Institutions

Where the Riemann hypothesis 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; 76 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	Princeton University	US	2	0.64	1.00
2	Rutgers University	US	2	0.54	0.92
3	University of Bristol	GB	2	1.00	0.44
4	University of Michigan	US	2	0.79	0.52
5	Stanford University	US	1	0.71	0.46
6	Institute for Advanced Study	US	2	-	1.00
7	Vilnius University	LT	2	0.46	0.48
8	Columbia University	US	0	0.23	0.57
9	University of Illinois Urbana-Champaign	US	3	0.19	0.60
10	University of Oxford	GB	2	0.27	0.50
11	California Institute of Technology	US	0	0.10	0.66
12	American Institute of Mathematics	US	2	-	0.67
13	University of Rochester	US	1	0.26	0.41
14	University of California, Los Angeles	US	0	0.09	0.53
15	University of New South Wales	AU	2	0.13	0.43
16	University of California, Berkeley	US	0	0.25	0.29
17	University of Mississippi	US	2	0.19	0.33
18	Tokyo University of Science	JP	1	-	0.51
19	Rikkyo University	JP	1	-	0.51
20	RAND Corporation	US	1	-	0.50
21	University of York	GB	1	0.14	0.35
22	University of Cambridge	GB	0	0.25	0.22
23	University of California, Irvine	US	1	-	0.47
24	University of California, Riverside	US	1	-	0.46
25	University of Minnesota - Twin Cities	US	0	0.13	0.33
26	San Jose State University	US	1	-	0.46
27	University of London	GB	0	0.21	0.25
28	Graz University of Technology	AT	2	0.13	0.32
29	Massachusetts Institute of Technology	US	0	0.35	0.09
30	University of Manchester	GB	1	-	0.43
31	Nagoya University	JP	1	0.28	0.15
32	Yale University	US	0	0.17	0.26
33	Adam Mickiewicz University in Poznań	PL	1	0.21	0.22
34	Queen's University	CA	2	0.09	0.33
35	University of Genoa	IT	1	0.17	0.22
36	University of British Columbia	CA	1	0.22	0.17
37	Kyushu University	JP	1	-	0.38
38	Leiden University	NL	1	0.15	0.21
39	Williams College	US	1	-	0.37
40	University of Milan	IT	0	0.21	0.15
41	Oklahoma State University	US	1	0.24	0.12
42	Cornell University	US	1	-	0.36
43	University of Minnesota	US	1	-	0.34
44	Northwestern University	US	1	-	0.33
45	Goethe University Frankfurt	DE	0	0.20	0.12
46	Université Paris-Est Créteil Val-de-Marne	FR	0	0.04	0.29
47	University of Lorraine	FR	1	-	0.33
48	Carleton College	US	1	-	0.33
49	Purdue University West Lafayette	US	0	0.09	0.23
50	Institut Élie Cartan de Lorraine	FR	1	-	0.32
51	Ruhr West University of Applied Sciences	DE	1	-	0.32
52	Pennsylvania State University	US	1	-	0.32
53	Collège de France	FR	2	-	0.31
54	UNSW Canberra	AU	1	-	0.31
55	Université de Montréal	CA	1	0.18	0.12
56	Max Planck Institute for Mathematics	DE	2	-	0.30
57	Centre National de la Recherche Scientifique	FR	2	-	0.30
58	ETH Zurich	CH	1	0.06	0.24
59	University of Bucharest	RO	0	0.28	0.00
60	Universität Zürich	CH	0	0.04	0.24
61	University of Bordeaux	FR	1	0.23	0.04
62	Universidad de Sevilla	ES	1	0.13	0.13
63	University of Lethbridge	CA	2	-	0.27
64	Faculty of Sciences of Tunis	TN	0	0.20	0.06
65	University of Missouri	US	1	-	0.26
66	University of Waterloo	CA	1	-	0.25
67	University of Warsaw	PL	0	0.22	0.02
68	University of Padua	IT	1	-	0.24
69	University of Würzburg	DE	1	0.15	0.09
70	Pontificia Universidad Católica del Perú	PE	1	-	0.23
71	The Abdus Salam International Centre for Theoretical Physics (ICTP)	IT	1	-	0.20
72	University of Sousse	TN	1	-	0.20
73	Kansas State University	US	1	-	0.20
74	CERFIM	CH	2	-	0.19
75	The Ohio State University	US	1	-	0.18
76	Šiauliai University	LT	1	-	0.18
77	Tel Aviv University	IL	1	-	0.17
78	University of Melbourne	AU	1	-	0.17
79	Université de Lille	FR	0	0.05	0.11
80	Emory University	US	0	0.16	0.00
81	Comenius University Bratislava	SK	1	-	0.15
82	École Polytechnique Fédérale de Lausanne	CH	1	-	0.15
83	University of Bahrain	BH	1	-	0.15
84	Université Pantheon-Sorbonne : Paris I		0	0.15	-
85	Harvard University	US	0	0.03	0.09
86	Dartmouth College	US	1	-	0.13
87	Brown University	US	1	-	0.12
88	University of Lyon	FR	1	-	0.12
89	University of Texas at Austin	US	0	0.11	0.00
90	Johannes Kepler University of Linz	AT	1	-	0.10
91	Yonsei University	KR	1	-	0.10
92	Universität Salzburg	AT	0	0.01	0.08
93	Brigham Young University	US	1	-	0.09
94	Université de Paris		0	0.07	-
95	Leibniz University Hannover	DE	0	0.03	0.05
96	Boğaziçi University	TR	1	-	0.07
97	Indian Institute of Technology Gandhinagar	IN	1	-	0.07
98	University of Sarajevo	BA	1	-	0.07
99	Hellenic Military Academy	GR	1	-	0.06
100	Indian Institute of Technology Indore	IN	1	-	0.05
101	Harish-Chandra Research Institute	IN	0	0.04	0.00
102	Norwegian University of Science and Technology	NO	1	0.02	0.02
103	Tianjin University	CN	1	-	0.04
104	University of St. Andrews		0	0.03	-
105	École Normale Supérieure Paris		0	0.02	-
106	Rheinische Friedrich-Wilhelms-Universität Bonn		0	0.01	-
107	ESSI Sophia Antipolis	FR	1	-	-
108	Lehman College, CUNY	US	1	-	-
109	Pohang University of Science and Technology	KR	1	-	-