Each university’s position within the ranking is determined by the aggregate of the D-indexes (Discipline H-index) held by its affiliated scholars, provided their principal publication field is Mathematics. It should be noted that the D-index calculation is exclusive to publications and citation data pertinent to the field of Mathematics. This approach guarantees relevance and comparability when evaluating institutional strength in the discipline.
Scope of Research and Analytical Criteria
For this edition, the methodology processed a vast dataset encompassing 279,971 scientist profiles sourced from prominent bibliometric databases. Of these, 15,282 scientists with a primary research focus in Mathematics were specifically analyzed.
To ensure exceptional rigor, a minimum D-index threshold of 30 was applied to candidate scientists, and a majority of their top-tier publications had to be firmly established in Mathematics. Additional considerations included each scientist’s awards and achievements within the field, underscoring a qualitative dimension to the bibliometric analysis.
The D-index threshold for the identification of top researchers is set in 10-point increments specific to the scale of each discipline, thus guaranteeing the inclusion of the top 1% of leading scholars. Importantly, the methodology mandates a maximum proximity of 30% between the scientist’s general H-index and their D-index, ensuring disciplinary focus. Achievements and honors further inform the evaluation of individual scholars.
Verification Practices and Methodological Integrity
The editorial team at Research.com acknowledges the inherent limitations of raw bibliometric data. As a result, all scientist profiles included in the ranking underwent manual verification, with extensive cross-correlation against publications listed in a wide spectrum of authoritative sources.
While the number of papers published in prominent journals and conference proceedings is not a ranking factor in the Research.com mathematics ranking, it is nonetheless recognized as a valuable supplementary indicator of research impact and productivity in the field.
Institutional and individual positions in the ranking utilize the H-index values as curated from OpenAlex and CrossRef — two of the most respected and comprehensive bibliometric platforms available to the academic community. Researchers and institutions interested in learning more about the procedural intricacies and criteria are encouraged to visit our methodology page.
Research.com’s Mission and Agenda
The overarching mission behind the Research.com ranking is to foster discovery, transparency, and excellence in academic research globally. By systematically identifying and publicizing the achievements of leading experts across disciplines and geographies, we aim to:
- Motivate scientists, entrepreneurs, and policymakers to examine where leading-edge expertise is emerging;
- Empower the research community to identify thought leaders within specific fields;
- Facilitate connections and benchmarking across institutions and nations.
Our approach is designed to stimulate scholarly collaboration, strategic investment, and informed academic discourse by making expert contributions visible and quantifiable.
Key Results of the 4th Edition Best Mathematics Universities in Taiwan Ranking
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Top 3 institutions with the most leading Mathematics scholars in Taiwan:
- National Yang Ming Chiao Tung University (4 scientists)
- Feng Chia University (3 scientists)
- National Taiwan University (2 scientists)
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The most prominent Mathematics scholars worldwide are affiliated with:
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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Top-ranked individual scholars:
- 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
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Average total D-index: For the top 5% of universities, the average total D-index is 1192, compared to an overall average of 179 across all 824 institutions.
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Average number of published articles in Mathematics: Scholars affiliated with the top 5% universities published on average 4,426 articles each, compared to an average of 798 articles across all institutions considered.
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Average number of citations: Researchers from the top 1% of universities averaged 279,971 citations, whereas the average for all 824 universities is 53,143.
These results highlight the outstanding academic output and global connectivity of Taiwan’s leading Mathematics universities, as well as the methodological rigor underpinning the Research.com ranking. We invite researchers, institutional leaders, and policymakers to engage with these insights and explore the full potential of our data-driven evaluation by consulting our methodology page.