

Unknown artist, portrait of Evariste Galois at about fifteen, about 1826, first published in P. Dupuy, La vie d'Evariste Galois (1896); scan via Wikimedia Commons · Pencil portrait of Evariste Galois at about fifteen or sixteen, drawn from life about 1826 by an unknown artist, kept by his niece Madame Guinard (daughter of his elder sister) and first published as a reproduction in Paul Dupuy, 'La vie d'Evariste Galois', Annales scientifiques de l'Ecole normale superieure, 1896, whose text says the portrait was made from nature when he was fifteen or sixteen. The file is a scan of the drawing from Wikimedia Commons, downscaled from 945 x 1316 to 862 x 1200 pixels; no upscaling and no retouching. · Public domain (anonymous drawing of about 1826, first published in France in 1896; public domain in the United States by publication before 1931 and expired in France before 1996)
mathematician · 19th Century
Évariste Galois
1811–1832
Known For
Not yet included in personality matching — the documented evidence doesn't yet cover enough of the personality model. Everything else on this page is fully available.
Trait Constellation
Key Achievements
French mathematician who gave a definitive answer to when an algebraic equation is solvable by radicals, by tying solvability to the group of the equation, a founding step of modern algebra now called Galois theory.
In under a hundred pages he also introduced 'Galois imaginaries', a precursor of the theory of finite fields, and results on elliptic and abelian integrals.
His work was lost or rejected by the Academy of Sciences in his lifetime (he died in 1832, aged twenty) and became known only when Joseph Liouville announced it in 1843 and published it in 1846.
Moments That Reveal Them
In his first year of mathematics he found the elementary algebra textbooks unsatisfying and went instead to Lagrange's own treatises on the resolution of equations and on analytic functions.
This is consistent with a student who preferred to learn from the original masters rather than from textbooks. Independent Thinking
After his first two memoirs were lost at the Academy, he submitted a third version of his memoir on solvability by radicals on 17 January 1831 at Poisson's invitation, and Poisson and Lacroix reported on it as neither clear nor developed enough.
This is consistent with someone who kept resubmitting his work after setbacks, even when the exposition left readers unconvinced. Persistence
Turning Points
In February 1827 he began his first mathematics class at the Lycée Louis-le-Grand; his director of studies wrote that 'it is the passion for mathematics which dominates him', and within two years he published his first paper, on continued fractions.
This is consistent with a student who turned wholeheartedly to one field once he met it. Mastery Orientation
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Opposite Profile
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Sources
- Évariste Galois (Q7091), verified live via the Wikidata API (2026-11-02): label 'Évariste Galois', description 'French mathematician (1811-1832)', born 25 October 1811, died 31 May 1832, Korean label 에바리스트 갈루아. Orientation only; not used as support for any row.
- René Taton, 'Galois, Évariste', Complete Dictionary of Scientific Biography (hosted on Encyclopedia.com), read in full. CANONICAL SIGNIFICANCE SOURCE: a body of work under a hundred pages that gives 'a definitive answer' to when an algebraic equation is solvable by radicals; by tying the question to the group of the equation (an irreducible equation of prime degree is solvable only if its group is solvable) he helped lay one of the foundations of modern algebra; his May 1829 results went to Cauchy, who asked him to revise in light of Abel; the February 1830 prize memoir was lost on Fourier's death; Poisson's 1831 report judged part of the results to be in Abel's posthumous papers and the rest incomprehensible; Liouville announced the solution to the Academy in September 1843 and published the memoir in the Journal de mathématiques in October-November 1846; the article also credits 'Galois imaginaries' and results on elliptic and abelian integrals. Standard scholarly reference; its praise is retrospective.
- MacTutor History of Mathematics (University of St Andrews), 'Évariste Galois' biography, read in full: his schooling at Louis-le-Grand where the director of studies wrote 'it is the passion for mathematics which dominates him' and Vernier reported 'intelligence, marked progress but not enough method'; the teacher Louis Richard's remark that he 'works only in the highest realms of mathematics'; his first paper on continued fractions (1829); submissions of 1829, 1830 and January 1831 to the Academy (the first two lost); two failed entrance examinations for the École Polytechnique, whose examiner called him 'sometimes obscure in expressing his ideas' but showing 'a remarkable spirit of research'; Poisson's rejection ('neither sufficiently clear nor sufficiently developed to allow us to judge its rigour'); the marginal note 'there is something to complete in this demonstration. I do not have the time'; Liouville's 1843 announcement and 1846 edition; and the point that the story of a last night spent writing out all his mathematics 'appears to have been exaggerated'. Independent university biography; politics, prison and the duel are treated there and are NOT scored here.
- British Society for the History of Mathematics Gresham College lecture handout, 'The Memoirs and legacy of Évariste Galois' (3 November 2011, initialled PMN, Queen's College Oxford; the author of the 2011 European Mathematical Society edition of Galois's writings), read in full: a dated chronology of his education, his April 1829 continued-fractions article, the 1829 and 1830 Academy submissions whose manuscripts are lost, his 'Sur la théorie des nombres' (June 1830) described as containing a precursor of the theory of finite fields, the Premier Mémoire (17 January 1831) described as containing Galois theory, Lacroix and Poisson's negative report of 4 July 1831, and the editions of 1846 (Liouville), 1897, 1906-07, 1962 and 2011. Learned-society handout by a specialist editor; chronology only, no interpretation of character.
- Caroline Ehrhardt, 'La naissance posthume d'Évariste Galois (1811-1832)', Revue de synthèse 131 (2010), pp. 543-568, read in part (abstract, introduction and the passages on the 1831 report and the 1843 Liouville-Libri debate): the Premier Mémoire had not received the Academy's approval in his lifetime; Lacroix and Poisson judged the reasoning 'neither clear enough nor developed enough' and preferred to wait until the author had published his work in full; Liouville's 1846 edition did not fill the gaps the Academy had pointed to; the author argues that the 'rediscovery' of Galois belongs to a wider redefinition of algebra and to a rivalry between Liouville and Libri. Independent historian's article in French; a critical, contextual counter-voice to the heroic account.
- Frédéric Brechenmacher, 'Galois Got his Gun' (arXiv 1111.0655), read in part (introduction and the sections on the public image of Galois): shows that Galois was a public figure from the 1830s on, long before Liouville's 1846 edition, and traces how editions by Liouville (1846), Picard (1897) and Dieudonné (1962) and later celebrations shaped a heroic public image; cites Rothman, Taton and Ehrhardt on the fictionalised biographies. Independent historian of mathematics; used for the reception and legend caveats, not for traits.
- Paul Dupuy, 'La vie d'Évariste Galois', Annales scientifiques de l'École normale supérieure, 3rd series, volume 13 (1896), pp. 197-266 (Numdam scan, OCR text read at the passages on his schooling, his teachers, the lost 1830 memoir and the portraits): the earliest detailed biography, by the school's superintendent, built on the testimony of surviving classmates (Lalanne and Bénard), family papers and the school's archives; reports that Galois found elementary algebra books unsatisfying and turned in his first year of mathematics to Lagrange, that Richard's quarterly notes in the school archives read 'a marked superiority over all his fellow students; he works only on the higher parts of mathematics', and that Liouville said Galois had worked on his theory of equations since his school days. Near-contemporary but written 64 years after his death and partly from classmates' memories, so used as supporting biography only.