Institutions

Where Landau's problems on prime numbers research concentrates, three ways

Table Details

Columns

# the headline rank: the average of the Training and Environment scores shown in the next two columns. Average the two numbers on any row and the rows sort by exactly that average, so the # position is always explainable from what you see.
Training score from 0.00 to 1.00: where today's Top 100 earned their PhDs (verified Mathematics Genealogy records; 51 of 100 researchers covered), rank-weighted and scaled so the strongest training ground is 1.00. A dash means no recorded Top 100 alumni and counts as 0 in the average.
Environment score from 0.00 to 1.00: the research gravity around the institution today; every Top 100 researcher contributes by rank and by distance (exponential decay, 100 km scale), scaled so the strongest environment is 1.00. A dash means no verified coordinates yet and counts as 0.
Top 100 how many of the current Top 100 work there. Hover a row for names.
Institution names link to the institution's homepage (or its mathematics department where we have verified that page); links come from the institution's OpenAlex record.

Click any header to sort; the score columns sort strongest-first. Candidates are the union of the Top 100's current institutions and their PhD schools, so pure training grounds appear even when nobody on the list works there today.

#	Institution (hover rows for details)		Top 100	Training	Environment
1	Royal Holloway University of London	GB	1	1.00	0.83
2	University of Oxford	GB	4	0.82	1.00
3	University of Cambridge	GB	2	0.85	0.75
4	University of Illinois Urbana-Champaign	US	5	0.42	0.95
5	University of Genoa	IT	1	0.92	0.33
6	University of California, Berkeley	US	0	0.85	0.34
7	Imperial College London	GB	0	0.41	0.71
8	University of London	GB	0	0.35	0.71
9	Birkbeck, University of London	GB	0	0.27	0.71
10	Queen's University	CA	2	0.51	0.46
11	University of Michigan	US	2	0.35	0.50
12	University of Bristol	GB	1	0.43	0.41
13	University of Göttingen	DE	1	0.46	0.28
14	Université de Bordeaux	FR	2	0.55	0.16
15	Sorbonne Université	FR	0	0.14	0.55
16	University of California, Los Angeles	US	1	0.30	0.36
17	Alfréd Rényi Institute of Mathematics	HU	2	-	0.63
18	Eötvös Loránd University	HU	2	-	0.63
19	Centre National de la Recherche Scientifique	FR	1	-	0.56
20	China University of Mining and Technology (Beijing)	CN	2	-	0.55
21	Beijing Information Science and Technology University	CN	1	-	0.55
22	Université Paris-Saclay	FR	1	-	0.55
23	Université Paris Cité	FR	2	-	0.54
24	Chinese Academy of Sciences	CN	1	-	0.54
25	Stanford University	US	2	-	0.54
26	San Jose State University	US	1	-	0.53
27	Purdue University West Lafayette	US	1	-	0.53
28	University of Alaska, Fairbanks	US	0	0.51	0.00
29	Universität Berlin	DE	0	0.47	0.02
30	Philipps-Universität Marburg	DE	0	0.36	0.12
31	University of Turku	FI	2	-	0.47
32	ETH Zurich	CH	2	-	0.47
33	Institute of Technology	US	0	0.40	0.06
34	Shandong University	CN	2	0.17	0.26
35	Australian National University	AU	1	0.29	0.12
36	University of Freiburg	DE	1	-	0.40
37	University of Parma	IT	1	-	0.40
38	École Polytechnique Fédérale de Lausanne (EPFL)		0	0.40	-
39	Université de Montréal	CA	1	0.09	0.29
40	University of Toronto	CA	1	-	0.37
41	University of South Carolina	US	0	0.33	0.03
42	Universität Konstanz	DE	0	0.03	0.33
43	University of Padua	IT	1	-	0.35
44	Rutgers University	US	2	-	0.32
45	University of Bucharest	RO	0	0.30	0.01
46	Université Henri Poincaré Nancy 1	FR	0	0.12	0.18
47	Dartmouth College	US	1	-	0.30
48	University of Wales	GB	1	-	0.30
49	University, New Brunswick	CA	0	0.29	0.00
50	Stellenbosch University	ZA	1	-	0.29
51	Pomona College	US	1	-	0.28
52	University of Helsinki	FI	1	-	0.28
53	University of Waterloo	CA	2	-	0.28
54	Universität Ulm	DE	1	-	0.27
55	Ramakrishna Mission Vivekananda Educational and Research Institute	IN	1	-	0.27
56	Pennsylvania State University	US	1	-	0.27
57	Towson University	US	1	-	0.26
58	Utrecht University	NL	0	0.20	0.05
59	University of Georgia	US	1	-	0.25
60	University of Minnesota - Twin Cities	US	0	0.24	0.00
61	UNSW Sydney	AU	1	-	0.25
62	University of Missouri	US	1	-	0.23
63	University of Kentucky	US	1	-	0.22
64	Nanjing University of Finance and Economics	CN	1	-	0.22
65	Nihon University	JP	1	-	0.22
66	Nanjing Normal University	CN	1	-	0.22
67	Steklov Mathematical Institute	RU	1	-	0.20
68	Lomonosov Moscow State University	RU	1	-	0.20
69	Central Michigan University	US	1	-	0.19
70	Technion - Israel Institute of Technology	IL	1	-	0.19
71	University of Glasgow	GB	1	-	0.19
72	Institut Élie Cartan de Lorraine	FR	1	-	0.19
73	Sofia University "St. Kliment Ohridski"	BG	1	-	0.18
74	University of Salerno	IT	2	-	0.18
75	Technical University of Sofia	BG	1	-	0.18
76	Henan Academy of Sciences	CN	1	-	0.17
77	University of Tsukuba		0	0.04	0.13
78	Politecnico di Torino	IT	1	-	0.16
79	Brigham Young University	US	1	-	0.15
80	Universität Freiburg im Breisgau		0	0.15	-
81	Shanghai Jiao Tong University	CN	1	-	0.14
82	University of Colorado Boulder	US	1	-	0.13
83	Hellenic Military Academy	GR	1	-	0.12
84	University of Mississippi	US	1	-	0.11
85	University of British Columbia	CA	1	-	0.11
86	Tel Aviv University	IL	1	0.01	0.10
87	Boğaziçi University	TR	1	-	0.08
88	Heinrich Heine University Düsseldorf	DE	1	-	0.08
89	University of Missouri - Columbia		0	0.07	-
90	Victoria University of Wellington	NZ	1	-	0.07
91	University of Calgary	CA	1	-	0.06
92	Xi'an Jiaotong University	CN	1	-	0.04
93	Aix-Marseille Université	FR	1	-	0.04
94	Iwate University	JP	1	-	0.03
95	Uniwersytet im. Adama Mickiewicza w Poznaniu		0	0.02	-
96	Adam Mickiewicz University in Poznań	PL	1	-	0.02
97	University of Queensland	AU	1	-	-