Mathematisches Institut der Universität Bonn

Preprints

34. Immersions of punctured 4-manifolds (with Michael Freedman, Matthias Kreck and Peter Teichner, with an appendix by Alan W. Reid)
    arXiv:2208.03064
35. Gluck twists on concordant or homotopic spheres (with Mark Powell and Arunima Ray)
    arXiv:2206.14113, to appear in Math. Res. Lett.
36. Embedding surfaces in 4-manifolds (with Mark Powell, Arunima Ray and Peter Teichner)
    arXiv:2201.03961, to appear in Geometry & Topology
37. On the Farrell-Jones conjecture for localising invariants (with Ulrich Bunke and Christoph Winges)
    arXiv:2111.02490
38. The Kervaire-Milnor invariant in the stable classification of spin 4-manifolds (with Mark Powell and Peter Teichner)
    arXiv:2105.12153
39. Algebraic criteria for stable diffeomorphism of spin 4-manifolds (with Mark Powell and Peter Teichner)
    arXiv:2006.06127, to appear in Memoirs of the AMS
40. Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups (with Mark Powell and Benjamin Ruppik)
    arXiv:2005.00274
41. Controlled objects in left-exact ∞-categories and the Novikov conjecture (with Ulrich Bunke, Denis-Charles Cisinski and Christoph Winges)
    arXiv:1911.02338

Published articles

1. Counterexamples in 4-manifold topology (with Mark Powell and Arunima Ray)
   EMS Surv. Math. Sci. 9 (2022), no. 1, 193-249
2. Homotopy classification of 4-manifolds whose fundamental group is dihedral (with Johnny Nicholson and Benjamin Ruppik)
   Algebr. Geom. Topol. 22 (2022), no. 6, 2915-2949
3. Topological 4-manifolds with 4-dimensional fundamental group (with Markus Land)
   Glasgow Math. J. 64 (2022), no. 2, 454-461
4. Coarse embeddings into products of trees
   Kyoto J. Math. 62 (2022), no. 1, 225-229
5. Four-manifolds up to connected sum with complex projective planes (with Mark Powell and Peter Teichner)
   Am. J. Math. 144 (2022), no. 1, 75-118
6. K- and L-theory of graph products of groups (with Kevin Li and Wolfgang Lück)
   Groups Geom. Dyn. 15 (2021), no. 1, 269-311
7. CP²-stable classification of 4-manifolds with finite fundamental group (with Peter Teichner)
   Pacific J. Math. 310 (2021), no. 2, 355-373
8. Split injectivity of A-theoretic assembly maps (with Ulrich Bunke and Christoph Winges)
   Int. Math. Res. Not. 2021 (2021), no. 2, 885-947
9. Injectivity results for coarse homology theories (with Ulrich Bunke, Alexander Engel and Christoph Winges)
   Proc. London Math. Soc. 121 (2020), no. 6, 1619-1684
10. Transfers in coarse homology (with Ulrich Bunke, Alexander Engel and Christoph Winges)
    Münster J. Math. 13 (2020), 353-424
11. Homotopy theory with marked additive categories (with Ulrich Bunke, Alexander Engel and Christoph Winges)
    Theory Appl. Categ. 35 (2020), no. 13, 371-416
12. Equivariant coarse homotopy theory and coarse algebraic K-homology (with Ulrich Bunke, Alexander Engel and Christoph Winges)
    K-theory in Algebra, Analysis and Topology, Contemp. Math. 749 (2020), 13-104
13. Shortening binary complexes and commutativity of K-theory with infinite products (with Christoph Winges)
    Trans. Amer. Math. Soc. Ser. B 7 (2020), 1-23
14. K₁-groups via binary complexes of fixed length (with Bernhard Köck and Christoph Winges)
    Homology Homotopy Appl. 22 (2020), no. 1, 203-213
15. Coarse homology theories and finite decomposition complexity (with Ulrich Bunke, Alexander Engel and Christoph Winges)
    Algebr. Geom. Topol. 19 (2019), no. 6, 3033-3074
16. Regular Finite Decomposition Complexity (with Andrew Nicas and David Rosenthal)
    J. Topol. Anal. 11 (2019), no. 3, 691-719
17. Algebraic K-theory of stable ∞-categories via binary complexes (with Christoph Winges)
    Journal of Topology 12 (2019), no. 2, 442-462
18. 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
19. Long and thin covers for cocompact flow spaces (with Henrik Rüping)
    Groups Geom. Dyn. 11 (2017), no. 4, 1201-1229
20. 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
21. The asymptotic dimension of quotients by finite groups
    Proc. Amer. Math. Soc. 145 (2017), 2383-2389
22. The Farrell-Jones conjecture for hyperbolic and CAT(0)-groups revisited (with Henrik Rüping)
    J. Topol. Anal. 09 (2017), no. 4, 551-569
23. On the K-theory of subgroups of linear groups
    Annals of K-Theory 1 (2016), no. 4, 441-456
24. On the K-theory of subgroups of virtually connected Lie groups
    Algebr. Geom. Topol. 15 (2015), no. 6, 3467-3483
25. On the K-theory of groups with Finite Decomposition Complexity
    Proc. London Math. Soc. 110 (2015), no. 3, 565-592
26. Shrinking of toroidal decomposition spaces (with Mark Powell)
    Fundam. Math. 227, No. 3, 271-296 (2014)

Further publications

• I am a co-author of the chapters
  • Mixed Bing-Whitehead decompositions (with Min Hoon Kim)
  • The collar adding lemma (with Mark Powell)
  • Skyscrapers are standard: the details (with Stefan Behrens, Mark Powell and Arunima Ray)
  of the book The Disc Embedding Theorem edited by Stefan Behrens, Boldizsár Kalmár, Min Hoon Kim, Mark Powell and Arunima Ray, Oxford University Press (2021)
• Connected sum decompositions of high-dimensional manifolds (with Imre Bokor, Diarmuid Crowley, Stefan Friedl, Fabian Hebestreit, Markus Land and Johnny Nicholson)
  2019-20 MATRIX Annals, MATRIX Book Ser. 4 (2021), 5-30
• Topologically flat embedded 2-spheres in specific simply connected 4-manifolds (with Peter Lambert-Cole, Markus Land and Ana G. Lecuona)
  2019-20 MATRIX Annals, MATRIX Book Ser. 4 (2021), 111-116

Theses:

• On the injectivity of assembly maps
  habilitation thesis, Universität Bonn (2019)
• On the K-theory of groups with Finite Decomposition Complexity
  doctoral thesis, Universität Münster (2014)