John Jardine

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John Frederick Jardine (* 1951 ) is a Canadian mathematician who studies algebraic topology ( homotopy theory ), algebraic geometry and category theory.

Jardine received his PhD in 1981 from the University of British Columbia with Roy Rene Douglas ( Algebraic homotopy theory, groups and K-theory ). He was a post-doctoral student at the University of Toronto and a Dickson Instructor at the University of Chicago from 1982 to 1984 . From 1984 he was Assistant Professor, 1987 Associate Professor and from 1990 Professor at the University of Western Ontario . From 1998 to 2003 he was the head of the mathematics faculty. Since 2002 he has held the Canada Research Chair in Applied Homotopy Theory there.

In the 1980s, around the same time and independently of the Canadian André Joyal, he developed new homotopy theories for algebraic geometry, which were the starting point for a whole series of further developments and were used in other areas of mathematics through Jardine and other areas (dynamic systems, computer science). With Gunnar Carlsson he founded a series of conferences on the application of methods of algebraic topology in computer science and organized a program at the MSRI and the Fields Institute in 2006 .

With Dan Grayson he is co-founder of the Algebraic K-Theory Preprint Archive

In 1991/92 he was visiting professor at the University of British Columbia. In 1992 he received the Coxeter James Prize .

From 1987 to 1989 he was a Sloan Research Fellow . In 2008 he became a Fellow of the Fields Institute for Life.

Fonts

  • with Paul Goerss Simplicial Homotopy Theory , Progress in Mathematics 174, Birkhäuser 1999, 2nd edition 2009
  • Generalized Etale Cohomology Theories , Progress in Mathematics 146, Birkhäuser 197
  • with Victor Snaith (editor) Algebraic K-theory: Connections with Geometry and Topology , NATO ASI Series C, Volume 279, Kluwer Academic Publishers, Dordrecht 1989
  • with PG Goerss (editor) Algebraic K-theory and Algebraic Topology , NATO ASI Series C, Volume 407, Kluwer Academic Publishers, Dordrecht 1993
  • as editor Applications of K-theory and Cohomology , Homology, Homotopy and Applications, Volume 7, 2005, Issue 3
  • Homotopy and homotopical algebra , in M. Hazewinkel (editor) Handbook of Algebra , North-Holland, Amsterdam, Volume 1, 1996, pp. 339-370.

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project , title from its homepage
  2. ^ Algebraic K-Theory Preprint Archive