You will find all my papers and preprints on the arXiv.

Papers submitted

48. Differential embeddings into algebras of topological stable rank 1, with N. Maślany.
arXiv:2301.02320

Papers accepted for publication

47. Continuity of coordinate functionals of filter bases in Banach spaces, with N. de Rancourt and J. Swaczyna, accepted for publication in Journal of Functional Analysis.
arXiv:2203.15123

46. The existence of UFO implies projectively universal morphisms, with M. Balcerzak, accepted for publication in Proceedings of the American Mathematical Society.
arXiv:2208.03579

45. Quantifying properties (K) and (μs), with D. Chen and Y. Ruan, accepted for publication in Mathematische Nachrichten
arXiv:2102.00857

Papers published (click on the title for the journal version)
44. A forgotten theorem of Pełczyński: (λ+)-injective spaces need not be λ-injective—the case λ∈(1,2], with G. Lewicki, Studia Mathematica 268 (3) (2023), 311–317.
arXiv:2201.07837 [version Online-First]

43. Quantifying shrinking and boundedly complete bases, with D. Chen and Y. Ruan.
Illinois Journal of Mathematics 66, No. 4 (2022), 627–645.
arXiv:2104.06497

42. (1+)-complemented, (1+)-isomorphic copies of L1 in dual Banach spaces, with D. Chen and Y. Ruan, Archiv der Mathematik 119 (2022), 495–505.
arXiv:2108.03057

41. Factorisation in stopping-time Banach spaces: identifying unique maximal ideals, with R. Lechner, Advances in Mathematics 409 Part B (2022), 108643.
arXiv:2112.12534

40. On quantitative Gelfand-Phillips property and Phillips property, with D. Chen and Y. Ruan, Journal of Mathematical Analysis and Applications 516 (2022), 126532.
arXiv:2102.00857

39. Surjective homomorphisms from algebras of operators on long sequence spaces are automatically injective, with B. Horváth,
Quarterly Journal of Mathematics (Oxford) 72, Issue 4 (2021), 1167–1189.
arXiv:2007.14112

38. Grothendieck spaces: the landscape and perspectives, with M. González,
Japanese Journal of Mathematics 16 (2021), 1–67.
arXiv:2102.03838

37. Unital Banach algebras not isomorphic to Calkin algebras of separable Banach spaces, with B. Horváth,
Proceedings of the American Mathematical Society 149 (2021), 4781–4787.
arXiv:2101.09950

36. Invariant means on Abelian groups capture complementability of Banach spaces in their second duals, with A.P. Goucher,
Studia Mathematica 260 (2021), 91–101.
arXiv:2007.02792 [version Online-First]

35. Large cardinals and continuity of coordinate functionals of filter bases in Banach spaces, with J. Swaczyna,
Bulletin of the London Mathematical Society 53 (2021), 231–239.
arXiv:2005.04873

34. Approximate modularity: Kalton's constant is not smaller than 3, with M. Gnacik and M. Guzik,
Proceedings of the American Mathematical Society 149 (2021), 661–669.
arXiv:2003.01193

33. Separated sets and Auerbach systems in Banach spaces, with P. Hájek and T. Russo, Transactions of the American Mathematical Society 373 (2020), 6961–6998.
arXiv:1803.11501

32. The isomorphic Kottman constant of a Banach space, with J.M.F. Castillo,
M. González, and P.L. Papini,
Proceedings of the American Mathematical Society 148, Number 10 (2020), 4361–4375.
arXiv:1910.01626

31. Closed ideals of operators on the Tsirelson and Schreier spaces, with K. Beanland and N.J. Laustsen,
Journal of Functional Analysis 279 (2020), 28 pp.
arXiv:1907.10645

30. Inverse problems for symmetric doubly stochastic matrices whose Suleĭmanova spectra are bounded below by 1/2, with M. Gnacik,
Linear Algebra and its Applications 592 (2020), 175–187.
arXiv:1909.01291

29. Embedding Banach spaces into the space of bounded functions with countable support, with W.B. Johnson
Mathematische Nachrichten 292, 9 (2019), 2028–2031.
arXiv:1807.05239

28. Law equivalence of Ornstein–Uhlenbeck processes driven by a Lévy process,
with G. Bartosz,
Indagationes Mathematicae 30, 5 (2019), 796–804.
arXiv:1803.02655

27. The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces, with K. Beanland and N.J. Laustsen,
Houston Journal of Mathematics 45, No. 2 (2019), 553–566.
arXiv:1707.08399

26. A letter concerning Leonetti's paper ‘Continuous Projections onto Ideal Convergent Sequences’,
Results in Mathematics 74, 12 (2019), 4 pp.
arXiv:1810.09383

25. Symmetrically separated sequences in the unit sphere of a Banach space,
with P. Hájek and T. Russo,
Journal of Functional Analysis 275 (2018), 3148–3168.
arXiv:1711.05149

24. Recovering a compact Hausdorff space X from the compatibility ordering on C(X), with M. Rmoutil,
Fundamenta Mathematicae 242 (2018), 187–205.
arXiv:1610.07842

Erratum and addendum to `Recovering a compact Hausdorff space X from the compatibility ordering on C(X)', with Denny H. Leung and M. Rmoutil, accepted for publication in Fundamenta Mathematicae
arXiv:1610.07842 [version Online-First]

23. When is multiplication in a Banach algebra open?, with Sz. Draga,
Linear Algebra and its Applications 538 (2018), 149–165.
arXiv:1704.08608

22. Restricting uniformly open surjections, with M. Rmoutil,
Comptes Rendus Mathematique 355, Issue 9 (2017), 925–928.
arXiv:1707.02624

21. On bases that are closed under multiplication,
American Mathematical Monthly 124, No. 7 (2017), 651–653.
arXiv:1611.01488

20. Ideal structure of the algebra of bounded operators acting on a Banach space,
with N.J. Laustsen,
Indiana University Mathematics Journal 66 (2017), 1019–1043.
arXiv:1507.01213

19. The trace as an average over the unit sphere of a normed space with a 1-symmetric basis, with K.E. Morrison,
Operators and Matrices 10, Number 3 (2016), 731–737.
arXiv:1511.02084

18. Steinhaus’ lattice-point problem for Banach spaces, with T. Kochanek,
Journal of Mathematical Analysis and Applications 446 (2017), 1219–1229.
arXiv:1302.6443

17. A singular, admissible extension which splits algebraically, but not strongly, of the algebra of bounded operators on a Banach space, with N.J. Laustsen and R. Skillicorn,
Journal of Functional Analysis 271, Issue 10, (2016), 2888–2898.
arXiv:1603.04275

16. Vector-valued invariant means revisited once again,
Journal of Mathematical Analysis and Applications 445 (2017), no. 1, 797–802.
arXiv:1607.03387

15. Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support, with W.B. Johnson and G. Schechtman,
Proceedings of the American Mathematical Society 144 (2016), no. 10, 4471–4485.
arXiv:1502.03026

14. Uncountable sets of unit vectors that are separated by more than 1,
with T. Kochanek,
Studia Mathematica 232 (2016), 19–44.
arXiv:1503.08166

13. Uniqueness of the maximal ideal of operators on the ℓp-sum of ℓ∞n (n ∈ ℕ) for 1<p<∞, with N.J. Laustsen,
Mathematical Proceedings of the Cambridge Philosophical Society 160 (2016), 413–421.
arXiv:1405.5715

12. On C*-algebras which cannot be decomposed into tensor products with both factors infinite-dimensional,
Quarterly Journal of Mathematics (Oxford) 66 (2015), 1063–1068.
arXiv:1412.3621

11. A short proof of the fact that the matrix trace is the expectation of the numerical values,
American Mathematical Monthly 122 (2015), no. 8, 782–783.
arXiv:1402.4272

10. Chains of functions in C(K)-spaces, with R.J. Smith,
Journal of the Australian Mathematical Society 99 (2015), no. 3, 350–363.
arXiv:1310.4035

9. Operators on two Banach spaces of continuous functions on locally compact spaces of ordinals, with N.J. Laustsen,
Proceedings of the American Mathematical Society 143 (2015), no. 6, 2585–2596.
arXiv:1304.4951

8. Banach spaces whose algebra of bounded operators has the integers as their K0-group, with P. Koszmider and N.J. Laustsen,
Journal of Mathematical Analysis and Applications 428 (2015), no. 1, 282–294.
arXiv:1303.2606

7. Finite generation in C*-algebras and Hilbert C*-modules, with D. Blecher,
Studia Mathematica 224, Issue 2, (2014), 143–151.
arXiv:1402.4411

6. A weak*-topological dichotomy with applications in operator theory, with P. Koszmider and N.J. Laustsen,
Transactions of the London Mathematical Society 1 (2014), 1–28.
arXiv:1303.0020

5. Maximal left ideals of operators acting on a Banach space, with H.G. Dales, T. Kochanek, P. Koszmider and N.J. Laustsen,
Studia Mathematica 218, Issue 3, (2013), 245–286.
arXiv:1208.4762

4. A chain condition for operators from C(K)-spaces, with K.P. Hart and T. Kochanek,
Quarterly Journal of Mathematics (Oxford) 65 (2014), 703–715.
arXiv:1211.2770

3. A reflexive Banach space whose algebra of operators is not a Grothendieck space,
Journal of Mathematical Analysis and Applications, 401 (2013), 242–243.
arXiv:1211.2867

2. The ideal of weakly compactly generated operators acting on a Banach space, with T. Kochanek,
Journal of Operator Theory 71 (2014), 101–124.
arXiv:1206.5424

1. Uniqueness of the maximal ideal of the Banach algebra of bounded operators on
C([0, ω1]), with N.J. Laustsen,
Journal of Functional Analysis 262 Issue 11, (2012), 4831–4850.
arXiv:1112.4800