Top 50 Advisors

NameStudents
C.-C. Jay Kuo125
Roger Meyer Temam112
Ronold Wyeth Percival King100
Andrew Bernard Whinston97
Leonard Salomon Ornstein95
Willi Jäger92
Ludwig Prandtl87
Yurii Alekseevich Mitropolsky87
Alexander Vasil'evich Mikhalëv85
David Garvin Moursund82
Pekka Neittaanmäki81
Selim Grigorievich Krein81
Arnold Zellner81
Andrei Nikolayevich Kolmogorov81
Richard J. Eden80
Charles Ehresmann78
Bruce Ramon Vogeli77
Bart De Moor77
Egon Krause76
David Hilbert75
Wilhelm Magnus74
Neil Andrew Davidson73
Beno Eckmann72
Jean-Claude Nédélec71
Edward Joseph McCluskey, Jr.71
Robert Wayne Newcomb70
Anatoliy Mikhailovich Samoilenko68
Shing-Tung Yau67
Wayne Arthur Fuller67
Johan F. A. K. van Benthem67
Terence Paul Speed67
Hubert Stanley Wall66
Shlomo Noach (Stephen Ram) Sawilowsky65
David Harold Blackwell65
Heinz-Gerd Hegering65
C. Felix (Christian) Klein64
Albert Nikolayevich Shiryaev64
George Bachman63
Eduard L. Stiefel63
David Roxbee Cox62
David Beauregard Bogy62
Gunter Schwarze62
Alexandre Aleksandrovich Kirillov61
Donald Richard Marcotte61
Paul Heinz Müller60
Roger Ware Brockett60
Ivo Wouter Molenaar60
Anatoli V. Skorokhod59
Peter Charles Bonest Phillips59
Takeo Kanade59

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Gregory Palamas115402
Nilos Kabasilas1154011363
Demetrios Kydones115400
Elissaeus Judaeus115377
Georgios Plethon Gemistos1153761380, 1393
Basilios Bessarion1153731436
Manuel Chrysoloras115349
Guarino da Verona1153481408
Vittorino da Feltre1153471416
Theodoros Gazes1153431433
Jan Standonck1153221490
Jan Standonck1153221474
Johannes Argyropoulos1153221444
Geert Gerardus Magnus Groote115293
Florens Florentius Radwyn Radewyns115293
Rudolf Agricola1152931478
Thomas von Kempen à Kempis115292
Alexander Hegius1152911474
Marsilio Ficino1152911462
Cristoforo Landino115291
Angelo Poliziano1152901477
Desiderius Erasmus1152901497 /1506
Ulrich Zasius1152901501
Desiderius Erasmus1152901506
Moses Perez115288
Scipione Fortiguerra1152881493
Georgius Hermonymus115288
Girolamo (Hieronymus Aleander) Aleandro1152871499, 1508
Demetrios Chalcocondyles1152581452
Janus Lascaris1152571472
Guillaume Budé1152381486, 1491
Jean Tagault115235
François Dubois1152351516
Jakob Milich1152351524
Jakob Milich1152351520
Jacobus (Jacques Dubois) Sylvius1152341530
Jacobus (Jacques Dubois) Sylvius115234
Erasmus Reinhold1152341535
Rutger Rescius1152331513
Johannes Winter von Andernach1152321527

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
0138167
117884
26878
33967
42782
52036
61542
71207
8979
9845
10626
11560
12485
13414
14375
15291
16270
17234
18171
19167
21153
20141
22137
23105
2499
2679
2574
2863
2762
2948
3243
3139
3438
3036
3533
3323
3823
4022
4121
3619
4218
3916
3714
4314
5214
4512
5511
519
539
488
508
598
447
497
466
476
566
544
584
674
814
603
623
653
572
612
632
642
712
772
872
661
681
701
721
731
741
751
761
781
801
821
851
921
951
971
1001
1121
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.