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

• Douglas Woodall (University of Nottingham, 1969): A mathematician (PhD University of Nottingham, 1969) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
• T. Estermann (Universität Hamburg, 1925): A mathematician (PhD Universität Hamburg, 1925) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
• Chengdong Pan (潘承洞) (, 1961): A mathematician (1961) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
• Olli Järviniemi (, 2023): A mathematician (2023) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
• Peter Sarnak (, 1980): A mathematician (1980) directly tied to 4 Top 100 researchers through advisor-student relationships in the genealogy network.
• Mattia Cafferata (Università degli Studi di Ferrara, 2019): A mathematician (PhD Università degli Studi di Ferrara, 2019) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
• Dorian Goldfeld (, 1969): A mathematician (1969) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
• Michael Filaseta (University of Illinois at Urbana-Champaign, 1984): A mathematician (PhD University of Illinois at Urbana-Champaign, 1984) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
• Harold Davenport (University of Cambridge, 1937): A mathematician (PhD University of Cambridge, 1937) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
• Taiyu Li (, 2012): A mathematician (2012) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
• Peng Gao (University of Michigan, 2005): A mathematician (PhD University of Michigan, 2005) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
• Stefan Neumann (Universität Stuttgart, 2006): A mathematician (PhD Universität Stuttgart, 2006) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.