Mathematical Genealogy

Close relations of the Top 100, by proximity score

Every PhD mathematician has an advisor, and every advisor has an advisor. The Mathematics Genealogy Project catalogs this lineage. We use it to surface close relations: researchers not in the Top 100 by publication count, but who sit in its immediate orbit through advisor-student relationships.

How the proximity score works

We build one graph from the advisor and student trees of all Top 100 researchers. A close relation is an outsider directly tied (as advisor or student) to at least two Top 100 researchers. Each gets a proximity score that sums, over those direct ties, 101 minus the connected researcher's rank. Being tied to the top of the list counts for much more than being tied to the bottom. Only direct ties count; people already in the directory and deceased mathematicians are excluded.

Level L1

Level L2

Level L3

Notes

• Peter Clive Sarnak (University, 1980): A mathematician (PhD University, 1980) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
• Olga Balkanova (Università degli Studi di Milano and Université Bordeau, 2015): A mathematician (PhD Università degli Studi di Milano and Université Bordeau, 2015) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
• Dorian Morris Goldfeld (University, 1969): A mathematician (PhD University, 1969) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.