Rainer Vogt

Rainer M. Vogt (born July 23, 1942 in Stuttgart ; † August 12, 2015 ) was a German mathematician who dealt with topology ( homotopy theory ).

Vogt studied mathematics and physics at the Johann Wolfgang Goethe University in Frankfurt am Main , where he studied with Wolfgang Franz , among others . The mathematician Elmar Vogt was his brother. On the recommendation of Heiner Zieschang , he went to the University of Warwick in 1965 , where he became a doctoral student with Michael Boardman . He received his PhD in Warwick in 1968 with Boardman after rewriting his dissertation ( Categories of operators and H-spaces ) at the University of Chicago . In his dissertation he laid the foundations for what later became the theory of operads , in which publications by Vogt and Boardman are among the pioneering work. As a post-doctoral student he was at the University of Aarhus , the University of Heidelberg and the University of Saarbrücken , where he completed his habilitation in 1973. In 1974 he became professor for topology and differential topology at the newly founded University of Osnabrück . In 2010 he retired, but also taught in the winter semesters afterwards. In 2013 he got cancer.

Among other things, he was visiting scholar at Zbigniew Fiedorowicz at Ohio State University . In Germany he worked with Friedhelm Waldhausen , among others .

In his 1973 book with Boardman, he introduced weak Kan complexes, later made known as quasi-categories by Andrè Joyal . They also introduced homotopy-coherent maps and diagrams. In his lectures in Aarhus in 1969, he also presented Michael Boardman's stable homotopy category, which he had not yet published on.

Fonts

• with Boardman: Homotopy invariant algebraic structures on topological spaces, Lecture Notes in Math 347, Springer 1973
• Homotopy limits and colimits, Mathematische Zeitschrift, Volume 134, 1973, pp. 11-52,
• My time as Mike Boardman's student and our work on infinite loop spaces, in: Jean-Pierre Meyer, Jack Morawa, W. Stephen Wilson (Eds.): Homotopy invariant algebraic structures: a conference in honor of J. Michael Boardman, Contemporary Mathematics 239, American Mathematical Society, 1999, pp. 29-38

Web links

• Obituary at the University of Osnabrück
• Vogt at ncatlab (with memories from Vogt during his time as a student at Boardman)

Individual evidence

1. ↑ Date of birth according to Kürschner, Deutscher Schehrtenkalender, 2009
2. ↑ Rainer Vogt in the Mathematics Genealogy Project (English)
3. ↑ A Russian translation was published in 1977