Top 50 Advisors

NameStudents
C.-C. Jay Kuo125
Roger Meyer Temam115
Ronold Wyeth Percival King100
Andrew Bernard Whinston97
Leonard Salomon Ornstein95
Willi Jäger92
Yurii Alekseevich Mitropolsky87
Ludwig Prandtl87
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
Albert Nikolayevich Shiryaev66
Hubert Stanley Wall66
Shlomo Noach (Stephen Ram) Sawilowsky65
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 Bryennios118475
Theodore Metochites1184741315
Gregory Palamas118473
Nilos Kabasilas1184721363
Demetrios Kydones118471
Elissaeus Judaeus118448
Georgios Plethon Gemistos1184471380, 1393
Basilios Bessarion1184441436
Manuel Chrysoloras118420
Guarino da Verona1184191408
Vittorino da Feltre1184181416
Theodoros Gazes1184141433
Jan Standonck1183931490
Jan Standonck1183931474
Johannes Argyropoulos1183931444
Geert Gerardus Magnus Groote118364
Rudolf Agricola1183641478
Florens Florentius Radwyn Radewyns118364
Thomas von Kempen à Kempis118363
Alexander Hegius1183621474
Marsilio Ficino1183621462
Cristoforo Landino118362
Desiderius Erasmus1183611497 /1506
Desiderius Erasmus1183611506
Ulrich Zasius1183611501
Angelo Poliziano1183611477
Georgius Hermonymus118359
Scipione Fortiguerra1183591493
Moses Perez118359
Girolamo (Hieronymus Aleander) Aleandro1183581499, 1508
Demetrios Chalcocondyles1183291452
Janus Lascaris1183281472
Guillaume Budé1183091486, 1491
Jakob Milich1183061520
Jakob Milich1183061524
Jean Tagault118306
François Dubois1183061516
Jacobus (Jacques Dubois) Sylvius1183051530
Jacobus (Jacques Dubois) Sylvius118305
Erasmus Reinhold1183051535

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
0139546
118018
26936
34020
42834
52065
61549
71236
8986
9853
10640
11556
12494
13421
14368
15301
16277
17237
18172
19161
21156
20151
22131
23107
24101
2579
2675
2869
2759
2945
3142
3242
3440
3036
3531
3825
3324
4122
4021
3619
4218
3916
3714
4313
4512
4811
5211
5311
449
519
559
569
498
508
598
465
544
674
814
473
583
603
623
653
773
572
612
632
642
662
712
872
681
701
721
731
741
751
761
781
801
821
851
921
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.