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	1.00	1.00
2	University of California, Berkeley	US	1	1.00	0.19
3	Institute of Technology	US	0	0.75	0.43
4	Leiden University	NL	3	0.52	0.48
5	Sorbonne Université	FR	2	0.41	0.51
6	University of British Columbia	CA	2	0.42	0.41
7	University of Waterloo	CA	4	-	0.80
8	University of Oxford	GB	2	0.36	0.44
9	University of Udine	IT	1	0.42	0.32
10	University of Vienna	AT	0	0.63	0.09
11	Queen's University	CA	1	0.46	0.25
12	University of Graz	AT	0	0.45	0.25
13	Université Paris-Saclay	FR	0	0.23	0.44
14	Université de Strasbourg	FR	2	-	0.66
15	University of Strasbourg	FR	1	-	0.65
16	University of Cambridge	GB	0	0.38	0.23
17	Université Henri Poincaré Nancy 1	FR	0	0.23	0.38
18	Institute of Fundamental Research	IN	0	0.37	0.18
19	Centre National de la Recherche Scientifique	FR	2	-	0.51
20	University of Rochester	US	1	0.30	0.20
21	Universität Basel	CH	0	0.26	0.24
22	University of Exeter	GB	0	0.41	0.08
23	Pontifical Catholic University of Chile	CL	1	-	0.45
24	Pontificia Universidad Católica de Chile	CL	1	-	0.45
25	Massachusetts Institute of Technology	US	1	-	0.44
26	Boston University	US	1	-	0.44
27	Harvard University	US	1	-	0.43
28	University of Alaska, Fairbanks	US	0	0.43	0.00
29	Brown University	US	2	-	0.43
30	American Institute of Mathematics	US	1	-	0.42
31	California Institute of Technology	US	1	-	0.42
32	Université Louis Pasteur - Strasbourg I		0	0.41	-
33	Radboud University Nijmegen	NL	1	-	0.41
34	University of Warwick	GB	1	-	0.41
35	Moscow State Pedagogical Institute	RU	0	0.40	0.00
36	Universität Zürich	CH	0	0.22	0.18
37	University of Houston	US	1	-	0.39
38	Rice University	US	1	-	0.39
39	Université de Bordeaux	FR	0	0.38	0.00
40	University of Lorraine	FR	1	-	0.38
41	University of Mumbai	IN	0	0.19	0.18
42	UNSW Sydney	AU	2	-	0.38
43	University of California, Los Angeles	US	1	-	0.36
44	University of Notre Dame		0	0.36	-
45	Universität Stuttgart	DE	0	0.09	0.25
46	University of Colorado at Boulder		0	0.33	-
47	University of Salzburg	AT	1	-	0.31
48	Scuola Normale Superiore	IT	1	-	0.30
49	Royal Holloway University of London	GB	1	-	0.30
50	Université de la Méditerranée		0	0.29	-
51	Fordham University	US	1	-	0.28
52	Roma Tre University	IT	1	-	0.28
53	Texas State University	US	1	-	0.27
54	Aristotle University of Thessaloniki	GR	2	-	0.27
55	Stellenbosch University	ZA	1	-	0.27
56	Columbia University	US	1	-	0.26
57	Graz University of Technology	AT	1	-	0.25
58	Max Planck Institute for Mathematics	DE	2	-	0.24
59	Institute of Mathematics, Academia Sinica	TW	1	-	0.24
60	University of Bucharest	RO	0	0.23	0.01
61	Michigan State University	US	1	-	0.23
62	University of Arizona	US	1	-	0.23
63	Université Laval	CA	2	-	0.22
64	University of Illinois Urbana-Champaign	US	1	0.06	0.16
65	Universität Berlin	DE	0	0.20	0.02
66	Texas A&M University	US	1	-	0.22
67	University of Colorado Boulder	US	1	-	0.22
68	University of Göttingen	DE	1	-	0.21
69	Hanoi National University of Education	VN	1	-	0.21
70	Institute for Advanced Study	US	1	-	0.19
71	University of Illinois Chicago	US	1	-	0.19
72	University of Milan	IT	0	0.11	0.07
73	Indian Institute of Technology Bombay	IN	1	-	0.19
74	University of Science and Technology of China	CN	1	-	0.19
75	Goethe University Frankfurt	DE	1	-	0.19
76	Tata Institute of Fundamental Research	IN	1	-	0.18
77	Stanford University	US	1	-	0.18
78	Universiteit Leiden and Université Paris-Sud XI - Orsay		0	0.17	-
79	Tongji University	CN	1	-	0.17
80	Waseda University	JP	1	-	0.15
81	Beijing Institute of Mathematical Sciences and Applications	US	1	-	0.15
82	Tsinghua University	CN	1	-	0.15
83	Universiteit van Amsterdam		0	0.13	-
84	Kyoto University	JP	1	-	0.13
85	Université Grenoble Alpes	FR	1	-	0.13
86	University of Calgary	CA	1	-	0.10
87	Universiteit Nijmegen		0	0.08	-
88	Vilnius University	LT	1	-	0.06
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	University of Basel	CH	2	-	-
99	University of Bordeaux	FR	1	-	-
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	-	-