The core measure determining institutional ranking placement is the cumulative D-index (Discipline H-index) of all qualifying scholars at a given university whose main area of publication is Mathematics. The D-index exclusively encompasses publications and citations directly related to Mathematics, ensuring discipline-specific accuracy and relevance.
Scope of Research and Selectivity Criteria
Our ranking is grounded in an exhaustive examination of 279,971 scientist profiles sourced from a diverse array of bibliometric databases. Of these, 15,282 scholars specializing in Mathematics met the strict inclusion criteria for further analysis. A qualifying D-index threshold of 30 was established for individual scholars, and only those whose primary body of work is in Mathematics were considered. Additionally, a scholar’s recognitions, such as awards and significant achievements in Mathematics, contributed to the evaluation.
The D-index threshold for top researchers increments by 10 points, nuanced by the estimated volume of scholars within each discipline, while maintaining the imperative that the top 1% of leading mathematicians are represented. An additional screening ensured a proximity of 30% or less between each researcher’s general H-index and their discipline-specific D-index, further confirming the focus and depth of expertise within Mathematics. Consideration of scientists’ accolades and contributions to their field further enriched the credibility and distinction of those included.
Verification and Data Integrity Practices
Recognizing that raw bibliometric data alone cannot fully encapsulate the impact and quality of scientific work, the Research.com team implemented comprehensive manual verification for each scholar profiled in the ranking. Each profile was carefully cross-referenced against reputable publication sources and subject to stringent accuracy controls. Although the number of papers appearing in leading journals and conference proceedings does not directly affect ranking position, it serves as a valuable auxiliary indicator reflecting a scholar’s research significance.
Ranking positions are determined using individual researchers’ H-index scores, aggregated from both OpenAlex and CrossRef — two of the leading, reliable citation databases relied upon by the international research community. For an in-depth explanation of the statistical and methodological standards applied, please refer to our methodology page.
Purpose and Mission Behind the Research.com Ranking
At Research.com, our mission is to inspire advancement and strategic decision-making in science, industry, and policy by illuminating the contributions and trajectories of top experts in Mathematics and other disciplines. Our ranking serves as a comprehensive resource empowering scientists, academic leaders, business stakeholders, and policymakers worldwide to identify leading talent, benchmark institutional achievements, and foster collaborations within and across borders.
Key Results and Highlights: 4th Edition Mathematics Ranking
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Top 3 U.S. institutions by number of leading mathematicians:
- University of California, Berkeley (55 scientists)
- Massachusetts Institute of Technology (MIT) (42 scientists)
- Stanford University (42 scientists)
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Most prominent mathematicians globally are affiliated with leading 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.
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Best scientist in the world (Mathematics):
- Professor Donald B. Rubin, Temple University — D-index 135 (Rank 1)
- George Em Karniadakis, Brown University — D-index 133 (Rank 2)
- Didier Dubois, Paul Sabatier University — D-index 131 (Rank 3)
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Performance metrics among ranked institutions:
- Average total D-index for the top 5% universities: 1192
- Average total D-index for all 824 ranked institutions: 179
- Average number of published Mathematics articles by top 5% university affiliates: 4,426
- Average number of published Mathematics articles for all institutions: 798
- Average citations of researchers at top 1% universities: 279,971
- Average citations for all 824 institutions: 53,143
The 4th edition of the Research.com Mathematics Universities in United States Ranking exemplifies meticulous data collection, thorough verification practices, and discipline-specific analysis. We invite scientists, academic representatives, and research stakeholders to explore the findings and methodology as we continue our commitment to excellence in research assessment.
