A scientist’s position in this ranking is determined by their D-index (Discipline H-index), a refined variant of the conventional H-index that considers only those papers and associated citations specific to the examined discipline. This approach ensures that the ranking accurately reflects a researcher’s influence and productivity in Mathematics, excluding citations extraneous to the field.
Scope of Research
The evaluation process began with an examination of 279,971 scientist profiles identified across a wide array of bibliometric sources, spanning all scientific disciplines. From this extensive dataset, 12 scientists specializing in Mathematics within Singapore were closely analyzed.
To qualify for inclusion in the ranking, a scientist’s D-index had to be at least 30, ensuring a benchmark of sustained scholarly impact in Mathematics. Additionally, a majority of a qualifying researcher’s tier publications needed to be within the field of Mathematics. Beyond bibliometric performance, awards and notable achievements specific to Mathematics also contributed to the evaluation process.
The threshold for the D-index is set dynamically in increments of 10, based on the estimated total number of scholars per discipline, to guarantee that the top 1% of leading experts are incorporated into the list. An important quality control includes ensuring that the proximity between the scientist’s general H-index and their D-index remains 30% or less. This constraint helps validate that the researcher’s citation impact is appropriately focused within the Mathematics discipline.
Verification and Validation Practices
We recognize that raw bibliometric data alone cannot comprehensively represent a researcher’s contributions. Consequently, each scientist profile included in the ranking was manually verified and rigorously cross-correlated against publications indexed in a broad collection of trustworthy, high-quality sources. This additional layer of validation safeguards the integrity and accuracy of the ranking.
While the number of papers published in prominent journals and conference proceedings does not directly determine ranking positions, it serves as a valuable secondary signal of a researcher’s influence within the field. The primary ranking criterion remains the D-index as derived from OpenAlex and CrossRef, which are among the most prominent and well-established bibliometric databases accessible to the global research community.
For a more detailed explanation of the methodology employed, we encourage readers to visit our methodology page.
Research.com’s Mission
The creation of this ranking aligns with Research.com’s broader mission to motivate researchers, industry leaders, and policymakers worldwide to explore emerging trends and directions within scientific research. By providing a transparent and meticulously curated overview of leading experts in specific disciplines, countries, and institutions, we aim to facilitate global scientific collaboration and recognition.
Ultimately, this ranking offers the entire scientific community a reliable reference to identify and engage with leading mathematicians in Singapore, thereby fostering knowledge exchange and promoting excellence across the research ecosystem.
