For this edition, bibliometric data utilized to devise citation-based metrics were systematically collected as of 2024-11-27. Each institution's position within the ranking is determined by summing the D-indexes (Discipline H-index) of all affiliated scholars whose principal publication area is Mathematics. Importantly, the D-index is a metric exclusive to publications and citations specifically related to the examined discipline, ensuring domain-relevant evaluation.
Scope of Research and Evaluation Criteria
The development of the ranking encompassed the evaluation of 279,971 scientist profiles identified from an array of bibliometric sources. For Mathematics specifically, 15,282 scientists were analyzed in detail. To ensure only the most impactful contributors are recognized, a qualifying D-index threshold of 30 was established for each scientist, with special attention to the requirement that the majority of their high-impact publications reside within Mathematics.
Additionally, consideration was given to scientists’ awards and achievements in Mathematics. The D-index threshold for identifying top researchers is dynamically set as an increment of ten, contingent on the overall scholar count in each discipline, ensuring inclusion of the top 1% of leaders in the field. To maintain discipline integrity, proximity between a scientist’s general H-index and their D-index must not exceed 30%. Further, scientist achievements in their discipline are factored into the assessment.
Verification and Data Integrity Practices
Recognizing the inherent limitations of raw bibliometric indicators, Research.com employs supplementary manual verification processes. All scientist profiles featured in the ranking have been meticulously reviewed and cross-referenced against publications from a wide array of reputable sources to confirm authenticity and discipline relevance.
While the count of papers published in leading journals and conference proceedings does not directly influence an individual’s ranking position, it is recognized as an important signal of a researcher’s contribution and impact within Mathematics. The final ranking is primarily constructed using each researcher’s H-index, according to records from OpenAlex and CrossRef—global leaders in accessible and accurate bibliometric data.
For further information regarding the methodology employed in this ranking, we invite interested readers to consult our methodology page.
Research.com’s Agenda and Mission
Research.com maintains a clear agenda in curating these rankings: to inspire and empower scientists, entrepreneurs, policymakers, and institutional representatives worldwide by providing reliable insights into the whereabouts and trajectories of leading subject-matter experts. Our aim is to foster greater transparency and accessibility for the wider research community, enabling stakeholders to accurately identify top experts within specific disciplines, across various countries, and within individual research institutions.
Key Findings from the 4th Edition Ranking
- Top 3 Russian institutions with the highest number of leading scientists in Mathematics:
- Lomonosov Moscow State University (4 scientists)
- St Petersburg University (3 scientists)
- National Research University Higher School of Economics (3 scientists)
- International prominence: The most distinguished mathematics scholars are affiliated with institutions such as 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, and Columbia University.
- Leading global mathematicians:
- Professor Donald B. Rubin (Temple University) – D-index: 135 (1st in the world)
- George Em Karniadakis (Brown University) – D-index: 133 (2nd in the world)
- Didier Dubois (Paul Sabatier University) – D-index: 131 (3rd in the world)
- Quantitative highlights:
- Average total D-index for the top 5% of universities: 1,192
- Average total D-index across all 824 institutions: 179
- Average number of published mathematics articles by top 5% scholars: 4,426
- Average number of mathematics articles for all 824 universities: 798
- Average citation count for researchers in the top 1% universities: 279,971
- Average citation count for all 824 universities: 53,143
This ranking reflects a rigorous and nuanced assessment methodology, emphasizing the significance of not only bibliometric indicators but also qualitative achievements, institutional excellence, and the sustained impact of contributing scholars. The result is a resource of value to the scientific community—supporting data-driven decisions, benchmarking, and recognition of outstanding achievement in the domain of Mathematics research.
