Who's Who in abc Conjecture Research
A directory of researchers working on the abc conjecture
The abc conjecture, formulated by David Masser and Joseph Oesterle in 1985, asserts that for coprime positive integers with a + b = c, the value c is bounded above by a fixed power of the radical of abc (the product of its distinct prime factors). The conjecture is open.
This site is a reference directory of the researchers most active on the abc conjecture and surrounding problems (the Szpiro and Vojta conjectures, S-unit and Thue equations, and Belyi maps). It catalogs the Top 100, ranked from arXiv preprint output, OpenAlex citation data, and zbMATH classifications, with their institutions, and offers a curated reading list.
Where to start
- Home: This page.
- The Top 100: the canonical ranked list, sortable and filterable in your browser.
- Locations: where the Top 100 are based, shown by world region with maps.
- Institutions: the institutions ranked three ways: where the Top 100 work today, where they earned their PhDs, and a canonical blend of the two.
- In Memoriam: researchers in this directory who are no longer with us.
- Genealogy: close relations of the Top 100 through advisor-student lineage in the Mathematics Genealogy Project.
- Network: the coauthorship graph among the Top 100: who has written papers with whom.
- Reading List: the recent topical papers ranked by the prominence of their authors in this directory, plus the most-cited papers of all time.
- Overlap: the researchers who also appear across the related conjecture sites.
- About: what this site is, who built it, and where to find the methodology, the open dataset, and how to request a correction.