A central metric used to determine a scientist’s position in the ranking is the D-index (Discipline H-index), which specifically accounts for scholarly output and citation impact within the examined discipline—in this case, Mathematics. This metric isolates discipline-specific contributions, thereby providing a precise measure of a researcher’s influence and productivity in Mathematics rather than relying on general research impact.
Scope of Research and Inclusion Criteria
To establish the ranking, a total of 279,971 scientist profiles identified from various bibliometric data sources across all disciplines were analyzed, with a focused subset of 13 scientists specifically in Mathematics from New Zealand. For qualification within the Mathematics ranking, a scientist’s D-index had to meet or exceed a threshold of 30, and a majority of their tier publications had to be demonstrably in the field of Mathematics.
In addition to bibliometric thresholds, consideration was also given to a researcher’s awards and achievements in Mathematics to ensure the recognition of excellence beyond citation metrics. The D-index threshold is adjusted in increments of 10 relative to the estimated total number of scholars within each discipline, thereby guaranteeing that the top 1% of leading scholars in the field are included. Furthermore, to ensure discipline specialization, a proximity criterion was applied such that the difference between a scientist's general H-index and their D-index does not exceed 30%.
Verification and Validation Procedures
Recognizing that raw bibliometric data alone cannot serve as an absolute measure of scholarly output, all scientist profiles included in this ranking were manually verified and cross-correlated against a broad spectrum of trustworthy publication sources. This rigorous verification process underpins the credibility and reliability of the ranking.
While the number of papers published in prominent journals and conference proceedings does not directly influence a researcher’s position in the Research.com ranking, it remains a valuable secondary indicator of a scientist’s contribution to the field of Mathematics. Ultimately, the ranking position is established based on the D-index calculated using citation data from OpenAlex and CrossRef, the two most prominent and authoritative bibliometric databases accessible to the scholarly community.
For an in-depth overview of the methodology and evaluation criteria employed, readers are encouraged to visit our methodology page.
Research.com’s Mission and Vision
Research.com is committed to motivating researchers, companies, and policymakers worldwide to actively track where leading experts are directing their efforts. Our mission is to provide the entire scientific community—and its stakeholders—with transparent, data-driven insights into who the foremost experts are within specific areas of study, across countries, and within research institutions.
By producing meticulously curated rankings, Research.com aspires to facilitate informed decision-making and collaboration within academia, industry, and government, ultimately advancing the global knowledge ecosystem through clarity and recognition of scientific excellence.
