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
| Name | Institution | PhD year | Direct Top 100 ties | Proximity score |
|---|---|---|---|---|
| Douglas Woodall | University of Nottingham | 1969 | 2 | 185.0 |
| Michael Filaseta | University of Illinois Urbana-Champaign | 1984 | 2 | 165.0 |
| David Feutrie | Université de Lorraine | 2019 | 2 | 137.0 |
| Peng Gao | University of Michigan | 2005 | 2 | 109.0 |
Level L2
| Name | Institution | PhD year | Direct Top 100 ties | Proximity score |
|---|---|---|---|---|
| T. Estermann | Universität Hamburg | 1925 | 2 | 99.0 |
| Benny Löffel | ETH Zurich | 2016 | 2 | 71.0 |
| Andreas Steiger | ETH Zurich | 2014 | 2 | 71.0 |
Level L3
| Name | Institution | PhD year | Direct Top 100 ties | Proximity score |
|---|---|---|---|---|
| Huafeng Liu | Shandong University | 2017 | 2 | 68.0 |
| Taiyu Li | Shandong University | 2012 | 2 | 68.0 |
| Dorian Goldfeld | Columbia University | 1969 | 2 | 55.0 |
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.
- Michael Filaseta (University of Illinois 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.
- David Feutrie (Université de Lorraine, 2019): A mathematician (PhD Université de Lorraine, 2019) 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.
- 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.
- Benny Löffel (ETH Zurich, 2016): A mathematician (2016) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
- Andreas Steiger (ETH Zurich, 2014): A mathematician (2014) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
- Huafeng Liu (Shandong University, 2017): A mathematician (2017) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
- Taiyu Li (Shandong University, 2012): A mathematician (2012) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.
- Dorian Goldfeld (Columbia University, 1969): A mathematician (1969) directly tied to 2 Top 100 researchers through advisor-student relationships in the genealogy network.