Ranked 1st in the world for Mathematics
Source: ShanghaiRanking Global Ranking of Academic Subjects: Mathematics, 2025
Full ranking profile 63 placements
Every placement the Index records for Princeton University. The headline figure is the strongest of these.
| Ranking table | Publisher | World rank |
|---|---|---|
| ARWU GRAS 2025 Headline Mathematics | ShanghaiRanking Consultancy | =1 |
| USN-Nat 2026 | U.S. News & World Report | =1 |
| ARWU GRAS 2025 Physics | ShanghaiRanking Consultancy | =2 |
| Leiden 2025 scientific impact (top 10% most-cited papers) | Centre for Science and Technology Studies, Leiden University | =2 |
| Leiden 2025 social sciences and humanities (top 10% most-cited papers) | CWTS, Leiden University | =2 |
| THE 2026 | Times Higher Education | =3 |
| ARWU GRAS 2025 Political Sciences | ShanghaiRanking Consultancy | =3 |
| Leiden 2025 biomedical and health sciences (top 10% most-cited papers) | CWTS, Leiden University | =3 |
| NTU 2025 Mathematics | National Taiwan University | =3 |
| Forbes 2025-2026 | Forbes | =3 |
| Leiden 2025 mathematics and computer science (top 10% most-cited papers) | Centre for Science and Technology Studies, Leiden University | =4 |
| WSJ 2026 | Wall Street Journal | =4 |
| Leiden 2025 life and earth sciences (top 10% most-cited papers) | CWTS, Leiden University | =6 |
| THE-Rep 2025 reputation | Times Higher Education | =7 |
| ARTU 2025 | UNSW Sydney | =8 |
| Leiden 2025 physical sciences and engineering (top 10% most-cited papers) | Centre for Science and Technology Studies, Leiden University | =9 |
| Time 2026 | Time / Statista | =11 |
| Nature 2025 physical sciences | Nature / Springer Nature | =12 |
| RUR 2026 | RUR Rankings Agency | =16 |
| NTU 2025 Space Science | National Taiwan University | =16 |
| RUR 2026 teaching | RUR Rankings Agency | =17 |
| URAP 2024-2025 Physical Sciences | METU (URAP Lab) | =19 |
| NTU 2025 Natural Sciences | National Taiwan University | =24 |
| Webomet 2025.2 (July 2025) | Cybermetrics Lab, CSIC | =24 |
| QS 2026 | Quacquarelli Symonds | =25 |
| NTU 2025 Electrical Engineering | National Taiwan University | =25 |
| NTU 2025 Computer Science | National Taiwan University | =26 |
| RUR 2026 research | RUR Rankings Agency | =29 |
| NTU 2025 Physics | National Taiwan University | =29 |
| MosIUR 2025 | Association of Rating Makers (MosIUR) | =32 |
| URAP 2024-2025 Mathematical Sciences | METU (URAP Lab) | =34 |
| Nature 2025 biological sciences | Nature / Springer Nature | =35 |
| Nature 2025 Earth & environmental sciences | Nature / Springer Nature | =36 |
| NTU 2025 Geosciences | National Taiwan University | =38 |
| NTU 2025 Mechanical Engineering | National Taiwan University | =43 |
| Nature 2025 | Nature / Springer Nature | =55 |
| SCImago 2026 Arts and Humanities | SCImago Research Group | =57 |
| URAP 2024-2025 Studies in Human Society | URAP Research Laboratory, Middle East Technical University | =58 |
| SCImago 2025 Mathematics | SCImago Research Group | =65 |
| SCImago 2025 Economics, Econometrics and Finance | SCImago Research Group | =71 |
| SCImago 2026 Physics and Astronomy | SCImago Research Group | =79 |
| SCImago 2025 Computer Science | SCImago Research Group | =81 |
| SCImago 2025 Engineering | SCImago Research Group | =83 |
| RUR 2026 international diversity | RUR Rankings Agency | =92 |
| NTU 2025 Engineering | National Taiwan University | =102 |
| NTU 2025 Social Sciences | National Taiwan University | =115 |
| SCImago 2025 Earth and Planetary Sciences | SCImago Research Group | =124 |
| NTU 2025 | National Taiwan University | =129 |
| RUR 2026 financial sustainability | RUR Rankings Agency | =132 |
| SCImago 2026 Chemistry | SCImago Research Group | =138 |
| NTU 2025 Agriculture | National Taiwan University | =149 |
| SCImago 2025 Social Sciences | SCImago Research Group | =152 |
| SCImago 2026 | SCImago Research Group | =153 |
| Nature 2025 health sciences | Nature / Springer Nature | =154 |
| SCImago 2026 Biochemistry, Genetics and Molecular Biology | SCImago Research Group | =154 |
| URAP 2025-2026 | URAP Research Laboratory, Middle East Technical University | =175 |
| NTU 2025 Life Sciences | National Taiwan University | =226 |
| SCImago 2025 Psychology | SCImago Research Group | =260 |
| Leiden 2025 | Centre for Science and Technology Studies, Leiden University | =295 |
| SCImago 2026 Environmental Science | SCImago Research Group | =335 |
| SCImago 2025 Agricultural and Biological Sciences | SCImago Research Group | =377 |
| SCImago 2025 Medicine | SCImago Research Group | =419 |
| NTU 2025 Clinical Medicine | National Taiwan University | =501 |
Banded results are recorded at the lower bound of the band. For how the headline figure is selected, see the methodology.