Daniel Kasprowski

I am a postdoc in the Topology group at the University of Bonn. Previously, I was a postdoc at the Max Planck Insitute for Mathematics in Bonn for two years. My research interests are algebraic K- and L-theory and the Farrell-Jones conjecture and, furthermore, 4-manifold topology. I received my doctoral degree in May 2014 at the University of Münster under supervision of Arthur Bartels.

Teaching

WS 19/20:	Seminar: Characteristic classes
	Assistant for the lecture course: Algebraic Topology I
SS 19:	Lecture course: Topology II
WS 18/19:	S2D3 – Hauptseminar Differentialtopologie (with Wolfgang Lück)
	Lecture course: Geometric Group Theory
	Assistant for the lecture course: Topologie I
SS 18:	S1G1-Seminar: Darstellungstheorie endlicher Gruppen (with Christian Wimmer)
	Assistant for the lecture course: Einführung in die Geometrie und Topologie
WS 17/18:	Seminar: Knot theory (with Christoph Winges)
SS 17:	Assistant for the lecture course: Einführung in die Geometrie und Topologie
	Seminar: Lie groups (with Viktoriya Ozornova)
WS 16/17:	Assistant for the lecture course: Algebraic Topology I
	Seminar: The Farrell-Jones conjecture (with Mark Ullmann, Christoph Winges and Jianchao Wu)
SS 16:	Geometric Topology Seminar (with Wolfgang Lück and Peter Teichner)

Articles

• Split injectivity of A-theoretic assembly maps (with Ulrich Bunke and Christoph Winges)
  arXiv:1811.11864: pdf, to appear in IMRN
• K_1-groups via binary complexes of fixed length (with Bernhard Köck and Christoph Winges)
  arXiv:1811.10954: pdf, to appear in HHA
• Shortening binary complexes and commutativity of K-theory with infinite products (with Christoph Winges)
  arXiv:1705.09116: pdf, to appear in Trans. Amer. Math. Soc.
• Coarse homology theories and finite decomposition complexity (with Ulrich Bunke, Alexander Engel and Christoph Winges)
  arXiv:1712.06932: pdf, to appear in Algebraic & Geometric Topology
• Regular Finite Decomposition Complexity (with Andrew Nicas and David Rosenthal)
  Journal of Topology and Analysis, online ready, DOI: 10.1142/S1793525319500286
• Algebraic K-theory of stable ∞-categories via binary complexes (with Christoph Winges)
  Journal of Topology 12 (2019), no. 2, 442-462
• The A-theoretic Farrell-Jones Conjecture for virtually solvable groups (with Mark Ullmann, Christian Wegner and Christoph Winges)
  Bull. London Math. Soc. 50 (2018), no. 2, 219-228
• Long and thin covers for cocompact flow spaces (with Henrik Rüping)
  Groups Geom. Dyn. 11 (2017), no. 4, 1201-1229
• Stable classification of 4-manifolds with 3-manifold fundamental groups (with Markus Land, Mark Powell and Peter Teichner)
  Journal of Topology 10 (2017), no. 3, 827-881
• The asymptotic dimension of quotients by finite groups
  Proc. Amer. Math. Soc. 145 (2017), 2383-2389
• The Farrell-Jones conjecture for hyperbolic and CAT(0)-groups revisited (with Henrik Rüping)
  J. Topol. Anal. 09 (2017), no. 4, 551-569
• On the K-theory of subgroups of linear groups
  Annals of K-Theory 1 (2016), no. 4, 441-456
• On the K-theory of subgroups of virtually connected Lie groups
  Algebr. Geom. Topol. 15 (2015), no. 6, 3467-3483
• On the K-theory of groups with Finite Decomposition Complexity
  Proc. London Math. Soc. 120 (2015), no. 3, 565-592
• Shrinking of toroidal decomposition spaces (with Mark Powell)
  Fundam. Math. 227, No. 3, 271-296 (2014)

Preprints

• CP^2-stable classification of 4-manifolds with finite fundamental group (with Peter Teichner)
  arXiv:1907.11920: pdf
• K- and L-theory of graph products of groups (with Kevin Li and Wolfgang Lück)
  arXiv:1906.01951: pdf
• Homotopy theory with marked additive categories (with Ulrich Bunke, Alexander Engel and Christoph Winges)
  arXiv:1811.04007: pdf
• Coarse embeddings into products of trees
  arXiv:1810.13361: pdf
• Injectivity results for coarse homology theories (with Ulrich Bunke, Alexander Engel and Christoph Winges)
  arXiv:1809.11079: pdf
• Transfers in coarse homology (with Ulrich Bunke, Alexander Engel and Christoph Winges)
  arXiv:1809.08300: pdf
• Four-manifolds up to connected sum with complex projective planes (with Mark Powell and Peter Teichner)
  arXiv:1802.09811: pdf
• Equivariant coarse homotopy theory and coarse algebraic K-homology (with Ulrich Bunke, Alexander Engel and Christoph Winges)
  arXiv:1710.04935: pdf

Theses:

• On the K-theory of groups with Finite Decomposition Complexity
  doctoral thesis, Universität Münster (2014)
• Kontrollierte L-Theorie
  diploma thesis, Universität Münster (2010)

[de] [en]