Mathematicians ranking

Steps

Gather eminence indicators
Clean indicators
Merge them in a common database
Divide by periods
Make a global rank => propose lists

Working directories

Auxiliary data : https://github.com/tig12/g5-aux/tree/main/eminence/math
Raw scans or pdf extracts of books about history of mathematics, original material used to build g5 raw data.
Permits to check raw data.
Versioned in a distinct git repository containing g5 auxiliary data : github.com/tig12/g5-aux
Raw data : github.com/tig12/ogdb-wiki/tree/main/eminence/math
Usable lists of mathematicians - versioned in a distinct repository, along with opengauquelin wiki data.
Input of g5 program
tmp data : workable version of raw data.
located in directory data/tmp/eminence/math - not versioned with g5 code.

Eminence indicators

Here are the indicators used so far :

Name	N	Scores	Type	20 first
Wikidata	2508	0 - 275	Link count	Einstein Newton Edison Descartes Koppernigk Pascal Gauss Dürer Russell Kepler Euler Wittgenstein Bruno Maxwell Hobbes Hilbert Dodgson Fourier Heisenberg Poincaré
MacTutor	2841	0 - 293	Link count	Hilbert Newton Euclid Riemann Poincare Euler Klein Einstein Gauss Weierstrass Laplace Cauchy Lagrange Hardy Lie Von-Neumann Fourier Dirichlet Leibniz Descartes
Bourbaki	458	1 - 51	Book index	Dedekind Leibniz Hilbert Gauss Riemann Euler Weierstrass Lebesgue Kronecker Lie Euclide Fermat Cauchy Newton Lagrange Poincaré Cantor Pascal Dirichlet Descartes
Dieudonné	330		Book index	Mathematicians are not sorted
Escofier	229	1 - 12	Book index	Fermat Euler Hilbert Gauss Poincaré Cauchy Grothendieck Galois Euclide Riemann Legendre Lagrange Pascal Monge Fourier Archimède Abel Weil Von-Neumann Newton
IREM	305	1 - 80	Book index	Euclide Euler Fermat Descartes Newton Chasles Archimede Aristote Lagrange Nicomaque Leibniz Gauss Galilee Legendre Alberti Mersenne Eudoxe Alembert Piero-della-francesca Bernoulli
PDD	220	1 - 20	Book index	Cauchy Gauss Euler Euclide Riemann Lagrange Dedekind Galois Poncelet Newton Leibniz Fermat Diophante Archimède Pythagore Klein Al-Karagi Cayley Weierstrass Descartes
fabpedigree	100		Ranked list	Newton Archimedes Gauss Euler Riemann Poincare Lagrange Euclid Hilbert Leibniz Grothendieck Fermat Galois Neumann Descartes Weier Ramanujan Weyl Dirichlet Abel

The choice of these indicators was guided by the availability of data, the ease to extract information.
For example, anglophone books on history of maths were not included because name and topic indexes are mixed, so names are not easily extractable.

Potential other indicators.

Academies - preparatory work done on academie-sciences.fr, cths.fr and others.
Field medal and other prizes

Wikidata

Wikidata poses a problem because some persons are associated to several different occupation codes. One person very famous in one discipline has a high link count and also appears on top in maths. This is the case for Einstein (physicist) and Kepler (astronomer). They both practiced maths but didn't make discoveries that would lead to consider them as important mathematicians.
For example, from wikidata 20 top list, I would remove Einstein, Edison, Koppernigk, Kepler, Wittgenstein, Bruno, Hobbes, Heisenberg and maybe Maxwell.

MacTutor

See github.com/tig12/mactutor-by-links

Bourbaki

type: book

title: Éléments d'histoire des Mathématiques
author: Nicolas Bourbaki
edition: |
  Springer
  2007 (3rd edition ; reprint from 1984 version, ed. Masson)

description: |
  "INDEX DES NOMS CITÉS", pp 366 - 376 of the book
  See https://github.com/tig12/g5-aux/tree/main/eminence/math/bourbaki

Dieudonné

type: book

title: Abrégé d'histoire des mathématiques
author: Jean Dieudonné
edition: |
  Hermann
  1996 (reprint)
    
description: |
  "Index historique", pp 495 - 512 of the book
  See https://github.com/tig12/g5-aux/tree/main/eminence/math/dieudonne

Escofier

type: book

title: Histoire des mathématiques
author: Jean-Pierre Escofier
edition: |
  Dunod
  Collection Les topos
  2008

description: |
  Index, pp 125 - 128 of the book
  See https://github.com/tig12/g5-aux/tree/main/eminence/math/escofier

IREM

type: book

title: Histoires de problèmes. Histoire des mathématiques
author: Commission Inter-IREM Epistémologie et Histoire des Mathématiques
edition: |
  Ed. Ellipses Paris
  Collection : IREM - Epistémologie et Histoire des Maths
  1993

description: |
  "Index des noms", pp 415 - 419 of the book
  See https://github.com/tig12/g5-aux/tree/main/eminence/math/irem

Bug line 306

RECORDE	Robert	vers 1510-1558	0

Peiffer Dahan Dalmenico

type: book

title: Une histoire des mathématiques - Routes et dédales
authors: 
  - Amy Dahan-Dalmedico
  - Jeanne Peiffer
edition: |
    Editions du Seuil
    1986

description: |
  "Index des noms propres", p 307-309 of the book
  See https://github.com/tig12/g5-aux/tree/main/eminence/math/peiffer-dahan-dalmenico

fabpedigree.com

Teachings

Human opinion

Here are listed the cases involving a choice made by humans.

Choice of the indicators
Removal of persons coming from other disciplines

Observed bias in the indicators

Citation count from book index do not reflect exactly the number of time a mathematician is cited in the book.
Example for PDD : Gauss appears in many pages not listed in the index.
=> Need for a tool similar to Google books: extract the names from the whole text, without being limited to the index.
Such a method applied to PDD would probably rank Gauss before Cauchy.
Current indicators have a national bias for France, because only French books were used.

Mathematicians eminence ranking