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; 74 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	0.91
2	Chinese Academy of Sciences	CN	1	0.15	0.98
3	University of Oxford	GB	3	0.26	0.81
4	Beijing Information Science and Technology University	CN	1	-	1.00
5	China University of Mining and Technology (Beijing)	CN	3	-	1.00
6	Royal Holloway University of London	GB	2	0.30	0.69
7	Shandong University of Finance and Economics	CN	1	-	0.90
8	Shandong Normal University	CN	1	-	0.89
9	University of Cambridge	GB	2	0.18	0.69
10	Eötvös Loránd University	HU	2	0.20	0.60
11	Imperial College London	GB	0	0.17	0.60
12	University of London	GB	0	0.16	0.60
13	Birkbeck, University of London	GB	0	0.13	0.60
14	Stanford University	US	1	0.24	0.42
15	University of Illinois Urbana-Champaign	US	3	0.11	0.53
16	Princeton University	US	1	0.34	0.26
17	Alfréd Rényi Institute of Mathematics	HU	2	-	0.61
18	University of Genoa	IT	1	0.29	0.27
19	Tianjin University	CN	1	-	0.55
20	University of Turku	FI	1	0.25	0.29
21	University of Göttingen	DE	2	0.16	0.31
22	Tongji University	CN	1	-	0.45
23	Shanghai Jiao Tong University	CN	1	-	0.44
24	University of California, Berkeley	US	0	0.17	0.27
25	San Jose State University	US	1	-	0.43
26	Shanghai University	CN	1	-	0.43
27	Purdue University West Lafayette	US	1	-	0.42
28	Pennsylvania State University	US	1	0.10	0.31
29	University of New South Wales	AU	0	0.11	0.26
30	Sorbonne Université	FR	0	0.12	0.23
31	University of Bristol	GB	0	0.03	0.32
32	University of Parma	IT	1	-	0.34
33	Queen's University at Kingston	CA	0	0.12	0.22
34	Henan Academy of Sciences	CN	1	-	0.33
35	University of Padua	IT	1	-	0.31
36	North China University of Water Resources and Electric Power	CN	1	-	0.31
37	Université Paris-Saclay	FR	1	0.08	0.22
38	Towson University	US	1	-	0.29
39	Université de Bordeaux	FR	1	0.10	0.19
40	Moscow State Pedagogical Institute	RU	0	0.16	0.12
41	Nanjing University	CN	0	0.07	0.22
42	West Chester University of Pennsylvania	US	1	-	0.27
43	University of California, Los Angeles	US	1	-	0.27
44	UNSW Sydney	AU	1	-	0.26
45	Heinrich Heine University Düsseldorf	DE	1	-	0.25
46	University of Bonn	DE	1	-	0.25
47	University of Michigan	US	1	0.06	0.18
48	Lomonosov Moscow State University	RU	1	0.11	0.13
49	Rutgers University	US	1	-	0.24
50	University of Kentucky	US	1	-	0.24
51	Durham University	GB	1	-	0.24
52	Université Paris-Est Créteil Val-de-Marne	FR	1	-	0.24
53	Université Paris Cité	FR	1	-	0.23
54	Ramakrishna Mission Vivekananda Educational and Research Institute	IN	1	-	0.23
55	University of Toronto	CA	1	0.12	0.11
56	Université de Montréal	CA	1	-	0.23
57	Sofia University "St. Kliment Ohridski"	BG	1	-	0.22
58	Dartmouth College	US	1	0.03	0.19
59	Iwate University	JP	1	-	0.22
60	Queen's University	CA	1	-	0.22
61	Technical University of Sofia	BG	1	-	0.22
62	Nanjing University of Finance and Economics	CN	1	-	0.22
63	Nanjing Normal University	CN	1	-	0.22
64	Brigham Young University	US	1	-	0.21
65	University of Helsinki	FI	1	-	0.20
66	Stellenbosch University	ZA	1	-	0.20
67	Nanchang University	CN	1	-	0.20
68	Nanjing University of Posts and Telecommunications	CN	1	-	0.20
69	University of Mississippi	US	2	-	0.19
70	KTH Royal Institute of Technology	SE	1	-	0.19
71	Graz University of Technology	AT	1	-	0.19
72	Utrecht University	NL	0	0.09	0.09
73	Universität Darmstadt	DE	0	0.08	0.09
74	University of Missouri	US	1	-	0.18
75	University of Waterloo	CA	1	0.08	0.10
76	Freie Universität Berlin	DE	0	0.15	0.02
77	University of Tsukuba	JP	1	0.15	0.02
78	Massachusetts Institute of Technology	US	0	0.12	0.04
79	Australian National University	AU	0	0.07	0.07
80	University of Hong Kong	HK	1	-	0.14
81	Harvard University		0	0.10	0.04
82	Universität Konstanz	DE	0	0.09	0.04
83	University of South Carolina	US	0	0.12	0.01
84	University of Alaska, Fairbanks	US	0	0.13	0.00
85	University of Bucharest	RO	0	0.09	0.01
86	University of Freiburg	DE	0	0.07	0.03
87	Aix-Marseille Université	FR	1	-	0.10
88	University of Colorado Boulder	US	1	-	0.10
89	Emory University	US	0	0.07	0.03
90	Queensland University of Technology	AU	1	-	0.09
91	Xian Polytechnic University	CN	1	-	0.09
92	UNSW Canberra	AU	2	-	0.08
93	Termez State University	UZ	1	-	0.07
94	Jimei University	CN	1	-	0.06
95	University of Georgia	US	1	-	0.06
96	University of Glasgow	GB	1	-	0.05
97	Universität Stuttgart	DE	0	0.01	0.05
98	Tata Institute of Fundamental Research	IN	1	-	0.05
99	Universität Ulm	DE	1	-	0.05
100	Uniwersytet Warszawski		0	0.05	-
101	ETH Zurich	CH	0	0.01	0.04
102	Virginia Tech	US	1	-	0.05
103	University of British Columbia	CA	0	0.02	0.00
104	Hellenic Military Academy	GR	1	-	0.02
105	University of Minnesota - Twin Cities	US	0	0.01	0.00
106	Dolby Laboratories	US	1	-	-
107	Institute of Mathematics, National Academy of Sciences of Tajikistan	TJ	1	-	-
108	University of New South Wales Canberra	AU	1	-	-
109	University of Queensland	AU	1	-	-