Top Mathematics Research Institutions

Stanford University ranks first in 2022-now, followed by Massachusetts Institute of Technology and Centre National de la Recherche Scientifique, out of 1,051 ranked institutions.

Quality score: the square root of excellence (the share of works in the world top 10% against what the place's own topics predict, on English-language articles and reviews) times the square root of the journal factor (its papers in the Nature Index's selective journals against what its topics predict), times output to the power 0.3 times breadth (how much of the selected area it works in) to the power 0.25. Floor: 40 fractional works in this field.

Mathematics

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Ranked by research quality, 2022-now

#	Institution	Score	Top-10% rate	Works	Citations	All time
1	Stanford UniversityUnited States · Stanford	100.0	17.2%	474	5.2k	#1
2	Massachusetts Institute of TechnologyUnited States · Cambridge	90.0	18.3%	483	2.6k	#10
3	Centre National de la Recherche ScientifiqueFrance · Paris	84.2	8.2%	4.1k	11k	#3
4	Harvard UniversityUnited States · Cambridge	80.1	19.8%	507	4.9k	#5
5	ETH ZurichSwitzerland · Zurich	76.9	15.8%	428	1.9k	#4
6	Princeton UniversityUnited States · Princeton	74.2	20.6%	329	2k	#2
7	Chinese Academy of SciencesChina · Beijing	72.0	15.3%	852	3.7k	#17
8	Max Planck SocietyGermany · Munich	70.1	17.2%	506	2k	#15
9	University of CambridgeUnited Kingdom · Cambridge	68.4	14.2%	495	2.5k	#6
10	University of OxfordUnited Kingdom · Oxford	66.9	15.9%	659	3.5k	#9
11	University of California, BerkeleyUnited States · Berkeley	65.5	16.0%	436	2.8k	#8
12	New York UniversityUnited States · New York	64.3	17.5%	433	2.4k	#11
13	Columbia UniversityUnited States · New York	63.1	15.2%	406	2.9k	#16
14	University of California, Los AngelesUnited States · Los Angeles	62.1	14.5%	388	3.2k	#12
15	Yale UniversityUnited States · New Haven	61.1	16.9%	284	1.6k	#20
16	University of EdinburghUnited Kingdom · Edinburgh	60.1	16.0%	321	1.5k	#42
17	University of California San DiegoUnited States · San Diego	59.3	10.9%	389	1.2k	#22
18	Johns Hopkins UniversityUnited States · Baltimore	58.5	14.9%	320	1.9k	#36
19	The University of TokyoJapan · Tokyo	57.7	10.9%	491	1.6k	#39
20	Northwestern UniversityUnited States · Evanston	56.9	18.2%	169	999	#23
21	University College LondonUnited Kingdom · London	56.2	16.1%	379	2.3k	#50
22	Tsinghua UniversityChina · Beijing	55.6	13.0%	653	2.6k	#30
23	Technical University of MunichGermany · Munich	54.9	10.9%	266	944	#82
24	University of WashingtonUnited States · Seattle	54.3	12.8%	371	2.5k	#24
25	University of MichiganUnited States · Ann Arbor	53.7	13.2%	525	2.8k	#19
26	Peking UniversityChina · Beijing	53.2	12.8%	490	2.2k	#62
27	Cornell UniversityUnited States · Ithaca	52.6	13.1%	294	1.3k	#18
28	Imperial College LondonUnited Kingdom · London	52.1	14.3%	358	2.3k	#13
29	École Polytechnique Fédérale de LausanneSwitzerland · Lausanne	51.6	15.1%	252	1.1k	#34
30	Georgia Institute of TechnologyUnited States · Atlanta	51.1	14.5%	268	1.3k	#46
31	California Institute of TechnologyUnited States · Pasadena	50.6	17.4%	204	885	#7
32	University of ChicagoUnited States · Chicago	50.2	11.3%	343	1.4k	#14
33	University of BonnGermany · Bonn	49.7	14.8%	311	1k	#37
34	Nankai UniversityChina · Tianjin	49.3	9.9%	350	855	#90
35	The University of Texas at AustinUnited States · Austin	48.9	12.9%	284	1.2k	#25
36	National University of SingaporeSingapore · Singapore	48.5	11.8%	316	1.2k	#69
37	University of ViennaAustria · Vienna	48.1	11.0%	410	1.3k	#58
38	Carnegie Mellon UniversityUnited States · Pittsburgh	47.7	14.8%	242	1.3k	#44
39	University of TorontoCanada · Toronto	47.3	12.5%	546	2.1k	#38
40	University of PennsylvaniaUnited States · Philadelphia	47.0	14.4%	269	1.6k	#29
41	Fudan UniversityChina · Shanghai	46.6	10.2%	472	1.6k	#100
42	University of Wisconsin–MadisonUnited States · Madison	46.3	11.7%	337	1.3k	#32
43	Ludwig-Maximilians-Universität MünchenGermany · Munich	45.9	14.6%	227	1.1k	#47
44	Durham UniversityUnited Kingdom · Durham	45.6	15.7%	188	889	#88
45	University of Chinese Academy of SciencesChina · Beijing	45.3	17.0%	212	956	#72
46	Austrian Academy of SciencesAustria · Vienna	45.0	12.7%	77	266	#97
47	Weizmann Institute of ScienceIsrael · Rehovot	44.7	13.1%	158	432	#40
48	Southern University of Science and TechnologyChina · Shenzhen	44.4	13.5%	194	722	#65
49	The University of MelbourneAustralia · Melbourne	44.1	15.0%	243	1.3k	#75
50	Sorbonne UniversitéFrance · Paris	43.8	10.5%	338	1.3k	#31
51	Rutgers, The State University of New JerseyUnited States · New Brunswick	43.5	11.2%	360	1.2k	#33
52	University of Illinois Urbana-ChampaignUnited States · Urbana	43.2	10.3%	374	1.3k	#41
53	Hunan UniversityChina · Changsha	42.9	14.3%	184	716	-
54	Université Paris-SaclayFrance · Gif-sur-Yvette	42.7	9.9%	384	991	#28
55	University of BristolUnited Kingdom · Bristol	42.4	12.9%	202	980	#66
56	Beijing Normal UniversityChina · Beijing	42.1	15.0%	499	1.8k	-
57	Shanghai Jiao Tong UniversityChina · Shanghai	41.9	13.0%	401	1.5k	-
58	Institute for Advanced StudyUnited States · Princeton	41.6	25.2%	121	873	#21
59	Jilin UniversityChina · Changchun	41.4	11.3%	271	840	-
60	UNSW SydneyAustralia · Sydney	41.2	12.5%	284	1.1k	-
61	University of WarwickUnited Kingdom · Coventry	40.9	11.1%	342	1.1k	#84
62	Nanjing UniversityChina · Nanjing	40.7	9.6%	238	637	#86
63	Duke UniversityUnited States · Durham	40.5	10.4%	285	1.1k	#81
64	Sichuan UniversityChina · Chengdu	40.2	13.4%	300	1.2k	-
65	University of Southern CaliforniaUnited States · Los Angeles	40.0	11.6%	244	1k	#60
66	McGill UniversityCanada · Montreal	39.8	11.7%	279	1.4k	#68
67	University of Science and Technology of ChinaChina · Hefei	39.6	9.1%	424	1.1k	#57
68	Utrecht UniversityNetherlands · Utrecht	39.4	12.6%	223	970	#83
69	Texas A&M UniversityUnited States · College Station	39.1	10.8%	325	1.2k	#61
70	Queen Mary University of LondonUnited Kingdom · London	38.9	13.9%	176	728	#93
71	Kyoto UniversityJapan · Kyoto	38.7	8.5%	450	1.1k	#79
72	University of Hong KongChina · Pok Fu Lam	38.5	13.4%	211	1.2k	-
73	University of British ColumbiaCanada · Vancouver	38.3	12.2%	359	1.4k	-
74	Humboldt-Universität zu BerlinGermany · Berlin	38.1	15.6%	146	748	#73
75	Helmholtz Association of German Research CentresGermany · Berlin	37.9	10.3%	405	1.3k	#35
76	University of ZurichSwitzerland · Zurich	37.8	14.0%	164	981	#64
77	Central South UniversityChina · Changsha	37.6	13.8%	423	1.7k	-
78	University of California, IrvineUnited States · Irvine	37.4	11.9%	222	798	#94
79	Université Paris CitéFrance · Paris	37.2	9.2%	256	822	#67
80	Wuhan UniversityChina · Wuhan	37.0	10.6%	288	894	-
81	Seoul National UniversitySouth Korea · Seoul	36.8	11.8%	246	907	-
82	University of VirginiaUnited States · Charlottesville	36.7	13.2%	213	686	-
83	Brown UniversityUnited States · Providence	36.5	15.6%	195	1.1k	#26
84	University of MünsterGermany · Münster	36.3	13.2%	235	713	#89
85	Shanghai UniversityChina · Shanghai	36.1	17.0%	329	1.4k	-
86	University of California, DavisUnited States · Davis	36.0	13.8%	218	1.1k	#98
87	Washington University in St. LouisUnited States · St Louis	35.8	10.8%	158	519	-
88	University of AmsterdamNetherlands · Amsterdam	35.6	14.9%	159	814	#96
89	University of Colorado BoulderUnited States · Boulder	35.5	13.5%	133	571	-
90	Uppsala UniversitySweden · Uppsala	35.3	11.3%	239	891	#43
91	Zhejiang UniversityChina · Hangzhou	35.2	11.6%	299	1k	-
92	Chongqing UniversityChina · Chongqing	35.0	14.2%	160	649	-
93	Johannes Gutenberg University MainzGermany · Mainz	34.9	12.4%	122	414	-
94	Stony Brook UniversityUnited States · Stony Brook	34.7	16.0%	162	707	#48
95	Université Paris Sciences et LettresFrance · Paris	34.5	14.8%	170	815	#45
96	Shandong UniversityChina · Jinan	34.4	9.4%	382	1.1k	-
97	KTH Royal Institute of TechnologySweden · Stockholm	34.2	15.3%	164	712	-
98	Pennsylvania State UniversityUnited States · State College	34.1	9.5%	320	964	#80
99	University of AlbertaCanada · Edmonton	34.0	12.9%	228	915	-
100	Michigan State UniversityUnited States · East Lansing	33.8	11.6%	274	1.3k	-

institutions ranked worldwide in Mathematics (1,051). rank on the quality score within the stated pool. The score track runs 0 to 100; the rate track carries no average mark, because the average differs by field (about 6% in Dentistry, 21% in Economics).

How spread out this pool is

Every row above on one axis, one tick each. Right is a higher score. A field where the top few are far clear of everyone and one that runs down evenly look identical as a table.