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Évariste Galois: Polynomial Solvability, Group Theory & Tragic Duel

Encyclopedia/1. The Cosmos & The Natural World/1. Mathematics & Formal Systems/14. Mathematical Biographies  •  Curated by Admin Timeline.sg

Timeline of French mathematician Évariste Galois, founder of Galois theory, whose revolutionary work on polynomial solvability and group theory was only recognized after his death in a duel at age 20.

Chronological Storyline (37 Milestones)

Oct 25, 1811 CE

Évariste Galois Born

Évariste Galois is born in Bourg-la-Reine, France, to Nicolas-Gabriel Galois and Adélaïde-Marie Demante. #mathematics #birth

Évariste Galois Born
Évariste Galois Born
By Unknown author - Iyanaga, Shokichi, "ガロアの時代 ガロアの数学 第一部 時代篇" , Springer-Verlag Tokyo, 1999 http://www.win.tue.nl/~aeb/at/GaloisCorrespondence.html, Public domain, https://commons.wikimedia.org/w/index.php?curid=103351
Oct 1, 1823 CE

Enters Lycée Louis-le-Grand

Galois enters the Lycée Louis-le-Grand in Paris, a prestigious school where he excels in mathematics. #education #mathematics

1827 CE

Discovers Mathematics Independently

Galois begins studying advanced mathematics on his own, including works of Lagrange, Gauss, and Abel. He rapidly masters the subject. #mathematics #selfstudy

1828 CE

First Mathematical Publication Attempt

Galois submits his first paper on continued fractions to the Académie des Sciences, but it is rejected. #mathematics #academia

May 25, 1829 CE

Father's Suicide

Galois's father commits suicide after a political scandal involving a forged letter. This deeply affects Galois. #family #tragedy

1829 CE

First Paper on Equation Theory Submitted to Cauchy

Galois submits a memoir on the solvability of polynomial equations to Augustin-Louis Cauchy. Cauchy loses or forgets the paper. #mathematics #galoistheory

1829 CE

Fails Entrance Exam to École Polytechnique

Galois fails the entrance examination for the École Polytechnique due to insufficient explanation of his ideas and an adversarial examiner. #education #setback

Feb 1, 1830 CE

Enters École Normale Supérieure

Galois is admitted to the École Normale Supérieure, then known as the École Préparatoire. He continues his mathematical research. #education #mathematics

Jul 1, 1830 CE

July Revolution and Political Awakening

The July Revolution in France leads to the overthrow of Charles X. Galois becomes politically active and a Republican. #politics #revolution

Dec 1, 1830 CE

Expelled from École Normale

Galois is expelled for a letter he wrote criticizing the school director in a newspaper. He joins the artillery militia of the National Guard. #education #expulsion

1830 CE

Publishes Three Papers on Algebraic Equations

Galois publishes three papers in the Bulletin de Férussac, outlining his theory of algebraic equations and group theory. #publication #mathematics

Jan 8, 1831 CE

Arrested for Threatening King Louis-Philippe

Galois proposes a toast with a dagger over his glass, threatening the king. He is arrested and imprisoned in Sainte-Pélagie prison. #politics #arrest

Jan 1, 1831 CE

Acquitted at Trial

Galois is acquitted at his trial for the alleged threat. He continues his political activities. #politics #trial

Feb 1, 1831 CE

Submits Memoir on Galois Theory to Académie

Galois submits a revised memoir on the solvability of algebraic equations to the Académie des Sciences. It is refereed by Poisson and Fourier. #mathematics #galoistheory

Jul 14, 1831 CE

Arrested at Republican Banquet

Galois is arrested again at a Republican banquet while wearing his National Guard uniform, which is forbidden. He is sentenced to six months in prison. #politics #arrest

Oct 1, 1831 CE

Poisson Rejects Memoir

Siméon Denis Poisson returns Galois's memoir with a rejection, stating it is incomprehensible and insufficiently developed. #mathematics #rejection

1831 CE

Imprisoned in Sainte-Pélagie

Galois serves his sentence in Sainte-Pélagie prison, where he continues to write mathematics and political manifestos. #imprisonment #mathematics

Mar 16, 1832 CE

Released from Prison

Galois is released from Sainte-Pélagie due to a cholera outbreak. He moves to a pension in Paris. #imprisonment #freedom

Apr 1, 1832 CE

Love Affair with Stéphanie-Félicie Poterin du Motel

Galois has a brief, intense relationship with Stéphanie-Félicie Poterin du Motel, which may have contributed to his duel. #personal #romance

May 29, 1832 CE

Night Before the Duel: Writes Mathematical Testament

The night before his fatal duel, Galois frantically writes down his mathematical discoveries, summarizing his theory of equations, group theory, and abelian integrals, outlining what later becomes Galois theory. #mathematics #galoistheory #lastwords

May 30, 1832 CE

Fatal Duel with Pescheux d'Herbinville

Galois fights a duel with Pescheux d'Herbinville, a Republican activist and possibly his lover's fiancé. He is shot in the abdomen and dies the next day. #duel #death

May 31, 1832 CE

Death of Évariste Galois

Galois dies at age 20 in the Cochin Hospital in Paris. His last words to his brother: 'Don't cry, I need all my courage to die at twenty.' #death #mathematics

Jun 2, 1832 CE

Burial in Montparnasse Cemetery

Galois is buried in a common grave at Montparnasse Cemetery in Paris. The exact location is unknown. #death #burial

1843 CE

Liouville Publishes Galois's Manuscripts

Joseph Liouville publishes Galois's corrected manuscripts in the Journal de Mathématiques Pures et Appliquées, finally recognizing their significance. #publication #galoistheory

1846 CE

Galois Theory Recognized

Liouville's publication leads to widespread appreciation of Galois's work. His theory becomes a cornerstone of modern algebra. #mathematics #galoistheory

1850 CE

Richard Dedekind's Lecture on Galois Theory

Dedekind lectures on Galois theory at the University of Göttingen, helping to spread the ideas. #mathematics #galoistheory

1870 CE

Camille Jordan Publishes Treatise on Substitutions

Jordan's 'Traité des substitutions et des équations algébriques' systematizes Galois theory, making it accessible to mathematicians. #mathematics #galoistheory

1894 CE

Galois's Complete Works Published

Émile Picard publishes the definitive edition of Galois's mathematical works, including his letters and the night-before-duel manuscript. #publication #mathematics

1900 CE

Galois Theory Becomes Mainstream

By the turn of the century, Galois theory is a standard part of advanced algebra courses, influencing fields like number theory and algebraic geometry. #mathematics #education

1946 CE

French Stamp Issued in Honor of Galois

A postage stamp featuring Galois is issued by France, commemorating his contributions to mathematics. #stamp #commemoration

1962 CE

Galois Biographies Published

Several biographies of Galois appear, including popular works by Évariste Galois (1868) and later by Tony Rothman and others. #biography #history

1971 CE

Galois's Original Letters Discovered

A cache of Galois's letters is found in the archives of the French Academy of Sciences, providing insight into his life and work. #archives #discovery

1998 CE

Galois's Grave Identified

After research, the approximate location of Galois's grave is identified in Montparnasse Cemetery. #history #cemetery

2006 CE

Galois Theory YouTube Video

A popular YouTube video explaining Galois theory goes viral, introducing his work to a new generation. #youtube #mathematicseducation

Oct 25, 2011 CE

Bicentenary of Galois's Birth

Celebrations and conferences are held in France and worldwide to mark the 200th anniversary of Galois's birth. #commemoration #bicentenary

2012 CE

Galois's Manuscripts Digitized

The Bibliothèque nationale de France digitizes Galois's manuscripts, making them freely accessible online. #digitization #archives

2014 CE

Galois Theory Game App

An educational mobile game based on Galois theory is developed, aiming to teach abstract algebra concepts. #education #app