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; 43 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	0.89	0.78
2	University of Oxford	GB	4	0.57	1.00
3	University of Illinois Urbana-Champaign	US	5	0.58	0.82
4	University of Genoa	IT	1	1.00	0.30
5	University of Cambridge	GB	2	0.45	0.70
6	University of California, Berkeley	US	0	0.75	0.31
7	Queen's University	CA	2	0.56	0.44
8	Birkbeck, University of London	GB	0	0.26	0.66
9	University of Bristol	GB	2	0.37	0.50
10	University of California, Los Angeles	US	1	0.43	0.35
11	Université de Bordeaux	FR	0	0.68	0.01
12	Institute of Technology	US	0	0.37	0.30
13	University of Michigan	US	2	0.14	0.45
14	University of Turku	FI	2	-	0.49
15	Stanford University	US	3	-	0.49
16	Peking University	CN	0	0.32	0.16
17	San Jose State University	US	1	-	0.48
18	University of Alaska, Fairbanks	US	0	0.47	0.00
19	University of Göttingen	DE	1	0.29	0.18
20	Université de Montréal	CA	2	0.17	0.29
21	Philipps-Universität Marburg	DE	0	0.35	0.09
22	ETH Zurich	CH	2	-	0.44
23	Universität Berlin	DE	0	0.42	0.01
24	Université Paris-Saclay	FR	1	-	0.42
25	Centre National de la Recherche Scientifique	FR	1	-	0.42
26	Cardiff University	GB	1	-	0.39
27	University of Salerno	IT	2	-	0.38
28	University of Parma	IT	1	-	0.37
29	University of Freiburg	DE	1	-	0.37
30	University of Padua	IT	1	-	0.36
31	Alfréd Rényi Institute of Mathematics	HU	3	-	0.35
32	Rutgers University	US	2	-	0.34
33	Princeton University	US	1	-	0.33
34	University of Helsinki	FI	2	-	0.32
35	American Institute of Mathematics	US	1	-	0.32
36	Université de Paris		0	0.32	-
37	Universität Freiburg im Breisgau		0	0.31	-
38	Tufts University	US	1	-	0.30
39	Massachusetts Institute of Technology	US	1	-	0.30
40	Dartmouth College	US	1	-	0.30
41	University of Toronto	CA	1	-	0.30
42	Pomona College	US	1	-	0.29
43	Technion - Israel Institute of Technology	IL	1	-	0.29
44	Concordia University	CA	1	-	0.28
45	University of Naples Federico II	IT	1	-	0.27
46	Utrecht University	NL	1	0.18	0.09
47	University of New South Wales	AU	0	0.25	0.01
48	University of Illinois Chicago	US	1	-	0.25
49	Stellenbosch University	ZA	1	-	0.25
50	Universität Ulm	DE	1	-	0.25
51	University of Georgia	US	1	-	0.25
52	University of Minnesota - Twin Cities	US	0	0.25	0.00
53	Tel Aviv University	IL	1	-	0.25
54	Brown University	US	1	-	0.24
55	University of South Carolina	US	0	0.20	0.03
56	Ramakrishna Mission Vivekananda Educational and Research Institute	IN	1	-	0.22
57	University of Rochester	US	0	0.06	0.16
58	University of Lyon	FR	1	-	0.22
59	University of Manchester	GB	1	-	0.22
60	University of Waterloo	CA	1	-	0.21
61	University of Missouri	US	1	-	0.21
62	Politecnico di Torino	IT	1	-	0.21
63	Abdus Salam International Centre for Theoretical Physics	IT	1	-	0.20
64	Lomonosov Moscow State University	RU	0	0.20	0.00
65	Nihon University	JP	1	-	0.20
66	Boğaziçi University	TR	1	-	0.18
67	Chinese Academy of Sciences	CN	1	-	0.17
68	Central Michigan University	US	1	-	0.17
69	Nanjing University of Finance and Economics	CN	1	-	0.17
70	Aix-Marseille Université	FR	1	-	0.17
71	University of Kentucky	US	1	-	0.17
72	University of Washington		0	0.16	-
73	Towson University	US	1	-	0.16
74	UNSW Canberra	AU	1	-	0.16
75	Hellenic Military Academy	GR	1	-	0.16
76	Australian National University	AU	1	-	0.16
77	University, New Brunswick	CA	0	0.15	0.00
78	Shanghai Jiao Tong University	CN	1	-	0.14
79	Brigham Young University	US	1	-	0.14
80	Shanghai University	CN	1	-	0.12
81	University of Waikato	NZ	1	-	0.12
82	Sofia University "St. Kliment Ohridski"	BG	1	-	0.11
83	Paderborn University	DE	1	-	0.11
84	University of Tennessee at Chattanooga	US	1	-	0.11
85	University of Bucharest	RO	0	0.09	0.01
86	University of Virginia	US	1	-	0.10
87	Shandong University	CN	1	-	0.08
88	University of Mississippi	US	1	-	0.04
89	University of Mumbai	IN	0	0.02	0.01
90	University of Lethbridge	CA	1	-	0.02
91	Tata Institute of Fundamental Research	IN	1	-	0.01
92	Kings College London	GB	1	-	-
93	Universidade Tecnologica Federal do Parana	BR	1	-	-
94	University of Queensland	AU	1	-	-
95	Wofford College	US	1	-	-