Gelenbe73
Beno Eckmann72
Jean-Claude Nédélec71
Edward Joseph McCluskey, Jr.71
Robert Wayne Newcomb70
Tze Leung Lai70
Terence Paul Speed68
Anatoliy Mikhailovich Samoilenko68
Shing-Tung Yau67
Wayne Arthur Fuller67
Albert Nikolayevich Shiryaev67
Hubert Stanley Wall66
David Harold Blackwell65
Heinz-Gerd Hegering65
Dale Weldeau Jorgenson64
David Beauregard Bogy63
Rainer Nagel63
George Bachman63
David Roxbee Cox63
C. Felix (Christian) Klein63
Eduard L. Stiefel63
Gunter Schwarze62
Donald Richard Marcotte61
Roger Ware Brockett61

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Shams ad-Din Al-Bukhari131201
Gregory Chioniadis131200
Manuel Bryennios131199
Theodore Metochites1311981315
Gregory Palamas131196
Nilos Kabasilas1311951363
Demetrios Kydones131194
Elissaeus Judaeus131171
Georgios Plethon Gemistos1311701380, 1393
Basilios Bessarion1311671436
Manuel Chrysoloras131143
Guarino da Verona1311421408
Vittorino da Feltre1311411416
Theodoros Gazes1311371433
Johannes Argyropoulos1311161444
Jan Standonck1311161490
Jan Standonck1311161474
Rudolf Agricola1310861478
Geert Gerardus Magnus Groote131086
Florens Florentius Radwyn Radewyns131086
Thomas von Kempen à Kempis131085
Cristoforo Landino131085
Marsilio Ficino1310851462
Angelo Poliziano1310841477
Alexander Hegius1310841474
Desiderius Erasmus1310831497 /1506
Ulrich Zasius1310831501
Desiderius Erasmus1310831506
Georgius Hermonymus131082
Scipione Fortiguerra1310821493
Moses Perez131082
Girolamo (Hieronymus Aleander) Aleandro1310811499, 1508
Demetrios Chalcocondyles1310511452
Janus Lascaris1310501472
Guillaume Budé1310311486, 1491
Jakob Milich1310271524
Jakob Milich1310271520
Erasmus Reinhold1310261535
Jean Tagault131021
François Dubois1310211516

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
0152548
119919
27571
34453
43080
52286
61665
71387
81148
9929
10737
11606
12547
13447
14406
15332
16302
17262
18211
19187
21163
22152
20149
23123
25109
2494
2681
2880
2765
2955
3143
3341
3440
3239
3038
3529
4128
3622
3822
4222
3920
4319
4017
3716
4514
5213
5313
4912
5512
509
448
468
568
608
487
517
476
636
575
615
594
543
673
783
582
652
682
702
712
732
742
752
762
812
822
952
982
621
641
661
721
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.