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Preprints
- Immersions of punctured 4-manifolds (with Michael Freedman, Matthias Kreck and Peter Teichner, with an appendix by Alan W. Reid)
arXiv:2208.03064 - Gluck twists on concordant or homotopic spheres (with Mark Powell and Arunima Ray)
arXiv:2206.14113, to appear in Math. Res. Lett. - Embedding surfaces in 4-manifolds (with Mark Powell, Arunima Ray and Peter Teichner)
arXiv:2201.03961, to appear in Geometry & Topology - On the Farrell-Jones conjecture for localising invariants (with Ulrich Bunke and Christoph Winges)
arXiv:2111.02490 - The Kervaire-Milnor invariant in the stable classification of spin 4-manifolds (with Mark Powell and Peter Teichner)
arXiv:2105.12153 - 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 - Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups (with Mark Powell and Benjamin Ruppik)
arXiv:2005.00274 - Controlled objects in left-exact ∞-categories and the Novikov conjecture (with Ulrich Bunke, Denis-Charles Cisinski and Christoph Winges)
arXiv:1911.02338
Published articles
- Counterexamples in 4-manifold topology (with Mark Powell and Arunima Ray)
EMS Surv. Math. Sci. 9 (2022), no. 1, 193-249 - 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 - Topological 4-manifolds with 4-dimensional fundamental group (with Markus Land)
Glasgow Math. J. 64 (2022), no. 2, 454-461 - Coarse embeddings into products of trees
Kyoto J. Math. 62 (2022), no. 1, 225-229 - 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 - K- and L-theory of graph products of groups (with Kevin Li and Wolfgang Lück)
Groups Geom. Dyn. 15 (2021), no. 1, 269-311 - CP²-stable classification of 4-manifolds with finite fundamental group (with Peter Teichner)
Pacific J. Math. 310 (2021), no. 2, 355-373 - Split injectivity of A-theoretic assembly maps (with Ulrich Bunke and Christoph Winges)
Int. Math. Res. Not. 2021 (2021), no. 2, 885-947 - Injectivity results for coarse homology theories (with Ulrich Bunke, Alexander Engel and Christoph Winges)
Proc. London Math. Soc. 121 (2020), no. 6, 1619-1684 - Transfers in coarse homology (with Ulrich Bunke, Alexander Engel and Christoph Winges)
Münster J. Math. 13 (2020), 353-424 - Homotopy theory with marked additive categories (with Ulrich Bunke, Alexander Engel and Christoph Winges)
Theory Appl. Categ. 35 (2020), no. 13, 371-416 - 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 - Shortening binary complexes and commutativity of K-theory with infinite products (with Christoph Winges)
Trans. Amer. Math. Soc. Ser. B 7 (2020), 1-23 - K₁-groups via binary complexes of fixed length (with Bernhard Köck and Christoph Winges)
Homology Homotopy Appl. 22 (2020), no. 1, 203-213 - Coarse homology theories and finite decomposition complexity (with Ulrich Bunke, Alexander Engel and Christoph Winges)
Algebr. Geom. Topol. 19 (2019), no. 6, 3033-3074 - Regular Finite Decomposition Complexity (with Andrew Nicas and David Rosenthal)
J. Topol. Anal. 11 (2019), no. 3, 691-719 - 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. 110 (2015), no. 3, 565-592 - 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)
- 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)
News
Bonn mathematics performs excellently again in QS ranking
Stefan Schwede is invited speaker at the ECM 2024 in Sevilla
Jessica Fintzen wins Cole Prize
Regula Krapf receives university teaching award
Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts
Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019
Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Grants for Mathematics students from Ukraine
Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Peter Scholze elected as Foreign Member of the Royal Society