Leopold Kronecker

Leopold Kronecker
Leopold Kronecker
	Kronecker in 1865
Born	7 December 1823; Liegnitz, Province of Silesia, Prussia
Died	29 December 1891 (aged 68); Berlin, German Empire
Citizenship	Prussian
Alma mater	University of Berlin
Known for	Arithmetization of analysis; Kronecker delta; Kronecker foliations; Kronecker limit formula; Kronecker symbol; Kronecker product; Kronecker quiver; Kronecker substitution; Kronecker's congruence; Kronecker's Jugendtraum; Kronecker's lemma; Kronecker's theorem; Kronecker–Capelli theorem; Kronecker–Weber theorem; Hermite–Kronecker–Brioschi characterization;
Awards	ForMemRS (1884)
	Scientific career
Fields	Mathematics; Logic;
Institutions	Berlin Academy; University of Berlin;
Doctoral advisor	Johann Encke; Peter Gustav Lejeune Dirichlet;
Doctoral students	Kurt Hensel; Adolf Kneser; Ernst Kötter; Mathias Lerch; Franz Mertens; Jules Molk; Paul Stäckel;

Leopold Kronecker (German: [ˈkʁoːnɛkɐ]; 7 December 1823 – 29 December 1891) was a German mathematician who worked on number theory, abstract algebra and logic, and criticized Georg Cantor's work on set theory. Heinrich Weber quoted Kronecker as having said, "Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk" ("God made the integers, all else is the work of man"). Kronecker was a student and life-long friend of Ernst Kummer.