Institutions

Where the twin prime conjecture 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; 45 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	0.87	0.81
2	University of Oxford	GB	4	0.54	1.00
3	University of Illinois Urbana-Champaign	US	5	0.49	0.91
4	University of Genoa	IT	1	1.00	0.36
5	University of California, Berkeley	US	0	0.73	0.35
6	University of Cambridge	GB	2	0.33	0.74
7	Queen's University	CA	2	0.51	0.51
8	Birkbeck, University of London	GB	0	0.25	0.69
9	University of Michigan	US	2	0.41	0.52
10	University of California, Los Angeles	US	1	0.42	0.41
11	Université Paris-Saclay	FR	1	0.34	0.49
12	University of Bristol	GB	2	0.21	0.52
13	Université de Bordeaux	FR	0	0.72	0.01
14	Institute of Technology	US	0	0.37	0.32
15	ETH Zurich	CH	2	-	0.57
16	University of Turku	FI	2	-	0.56
17	Stanford University	US	2	-	0.55
18	San Jose State University	US	1	-	0.55
19	Université de Montréal	CA	1	0.21	0.32
20	Peking University	CN	0	0.31	0.19
21	University of Göttingen	DE	1	0.29	0.21
22	Université Paris-Est Créteil Val-de-Marne	FR	1	-	0.49
23	Université Paris Cité	FR	1	-	0.48
24	University of Alaska, Fairbanks	US	0	0.46	0.00
25	Philipps-Universität Marburg	DE	0	0.35	0.10
26	University of Freiburg	DE	1	-	0.46
27	Rutgers University	US	2	-	0.45
28	Alfréd Rényi Institute of Mathematics	HU	3	-	0.45
29	Universität Berlin	DE	0	0.41	0.02
30	University of Parma	IT	1	-	0.42
31	Princeton University	US	1	-	0.41
32	University of Padua	IT	1	-	0.41
33	Cardiff University	GB	1	-	0.41
34	University of Toronto	CA	1	-	0.39
35	American Institute of Mathematics	US	1	-	0.38
36	Pomona College	US	1	-	0.35
37	University of Helsinki	FI	2	-	0.34
38	Dartmouth College	US	1	-	0.32
39	Tufts University	US	1	-	0.32
40	Massachusetts Institute of Technology	US	1	-	0.32
41	Technion - Israel Institute of Technology	IL	1	-	0.32
42	Concordia University	CA	1	-	0.31
43	Université de Paris		0	0.30	-
44	Universität Freiburg im Breisgau		0	0.30	-
45	University of Rochester	US	0	0.10	0.19
46	University of Waterloo	CA	1	-	0.29
47	Stellenbosch University	ZA	1	-	0.29
48	Politecnico di Torino	IT	1	-	0.29
49	University of Missouri	US	1	-	0.29
50	Universität Ulm	DE	1	-	0.28
51	University of Georgia	US	1	-	0.28
52	University of Salerno	IT	1	-	0.28
53	Tel Aviv University	IL	1	-	0.27
54	University of Illinois Chicago	US	1	-	0.27
55	Utrecht University	NL	1	0.17	0.10
56	University, New Brunswick	CA	0	0.26	0.00
57	University of Lyon	FR	1	-	0.26
58	Ramakrishna Mission Vivekananda Educational and Research Institute	IN	1	-	0.26
59	Brown University	US	1	-	0.26
60	University of New South Wales	AU	0	0.23	0.02
61	Aix-Marseille Université	FR	1	-	0.25
62	University of Washington		0	0.24	-
63	Nihon University	JP	1	-	0.23
64	University of Naples Federico II	IT	1	-	0.22
65	Abdus Salam International Centre for Theoretical Physics	IT	1	-	0.21
66	Université Henri Poincaré Nancy 1	FR	0	0.06	0.15
67	Boğaziçi University	TR	1	-	0.20
68	Chinese Academy of Sciences	CN	1	-	0.20
69	University of Minnesota - Twin Cities	US	0	0.20	0.00
70	University of South Carolina	US	0	0.16	0.03
71	UNSW Canberra	AU	2	-	0.19
72	Central Michigan University	US	1	-	0.19
73	Hellenic Military Academy	GR	1	-	0.18
74	Lomonosov Moscow State University	RU	0	0.18	0.00
75	Towson University	US	1	-	0.17
76	University of Kentucky	US	1	-	0.17
77	Nanjing University of Finance and Economics	CN	1	-	0.17
78	Brigham Young University	US	1	-	0.16
79	Shanghai Jiao Tong University	CN	1	-	0.15
80	Paderborn University	DE	1	-	0.13
81	Shanghai University	CN	1	-	0.12
82	Sofia University "St. Kliment Ohridski"	BG	1	-	0.12
83	University of Tennessee at Chattanooga	US	1	-	0.11
84	University of Virginia	US	1	-	0.10
85	Shandong University	CN	1	-	0.09
86	University of Waikato	NZ	1	-	0.09
87	University of Mississippi	US	1	-	0.07
88	University of Mumbai	IN	0	0.02	0.02
89	University of Bucharest	RO	0	0.02	0.01
90	University of Lethbridge	CA	1	-	0.03
91	Tata Institute of Fundamental Research	IN	1	-	0.02
92	Texas A&M University	US	1	-	0.00
93	Case Western Reserve University	US	1	-	-
94	Kings College London	GB	1	-	-
95	Universidade Tecnologica Federal do Parana	BR	1	-	-
96	University of Queensland	AU	1	-	-
97	Wofford College	US	1	-	-