Emil Artin (mathematician)

Emil Artin (mathematician)
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Name	Emil Artin
Birth date	March 3, 1898
Birth place	Vienna, Austria-Hungary
Death date	December 20, 1962
Death place	Hamburg, West Germany
Nationality	Austrian-American
Fields	Mathematics
Alma mater	University of Vienna, University of Göttingen
Doctoral advisor	Gustav Herglotz

Emil Artin (mathematician) Emil Artin was an influential 20th-century mathematician known for foundational work in algebra, number theory, and class field theory. His career connected major centers such as the University of Göttingen, University of Vienna, University of Hamburg, Institute for Advanced Study, Princeton University, and Yale University. Artin's students and collaborators included figures associated with Harvard University, Columbia University, Massachusetts Institute of Technology, and leading European institutions.

Early life and education

Artin was born in Vienna into a family with roots in Graz and completed secondary studies influenced by teachers linked to University of Vienna traditions. He studied under mathematicians at University of Vienna and later pursued doctoral research at University of Göttingen with advisor Gustav Herglotz, interacting with contemporaries affiliated with Felix Klein's school, Emmy Noether, David Hilbert, and the milieu around Richard Dedekind. During this period he attended seminars and lectures connected to scholars from Princeton University visiting Göttingen and exchanged ideas prevalent in circles around Leopold Kronecker and Hermann Weyl.

Academic career and positions

Artin held professorships and research positions that linked him to many institutions: early appointments involved the University of Hamburg where he engaged with faculty associated with Heinrich Weber and Ernst Zermelo. In the 1930s he moved between posts influenced by political events affecting academics at University of Göttingen and University of Hamburg, later emigrating to the United States where he took positions at Princeton University's Institute for Advanced Study, Yale University, and interacted with scholars from Harvard University and Columbia University. After World War II he returned to Europe and was associated again with University of Hamburg and collaborated with mathematicians connected to ETH Zurich, University of Bonn, and University of Munich. His mentorship produced students who later worked at University of Chicago, University of California, Berkeley, Massachusetts Institute of Technology, and elsewhere, forming networks with institutes such as the National Academy of Sciences, American Mathematical Society, and Deutsche Forschungsgemeinschaft-affiliated groups.

Mathematical contributions

Artin's research reshaped areas including class field theory, group theory, ring theory, and algebraic number theory. He formulated the Artin reciprocity law which generalized reciprocity laws studied by Carl Friedrich Gauss and Ernst Kummer, influencing work by Hildebrand, Hecke, John Tate, and contributors at Institute for Advanced Study. His development of noncommutative ring theory concepts informed later results by Richard Brauer, Emmy Noether, and researchers at University of Göttingen and ETH Zurich. Artin introduced notions now central to field theory and Galois theory, impacting studies by Évariste Galois-line scholars and connecting to problems addressed by André Weil, Alexander Grothendieck, Claude Chevalley, and Jean-Pierre Serre. In topology-influenced algebra he influenced work at Princeton University and Harvard University through concepts adopted by Saunders Mac Lane and Samuel Eilenberg. Artin's formulation of Artin L-functions and his studies of zeta functions linked to progress by Bernhard Riemann, Erich Hecke, Atle Selberg, and later researchers in analytic number theory at Institute for Advanced Study. His pedagogical writings, including textbooks that circulated at Yale University, Princeton University, and University of Chicago, shaped curricula alongside texts from Van der Waerden, Bartel Leendert van der Waerden, and Niels Henrik Abel-line expositions. Collaborations and intellectual exchange involved figures connected to Max Planck Society, Royal Society, Mathematical Association of America, and major conferences at International Congress of Mathematicians.

Selected publications

Artin authored influential monographs and articles that were disseminated through journals and publishers associated with Springer-Verlag, American Mathematical Society, and University of Chicago Press. Notable works include writings on reciprocity linked to publications appearing in venues frequented by contributors such as Heinrich Weber, Gustav Herglotz, Hermann Minkowski, Pierre Deligne, and contemporaries from Princeton University seminars. His collected papers and lecture notes circulated among departments at Yale University, Princeton University, University of Hamburg, and libraries of the Institute for Advanced Study.

Awards and honors

Artin received recognition through memberships and honors connected to institutions like the National Academy of Sciences, American Academy of Arts and Sciences, Deutsche Akademie der Naturforscher Leopoldina, and invitations to speak at the International Congress of Mathematicians. He held visiting appointments and received accolades from bodies including the Max Planck Society and universities such as Yale University, Princeton University, and University of Hamburg for contributions aligned with the legacies of Gauss, Hilbert, and Noether.

Category:Mathematicians