Henri Poincaré begins his career as a mathematician at the École polytechnique in the late 1870s. In 1881, he discovers Fuchsian functions and gains widespread recognition. He builds on the research of Lazarus Immanuel Fuchs (1833–1902) and Hermann Amandus Schwarz (1843–1921).
Poincaré reads Schwarz's work in the Berlin Academy's journal, the Journal de mathématiques pures et appliquées (Journal für die reine und angewandte Mathematik), also known as the Journal de Crelle after Augustus Leopold Crelle (1780–1855), who founded it in 1826. Poincaré calls it the Journal de Borchardt, after Carl Wilhelm Borchardt (1817–1880), an editor who succeeded Crelle.
The Journal de Crelle is one of the oldest mathematics journals still in publication. It played a major role in the rise of the German school of mathematics.
Journals of the period
----------------------
Henri Poincaré publishes most of his many early articles from 1879, 1880 and 1881 in the Comptes rendus de l’Académie des sciences (more than twenty, including a memoir submitted for the 1880 Grand Prize in Mathematical Sciences), which has existed since 1835. He publishes another in the Journal de mathématiques pures et appliquées, founded in 1836 by Joseph Liouville (1809–1882) as a successor to the Annales de Gergonne, published from 1810 to 1832 at the initiative of Joseph-Diaz
Gergonne (1771–1859).
In 1882, the Swedish mathematician Gösta Mittag-Leffler founds Acta Mathematica, a journal that remains highly influential today. Poincaré publishes three seminal papers in it: Théorie des groupes fuchsiens and Mémoire sur les fonctions fuchsiennes in the first issue, in December 1882, and Mémoire sur les groupes kleinéens in the third issue, in 1883.
