Top 50 Advisors

NameStudents
C.-C. Jay Kuo126
Roger Meyer Temam117
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
Andrei Nikolayevich Kolmogorov81
Selim Grigorievich Krein81
Richard J. Eden80
Kurt Mehlhorn80
Bart De Moor80
Arnold Zellner80
Bruce Ramon Vogeli78
Charles Ehresmann78
Egon Krause76
David Hilbert75
Wilhelm Magnus74
Thomas Kailath74
Neil Andrew Davidson73
Beno Eckmann72
Edward Joseph McCluskey, Jr.71
Jean-Claude Nédélec71
Robert Wayne Newcomb70
Shlomo Noach (Stephen Ram) Sawilowsky69
Anatoliy Mikhailovich Samoilenko68
Shing-Tung Yau67
Terence Paul Speed67
Johan F. A. K. van Benthem67
Wayne Arthur Fuller67
Albert Nikolayevich Shiryaev67
Hubert Stanley Wall66
David Harold Blackwell65
Heinz-Gerd Hegering65
Erol Gelenbe65
C. Felix (Christian) Klein63
Eduard L. Stiefel63
George Bachman63
David Roxbee Cox62
David Beauregard Bogy62
Gunter Schwarze62
Rainer Nagel62
Roger Ware Brockett61
Alexandre Aleksandrovich Kirillov61
Donald Richard Marcotte61
Paul Heinz Müller60

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios123952
Theodore Metochites1239511315
Gregory Palamas123949
Nilos Kabasilas1239481363
Demetrios Kydones123947
Elissaeus Judaeus123924
Georgios Plethon Gemistos1239231380, 1393
Basilios Bessarion1239201436
Manuel Chrysoloras123896
Guarino da Verona1238951408
Vittorino da Feltre1238941416
Theodoros Gazes1238901433
Jan Standonck1238691474
Johannes Argyropoulos1238691444
Jan Standonck1238691490
Rudolf Agricola1238391478
Geert Gerardus Magnus Groote123839
Florens Florentius Radwyn Radewyns123839
Marsilio Ficino1238381462
Thomas von Kempen à Kempis123838
Cristoforo Landino123838
Alexander Hegius1238371474
Angelo Poliziano1238371477
Desiderius Erasmus1238361497 /1506
Ulrich Zasius1238361501
Desiderius Erasmus1238361506
Moses Perez123835
Georgius Hermonymus123835
Scipione Fortiguerra1238351493
Girolamo (Hieronymus Aleander) Aleandro1238341499, 1508
Demetrios Chalcocondyles1238041452
Janus Lascaris1238031472
Guillaume Budé1237841486, 1491
Jakob Milich1237801524
Jakob Milich1237801520
Erasmus Reinhold1237791535
François Dubois1237741516
Jean Tagault123774
Jacobus (Jacques Dubois) Sylvius123773
Jacques Toussain1237731521

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
0145223
118844
27215
34216
42935
52152
61573
71325
81065
9882
10688
11575
12514
13425
14390
15324
16289
17244
18193
19169
20158
21145
22145
23113
24102
2590
2678
2876
2761
2952
3141
3038
3437
3236
3335
3530
4125
3824
4223
3620
3920
4020
3713
4313
4513
5213
5312
4910
449
489
519
569
468
557
506
475
575
595
605
675
544
624
804
613
633
653
582
712
742
782
812
872
661
681
691
701
721
731
751
761
821
851
881
931
951
971
1001
1171
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.