The bibliometric data essential for calculating citation-based metrics were meticulously gathered on 2024-11-27. Institutional rankings are computed based on the sum of D-indexes (Discipline H-index) of all qualifying scholars affiliated with a given institution, with the primary publication area in Mathematics. The D-index represents a discipline-constrained H-index, ensuring that only publications and citation data directly relevant to Mathematics are factored into the assessment.
Scope of Research and Inclusion Criteria
The current edition of the ranking is underpinned by extensive analysis. Profiles of 279,971 scientists, identified across a variety of bibliometric data sources, were examined. Specifically, 15,282 scientists whose research activities are primarily in Mathematics were analyzed for inclusion. Each scientist was required to meet a D-index threshold of 30 to qualify. Furthermore, the majority of a scholar’s significant publications must be within the Mathematics discipline for consideration.
Consideration was also given to scientists’ awards and achievements in Mathematics, reflecting the broader impact and recognition of their work. The minimum D-index threshold for evaluating top researchers is adapted with an increment of 10, according to the estimated number of scholars in each discipline, thereby ensuring the inclusion of the top 1% of leading scholars. A proximity criterion of no more than 30% difference between a scientist's general H-index and their Mathematics D-index was enforced to ensure disciplinary focus. Achievements and distinctions in the field further contributed to the assessment of each scholar.
Verification and Quality Assurance Procedures
The Research.com team maintains a strong awareness that raw bibliometric data, while fundamental, should never stand as the sole metric for evaluating academic output. Accordingly, all scientist profiles included in the ranking were subjected to manual verification and cross-checked against a wide range of trustworthy and authoritative publication sources.
While the sheer number of articles published in prominent journals and conference proceedings is not a direct factor in determining a scientist’s position in the Research.com ranking, it serves as a valuable secondary indicator of an individual’s research contributions within Mathematics.
Each researcher’s ranking is established primarily via their H-index derived from the latest data available in OpenAlex and CrossRef, which are widely regarded as the most comprehensive research publication databases. For further details on the criteria and statistical techniques employed, readers are encouraged to consult our methodology page.
Research.com’s Mission and Agenda
Research.com aspires to inspire and empower scientists, academic leaders, business figures, and policymakers worldwide. Our mission is to facilitate exploration into the trajectories of leading experts, and to equip the research community with transparent tools for recognizing who the foremost authorities are—by discipline, country, or institution. This ranking serves not only as an academic benchmark but also as a resource for fostering cross-disciplinary collaboration, institutional benchmarking, and individual recognition.
Key Results of the 4th Edition Ranking
- Top 3 institutions in Australia by number of leading Mathematics scientists:
- University of New South Wales (15 scientists)
- Australian National University (15 scientists)
- University of Sydney (7 scientists)
- Most prominent mathematics scholars worldwide:
- Temple University
- Brown University
- Paul Sabatier University
- California Institute of Technology
- Lebanese American University
- University of California, Los Angeles
- Tel Aviv University
- Tsinghua University
- Stanford University
- Columbia University
- Top-ranked mathematicians globally:
- Professor Donald B. Rubin (Temple University): D-index 135
- George Em Karniadakis (Brown University): D-index 133
- Didier Dubois (Paul Sabatier University): D-index 131
- Benchmark statistics for university performance in Mathematics:
- Average total D-index for the top 5% of universities: 1192
- Average total D-index across all 824 ranked institutions: 179
- Average number of Mathematics articles by top 5% scholars: 4426
- Average number of Mathematics articles across all 824 universities: 798
- Average number of citations for top 1% universities: 279,971
- Average number of citations across all universities: 53,143
This meticulous and transparent process is central to Research.com's commitment to providing the global academic community with credible, actionable insights regarding leading institutions and researchers in the field of Mathematics.
