Institutions

Where the Goldbach 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; 77 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	Shandong University	CN	4	1.00	0.96
2	University of Oxford	GB	3	0.25	1.00
3	Royal Holloway University of London	GB	2	0.30	0.83
4	Chinese Academy of Sciences	CN	1	0.15	0.96
5	University of Cambridge	GB	2	0.28	0.82
6	Peking University	CN	0	0.09	0.94
7	Princeton University	US	1	0.41	0.61
8	China University of Mining and Technology (Beijing)	CN	3	-	0.99
9	Beijing Information Science and Technology University	CN	1	-	0.99
10	Shandong University of Finance and Economics	CN	1	-	0.94
11	Shandong Normal University	CN	1	-	0.94
12	Eötvös Loránd University	HU	2	0.23	0.71
13	Imperial College London	GB	0	0.18	0.72
14	University of London	GB	0	0.17	0.72
15	Birkbeck, University of London	GB	0	0.15	0.72
16	Hungarian Academy of Sciences	HU	0	0.08	0.70
17	Alfréd Rényi Institute of Mathematics	HU	3	-	0.71
18	Stanford University	US	1	0.21	0.43
19	Rutgers University	US	1	0.07	0.57
20	Institute for Advanced Study	US	1	-	0.60
21	University of Illinois Urbana-Champaign	US	3	0.09	0.49
22	University of Genoa	IT	1	0.28	0.27
23	Tianjin University	CN	1	-	0.55
24	University of Turku	FI	1	0.24	0.29
25	Pennsylvania State University	US	1	0.14	0.38
26	University of Göttingen	DE	1	0.17	0.34
27	University of Paris-Saclay	FR	1	0.11	0.37
28	Sorbonne University	FR	0	0.10	0.39
29	San Jose State University	US	1	-	0.44
30	Tongji University	CN	1	-	0.44
31	Shanghai Jiao Tong University	CN	1	-	0.44
32	University of California, Berkeley	US	0	0.16	0.27
33	Purdue University West Lafayette	US	1	-	0.43
34	Max Planck Institute for Mathematics	DE	1	-	0.42
35	University of Bonn	DE	1	-	0.42
36	Towson University	US	1	-	0.40
37	West Chester University of Pennsylvania	US	1	-	0.40
38	Université Paris-Est Créteil Val-de-Marne	FR	1	-	0.40
39	Cardiff University	GB	1	-	0.40
40	Université Paris Cité	FR	1	-	0.39
41	University of New South Wales	AU	1	0.12	0.27
42	University of Parma	IT	1	-	0.35
43	Heinrich Heine University Düsseldorf	DE	1	-	0.35
44	University of Padua	IT	1	-	0.33
45	University of Toronto	CA	1	0.11	0.21
46	Queen's University	CA	1	0.13	0.19
47	Henan Academy of Sciences	CN	1	-	0.30
48	University of Michigan	US	1	0.04	0.26
49	Lomonosov Moscow State University	RU	1	0.19	0.09
50	University of California, Los Angeles	US	1	-	0.28
51	University of Milan	IT	0	0.11	0.17
52	University of Bordeaux	FR	1	0.11	0.17
53	North China University of Water Resources and Electric Power	CN	1	-	0.27
54	Brigham Young University	US	1	-	0.25
55	Sofia University	BG	1	-	0.25
56	Durham University	GB	1	-	0.25
57	Moscow State Pedagogical University	RU	0	0.16	0.09
58	Technical University of Sofia	BG	1	-	0.24
59	Université de Montréal	CA	1	-	0.24
60	University of Kentucky	US	1	-	0.24
61	Utrecht University	NL	0	0.12	0.11
62	KTH Royal Institute of Technology	SE	1	-	0.23
63	Ramakrishna Mission Vivekananda Educational and Research Institute	IN	1	-	0.23
64	Iwate University	JP	1	-	0.22
65	Nanjing University	CN	0	0.04	0.17
66	University of Helsinki	FI	1	-	0.21
67	University of Freiburg	DE	0	0.10	0.09
68	University of Science and Technology of China	CN	1	-	0.19
69	University of Mississippi	US	2	-	0.18
70	Technische Universität Darmstadt	DE	0	0.05	0.14
71	Nanchang University	CN	1	-	0.18
72	Dartmouth College	US	1	0.01	0.17
73	University of Waterloo	CA	1	0.07	0.11
74	Freie Universität Berlin	DE	0	0.14	0.04
75	Universität Konstanz	DE	0	0.07	0.10
76	Nanjing University of Finance and Economics	CN	1	-	0.17
77	Nanjing Normal University	CN	1	-	0.17
78	University of South Carolina	US	0	0.16	0.00
79	ETH Zurich	CH	1	0.01	0.15
80	University of Missouri	US	1	-	0.15
81	University of Warsaw	PL	0	0.14	0.00
82	University of Tsukuba		0	0.13	0.00
83	Graz University of Technology	AT	1	-	0.13
84	Massachusetts Institute of Technology	US	0	0.09	0.04
85	Harvard University	US	0	0.08	0.05
86	University of Rochester	US	0	0.01	0.11
87	University of Rostock	DE	1	-	0.12
88	Australian National University	AU	0	0.06	0.05
89	University of Hong Kong	HK	1	-	0.11
90	University of Bucharest	RO	0	0.09	0.01
91	Tata Institute of Fundamental Research	IN	1	-	0.08
92	Universität Stuttgart	DE	0	0.00	0.07
93	Aix-Marseille University	FR	1	-	0.07
94	Emory University	US	0	0.05	0.01
95	UNSW Canberra	AU	1	-	0.06
96	University of Aveiro	PT	1	-	0.04
97	Queensland University of Technology	AU	1	-	0.04
98	Xian Polytechnic University	CN	1	-	0.04
99	University of Colorado Boulder	US	1	-	0.03
100	Termez State University	UZ	1	-	0.03
101	University of Georgia	US	1	-	0.02
102	Hellenic Military Academy	GR	1	-	0.01
103	California State University Los Angeles	US	1	-	-
104	Dolby Laboratories	US	1	-	-
105	INFN Napoli	IT	1	-	-
106	Lehman College, CUNY	US	1	-	-
107	Penn State Mont Alto	US	1	-	-
108	The High School Affiliated to Renmin University of China	CN	1	-	-
109	University of Queensland	AU	1	-	-