Institutions

Where the abc 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; 49 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	University of Debrecen	HU	5	0.99	1.00
2	University of California, Berkeley	US	1	1.00	0.21
3	Institute of Technology	US	0	0.76	0.44
4	Leiden University	NL	3	0.52	0.47
5	Sorbonne Université	FR	2	0.40	0.53
6	University of British Columbia	CA	2	0.42	0.41
7	University of Oxford	GB	2	0.36	0.44
8	University of Waterloo	CA	4	-	0.80
9	University of Udine	IT	1	0.41	0.32
10	Queen's University	CA	1	0.46	0.26
11	Université Paris-Saclay	FR	0	0.25	0.45
12	Université de Strasbourg	FR	2	-	0.67
13	University of Strasbourg	FR	1	-	0.66
14	University of Graz	AT	0	0.44	0.21
15	University of Vienna	AT	0	0.56	0.08
16	Université Henri Poincaré Nancy 1	FR	0	0.23	0.38
17	University of Cambridge	GB	0	0.39	0.23
18	Institute of Fundamental Research	IN	0	0.36	0.19
19	Centre National de la Recherche Scientifique	FR	2	-	0.53
20	Universität Basel	CH	0	0.27	0.24
21	University of Rochester	US	1	0.30	0.20
22	University of Exeter	GB	0	0.40	0.08
23	American Institute of Mathematics	US	1	-	0.45
24	California Institute of Technology	US	1	-	0.45
25	Massachusetts Institute of Technology	US	1	-	0.45
26	Pontifical Catholic University of Chile	CL	1	-	0.45
27	Pontificia Universidad Católica de Chile	CL	1	-	0.45
28	Boston University	US	1	-	0.44
29	Harvard University	US	1	-	0.44
30	Brown University	US	2	-	0.43
31	University of Alaska, Fairbanks	US	0	0.43	0.00
32	Radboud University Nijmegen	NL	1	-	0.41
33	Université Louis Pasteur - Strasbourg I		0	0.41	-
34	University of Warwick	GB	1	-	0.41
35	Universität Zürich	CH	0	0.22	0.18
36	Université de Bordeaux	FR	0	0.39	0.00
37	University of Mumbai	IN	0	0.20	0.19
38	University of Houston	US	1	-	0.38
39	Rice University	US	1	-	0.38
40	University of California, Los Angeles	US	1	-	0.38
41	University of Lorraine	FR	1	-	0.38
42	Moscow State Pedagogical Institute	RU	0	0.38	0.00
43	UNSW Sydney	AU	2	-	0.37
44	University of Notre Dame		0	0.36	-
45	Universität Stuttgart	DE	0	0.09	0.26
46	Université de la Méditerranée		0	0.31	-
47	Royal Holloway University of London	GB	1	-	0.31
48	University of Salzburg	AT	1	-	0.30
49	Scuola Normale Superiore	IT	1	-	0.30
50	Fordham University	US	1	-	0.29
51	Texas State University	US	1	-	0.28
52	Roma Tre University	IT	1	-	0.28
53	University of Bucharest	RO	0	0.26	0.01
54	Columbia University	US	1	-	0.27
55	Stellenbosch University	ZA	1	-	0.26
56	University of Colorado at Boulder		0	0.26	-
57	Max Planck Institute for Mathematics	DE	2	-	0.25
58	University of Illinois Urbana-Champaign	US	1	0.06	0.19
59	Michigan State University	US	1	-	0.24
60	Universität Berlin	DE	0	0.22	0.02
61	Institute of Mathematics, Academia Sinica	TW	1	-	0.24
62	Université Laval	CA	2	-	0.24
63	University of Arizona	US	1	-	0.22
64	University of Göttingen	DE	1	-	0.22
65	Aristotle University of Thessaloniki	GR	2	-	0.22
66	Texas A&M University	US	1	-	0.22
67	University of Colorado Boulder	US	1	-	0.22
68	Hanoi National University of Education	VN	1	-	0.21
69	Graz University of Technology	AT	1	-	0.21
70	University of Illinois Chicago	US	1	-	0.20
71	Institute for Advanced Study	US	1	-	0.20
72	Indian Institute of Technology Bombay	IN	1	-	0.19
73	Goethe University Frankfurt	DE	1	-	0.19
74	Tata Institute of Fundamental Research	IN	1	-	0.19
75	Stanford University	US	1	-	0.19
76	University of Milan	IT	0	0.12	0.07
77	University of Science and Technology of China	CN	1	-	0.19
78	Tongji University	CN	1	-	0.18
79	Universiteit Leiden and Université Paris-Sud XI - Orsay		0	0.17	-
80	Tsinghua University	CN	1	-	0.16
81	Waseda University	JP	1	-	0.15
82	Beijing Institute of Mathematical Sciences and Applications	US	1	-	0.15
83	Kyoto University	JP	2	-	0.15
84	Universiteit van Amsterdam		0	0.13	-
85	Université Grenoble Alpes	FR	1	-	0.12
86	University of Calgary	CA	1	-	0.10
87	Universiteit Nijmegen		0	0.08	-
88	Vilnius University	LT	1	-	0.07
89	Université de Montréal	CA	1	-	0.06
90	Utah Valley University	US	1	-	0.05
91	Hong Kong University of Science and Technology	HK	1	-	0.05
92	Universität Heidelberg		0	0.04	-
93	University of South Carolina	US	1	-	0.04
94	Carleton University	CA	1	-	-
95	Eindhoven University of Technology	NL	1	-	-
96	Gonville and Caius College, University of Cambridge	GB	1	-	-
97	Max Planck Society	DE	1	-	-
98	The University of Tokyo	JP	1	-	-
99	University of Basel	CH	2	-	-
100	University of Caen Normandy	FR	1	-	-
101	University of Duisburg-Essen	DE	1	-	-
102	University of Zagreb	HR	1	-	-
103	York University	CA	1	-	-