Christoph Winges

Rheinische Friedrich-Wilhelms-Universität Bonn
Mathematisches Institut
Endenicher Allee 60
53115 Bonn
Germany

eMail: winges at math dot uni-bonn dot de
Phone: +49 228 73-3351

Office: 4.014

Publications

  1. K₁-groups via binary complexes of fixed length. Homology Homotopy Appl. 22 (2020), no. 1, 203-213
     (with D. Kasprowski and B. Köck)
  2. Split injectivity of A-theoretic assembly maps. Int. Math. Res. Not. IMRN
     (with U. Bunke and D. Kasprowski)
  3. Coarse homology theories and finite decomposition complexity. Algebr. Geom. Topol. 19 (2019), no. 6, 3033-3074
     (with U. Bunke, A. Engel and D. Kasprowski)
  4. On the Farrell-Jones Conjecture for algebraic K-theory of spaces: the Farrell-Hsiang method. Ann. K-Theory 4 (2019), no. 1, 57-138
     (with M. Ullmann)
  5. Algebraic K-theory of stable ∞-categories via binary complexes. J. Topol. 12 (2019), no. 2, 442-462
     (with D. Kasprowski)
  6. On the Farrell-Jones Conjecture for Waldhausen's A-theory. Geom. Topol. 22 (2018), no. 6, 3321-3394
     (with N. Enkelmann, W. Lück, M. Pieper and M. Ullmann)
  7. The A-theoretic Farrell-Jones Conjecture for virtually solvable groups. Bull. Lond. Math. Soc. 50 (2018), no. 2, 219-228
     (with D. Kasprowski, M. Ullmann and C. Wegner)
  8. On the transfer reducibility of certain Farrell-Hsiang groups. Algebr. Geom. Topol. 15 (2015), no. 5, 2919-2946
  9. A note on the L-theory of infinite product categories. Forum Math. 25 (2013), no. 4, 665-676

Preprints

  1. Controlled objects in left-exact ∞-categories and the Novikov conjecture. arXiv:1911.02338
     (with U. Bunke, D.-C. Cisinski and D. Kasprowski)
  2. Homotopy theory with marked additive categories. arXiv:1811.04007
     (with U. Bunke, A. Engel and D. Kasprowski)
  3. Injectivity results for coarse homology theories. arXiv:1809.11079
     (with U. Bunke, A. Engel and D. Kasprowski)
  4. Transfers in coarse homology. To appear in Münster J. Math., arXiv:1809.08300
     (with U. Bunke, A. Engel and D. Kasprowski)
  5. Equivariant coarse homotopy theory and coarse algebraic K-homology. arXiv:1710.04935
     (with U. Bunke, A. Engel and D. Kasprowski)
  6. Shortening binary complexes and commutativity of K-theory with infinite products. To appear in Trans. Amer. Math. Soc., arXiv:1705.09116
     (with D. Kasprowski)

Theses

  • L-Theory of Additive Categories. Diplomarbeit, 2010.
  • Filtering the Assembly Map in Algebraic K-Theory and Transfer Reducibility of ℤⁿ ⋊ ℤ. PhD thesis, 2014.

Teaching

Next term (summer 2020), I will be teaching Algebraic Topology II.

During the winter term 2019/20, I am giving an introduction to higher categories together with Fabian Hebestreit.

Previous teaching:

Last modified 2020-01-20