Research, Georg Biedermann

My area of research is algebraic topology. My special interests lie in Goodwillie's calculus of homotopy functors and moduli and realization problems associated to unstable coalgebras and singular homology with coefficients in a prime field.

Here is a publication list with short comments on each paper.

Here is my research statement.

Publications and Preprints

Published:
  1. Truncated resolution model structures

    Biedermann

    Journal of Pure and Applied Algebra, Volume 208, Issue 2, Feb 2007, 591-601

  2. Interpolation categories for homology theories

    Biedermann

    Journal of Pure and Applied Algebra, Volume 208, Issue 2, Feb 2007, 497-530

  3. Calculus of functors and model categories

    Biedermann, Boris Chorny and Oliver Röndigs

    Advances in Mathematics 214 (2007), 92-115

  4. On the homotopy theory of n-types

    Biedermann

    Homology, Homotopy and its Applications, Vol. 10(2008), No. 1, 305-325

  5. Homotopy nilpotent groups

    Biedermann, William G. Dwyer

    Algebraic & Geometric Topology, 10-1 (2010), 33-63

  6. Calculus of Functors and Model Categories II

    Biedermann, Oliver Röndigs

    Algebraic & Geometric Topology 14-5 (2014), 2853--2913.

  7. Small functors and duality

    Biedermann, Boris Chorny

    Algebraic & Geometric Topology 15-5 (2015), 2607--2655.

  8. Realizing unstable coalgebras,

    Biedermann, Georgios Raptis, Manfred Stelzer

    Astérisque 393 (2017), viii+148 pp, Soc. Math. France

Submitted:
  1. A generalized Blakers-Massey Theorem

    Mathieu Anel, Biedermann, Eric Finster, André Joyal

  2. Goodwillie's Calculus of Functors and Higher Topos Theory

    Mathieu Anel, Biedermann, Eric Finster, André Joyal

In preparation:
  1. Homotopy nilpotent groups and their associated functors

    Biedermann

  2. A new construction of the unstable Adams spectral sequence

    Biedermann, Georgios Raptis, Manfred Stelzer

Some slides of talks

  1. on model structures for Goodwillie calculus from the Eilenberg Centenary Conference in Warsaw 2013
  2. on the moduli spaces for realizing unstable coalgebras from the 2014 reunion of the GDR 2875 in Clermont-Ferrand
  3. on the generalized Blakers-Massey Theorem from the 2016 reunion of the GDR 2875 in Amiens

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