Research, Georg Biedermann

Research, Georg Biedermann

My area of research is algebraic topology and mainly categorical foundations of homotopy theory. This involves model categories and simplicial techniques, but also some higher category theory.

Publications and Preprints

Published:

Truncated resolution model structures, first part of my thesis, 12 pages, Journal of Pure and Applied Algebra, Volume 208, Issue 2, Feb 2007, 591-601
Interpolation categories for homology theories, second part of my thesis, 41 pages, Journal of Pure and Applied Algebra, Volume 208, Issue 2, Feb 2007, 497-530
Calculus of functors and model categories, joint with Boris Chorny and Oliver Röndigs, 22 pages, Advances in Mathematics 214 (2007), 92-115

Submitted:

On the homotopy theory of n-types, 19 pages
L-linear functors, 39 pages

In preparation:

Homotopy n-nilpotent groups, joint with Bill Dwyer
Calculus of functors and model categories II, joint with Boris Chorny and Oliver Röndigs
Metastable homotopy theory, joint with Gerald Gaudens

Theses:

Injective completion with respect to homology, English version of my Diplom thesis
Here is the older version of my doctoral thesis.

Other things:

These are the slides from my talk on interpolation categories at the Canberra leg of the 2005 Streetfest: dvi or pdf

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