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Daniel Kasprowski

Anniversary Research Fellow, University of Southampton

Preprints

  1. 4-manifolds with a given boundary (with Anthony Conway)
    arXiv:2510.18836
  2. The first relative k-invariant (with Anthony Conway)
    arXiv:2510.18796
  3. Stably exotic 4-manifolds (with Mark Powell)
    arXiv:2508.10499
  4. Homotopy classification of 4-manifolds with 3-manifold fundamental group (with Jonathan Hillman, Mark Powell and Arunima Ray)
    arXiv:2508.07504
  5. Immersions of punctured 4-manifolds (with Michael Freedman, Matthias Kreck and Peter Teichner, with an appendix by Alan W. Reid)
    arXiv:2208.03064, to appear in Transactions AMS

Published articles

  1. On the Farrell-Jones conjecture for localising invariants (with Ulrich Bunke and Christoph Winges)
    Adv. Math. 489 (2026), Article ID 110788, 137 p.
  2. Stable equivalence relations on 4-manifolds (with John Nicholson and Simona Veselá)
    Proc. Lond. Math. Soc. 131 (2025), no. 5, Article ID e70101, 37 p.
  3. Controlled objects in left-exact ∞-categories and the Novikov conjecture (with Ulrich Bunke, Denis-Charles Cisinski and Christoph Winges)
    Bull. Soc. Math. Fr. 153 (2025), no. 2, 295-458
  4. Algebraic criteria for stable diffeomorphism of spin 4-manifolds (with Mark Powell and Peter Teichner)
    Mem. Amer. Math. Soc. 312 (2025), no. 1579, v+98pp.
  5. The Kervaire-Milnor invariant in the stable classification of spin 4-manifolds (with Mark Powell and Peter Teichner)
    Tunis. J. Math. 7 (2025), no. 2, 417-436
  6. Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups (with Mark Powell and Benjamin Ruppik)
    Math. Proc. Camb. Phil. Soc. 177 (2024), no. 2, 263-283
  7. Embedding surfaces in 4-manifolds (with Mark Powell, Arunima Ray and Peter Teichner)
    Geom. Topol. 28 (2024), no. 5, 2399-2482
  8. Gluck twists on concordant or homotopic spheres (with Mark Powell and Arunima Ray)
    Math. Res. Lett. 30 (2023), no. 6, 1787-1811
  9. Counterexamples in 4-manifold topology (with Mark Powell and Arunima Ray)
    EMS Surv. Math. Sci. 9 (2022), no. 1, 193-249
  10. 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
  11. Topological 4-manifolds with 4-dimensional fundamental group (with Markus Land)
    Glasgow Math. J. 64 (2022), no. 2, 454-461
  12. Coarse embeddings into products of trees
    Kyoto J. Math. 62 (2022), no. 1, 225-229
  13. 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
  14. K- and L-theory of graph products of groups (with Kevin Li and Wolfgang Lück)
    Groups Geom. Dyn. 15 (2021), no. 1, 269-311
  15. CP²-stable classification of 4-manifolds with finite fundamental group (with Peter Teichner)
    Pacific J. Math. 310 (2021), no. 2, 355-373
  16. Split injectivity of A-theoretic assembly maps (with Ulrich Bunke and Christoph Winges)
    Int. Math. Res. Not. 2021 (2021), no. 2, 885-947
  17. 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
  18. 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
  19. Injectivity results for coarse homology theories (with Ulrich Bunke, Alexander Engel and Christoph Winges)
    Proc. London Math. Soc. 121 (2020), no. 6, 1619-1684
  20. Transfers in coarse homology (with Ulrich Bunke, Alexander Engel and Christoph Winges)
    Münster J. Math. 13 (2020), 353-424
  21. Homotopy theory with marked additive categories (with Ulrich Bunke, Alexander Engel and Christoph Winges)
    Theory Appl. Categ. 35 (2020), no. 13, 371-416
  22. 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
  23. Shortening binary complexes and commutativity of K-theory with infinite products (with Christoph Winges)
    Trans. Amer. Math. Soc. Ser. B 7 (2020), 1-23
  24. K₁-groups via binary complexes of fixed length (with Bernhard Köck and Christoph Winges)
    Homology Homotopy Appl. 22 (2020), no. 1, 203-213
  25. Coarse homology theories and finite decomposition complexity (with Ulrich Bunke, Alexander Engel and Christoph Winges)
    Algebr. Geom. Topol. 19 (2019), no. 6, 3033-3074
  26. Regular Finite Decomposition Complexity (with Andrew Nicas and David Rosenthal)
    J. Topol. Anal. 11 (2019), no. 3, 691-719
  27. Algebraic K-theory of stable ∞-categories via binary complexes (with Christoph Winges)
    Journal of Topology 12 (2019), no. 2, 442-462
  28. 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
  29. Long and thin covers for cocompact flow spaces (with Henrik Rüping)
    Groups Geom. Dyn. 11 (2017), no. 4, 1201-1229
  30. 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
  31. The asymptotic dimension of quotients by finite groups
    Proc. Amer. Math. Soc. 145 (2017), 2383-2389
  32. The Farrell-Jones conjecture for hyperbolic and CAT(0)-groups revisited (with Henrik Rüping)
    J. Topol. Anal. 09 (2017), no. 4, 551-569
  33. On the K-theory of subgroups of linear groups
    Annals of K-Theory 1 (2016), no. 4, 441-456
  34. On the K-theory of subgroups of virtually connected Lie groups
    Algebr. Geom. Topol. 15 (2015), no. 6, 3467-3483
  35. On the K-theory of groups with Finite Decomposition Complexity
    Proc. London Math. Soc. 110 (2015), no. 3, 565-592
  36. 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 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)

Theses: