Top 50 Advisors

NameStudents
C.-C. Jay Kuo125
Roger Meyer Temam114
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
Egon Krause76
David Hilbert75
Wilhelm Magnus74
Neil Andrew Davidson73
Kurt Mehlhorn73
Beno Eckmann72
Edward Joseph McCluskey, Jr.71
Jean-Claude Nédélec71
Robert Wayne Newcomb70
Anatoliy Mikhailovich Samoilenko68
Johan F. A. K. van Benthem67
Wayne Arthur Fuller67
Shing-Tung Yau67
Terence Paul Speed67
Albert Nikolayevich Shiryaev66
Hubert Stanley Wall66
Shlomo Noach (Stephen Ram) Sawilowsky65
David Harold Blackwell65
Heinz-Gerd Hegering65
C. Felix (Christian) Klein64
Eduard L. Stiefel63
George Bachman63
Gunter Schwarze62
David Roxbee Cox62
David Beauregard Bogy62
Alexandre Aleksandrovich Kirillov61
Donald Richard Marcotte61
Paul Heinz Müller60
Erol Gelenbe60
Roger Ware Brockett60
Ivo Wouter Molenaar60
Reinhold Baer59

Expand to top 75 advisors

Most Descendants

NameDescendantsYear of Degree
Manuel Bryennios117988
Theodore Metochites1179871315
Gregory Palamas117986
Nilos Kabasilas1179851363
Demetrios Kydones117984
Elissaeus Judaeus117961
Georgios Plethon Gemistos1179601380, 1393
Basilios Bessarion1179571436
Manuel Chrysoloras117933
Guarino da Verona1179321408
Vittorino da Feltre1179311416
Theodoros Gazes1179271433
Jan Standonck1179061490
Jan Standonck1179061474
Johannes Argyropoulos1179061444
Florens Florentius Radwyn Radewyns117877
Rudolf Agricola1178771478
Geert Gerardus Magnus Groote117877
Thomas von Kempen à Kempis117876
Alexander Hegius1178751474
Marsilio Ficino1178751462
Cristoforo Landino117875
Desiderius Erasmus1178741506
Desiderius Erasmus1178741497 /1506
Ulrich Zasius1178741501
Angelo Poliziano1178741477
Scipione Fortiguerra1178721493
Georgius Hermonymus117872
Moses Perez117872
Girolamo (Hieronymus Aleander) Aleandro1178711499, 1508
Demetrios Chalcocondyles1178421452
Janus Lascaris1178411472
Guillaume Budé1178221486, 1491
Jakob Milich1178191520
Jakob Milich1178191524
Jean Tagault117819
François Dubois1178191516
Jacobus (Jacques Dubois) Sylvius117818
Jacobus (Jacques Dubois) Sylvius1178181530
Erasmus Reinhold1178181535

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
0138941
117952
26906
33987
42813
52054
61543
71222
8983
9849
10635
11556
12492
13417
14371
15300
16275
17233
18172
19165
21153
20144
22132
23107
24105
2677
2576
2865
2760
2945
3242
3141
3439
3036
3531
3324
3824
4122
3621
4021
4217
3916
3714
4314
4512
5211
5311
5510
519
448
488
498
508
568
598
476
465
544
604
674
814
583
623
653
572
612
632
662
712
732
772
872
641
681
701
721
741
751
761
781
801
821
851
921
951
971
1001
1141
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.