Damian Sawicki

Publications and preprints

For more details, you can have a look at a list of my works uploaded to arxiv containing titles and abstracts. You may also wish to flip through my thesis.

• Two conjectures on coarse conjugacy by Geller and Misiurewicz
  Preprint (arxiv)

• Spectral gap and origami expanders
  with Goulnara Arzhantseva, Dawid Kielak, and Tim de Laat
  Commentarii Mathematici Helvetici, to appear (arxiv)

• Coarse entropy of metric spaces
  with William Geller and Michał Misiurewicz
  Preprint (arxiv)

• Dynamic asymptotic dimension for actions of virtually cyclic groups
  with Massoud Amini, Kang Li, and Ali Shakibazadeh
  Proceedings of the Edinburgh Mathematical Society 64 (2021) no. 2, 364–372 (journal | arxiv)

  • MPIM Preprint
    with Massoud Amini and Ali Shakibazadeh (preprint)

• Warped cones violating the coarse Baum–Connes conjecture
  (draft version, see also Chapter 9 of my thesis)

  • Extended abstract in: Mini-workshop: superexpanders and their coarse geometry, Oberwolfach Reports 15 (2018), no. 2, 1117–1160 (report)

• Warped cones, (non-)rigidity, and piecewise properties
  with a joint appendix with Dawid Kielak
  Proceedings of the London Mathematical Society 118 (2019), no. 4, 753–786 (journal | arxiv)

  • A short note on the equivalence of coarse amenability at infinity and piecewise property A
    unpublished note (2021) relating a notion from the above to coarse amenability at infinity of T. Pillon (pdf)

• Straightening warped cones
  with Jianchao Wu
  Journal of Topology and Analysis 13 (2021), no. 4, pp. 933–957 (journal | arxiv)

• Super-expanders and warped cones
   Annales de l'Institut Fourier 70 (2020), no. 4, pp. 1753–1774 (journal | arxiv)

• Warped cones and spectral gaps
  with Piotr W. Nowak
  Proceedings of the American Mathematical Society 145 (2017), no. 2, 817–823 (journal | arxiv)

• Warped cones over profinite completions
  Journal of Topology and Analysis 10 (2018), no. 3, 563–584 (journal | arxiv)

• On equivariant asymptotic dimension
  Groups, Geometry, and Dynamics 11 (2017), no. 3, 977–1002 (journal | arxiv)

• Remarks on coarse triviality of asymptotic Assouad–Nagata dimension
  Topology and its Applications 167 (2014), 69–75 (journal | arxiv)

Miscellanea

You can find me at Google Scholar (which is the number one tool for tracing citations in the preprint era) and ORCID (assigning unique identifiers to researchers so that I am not confused with a computer scientist from Białystok with the same name and surname). I also recommend acquiring an arXiv author id, so that you can link to a website like this one instead of relying on the arXiv search feature. On websites MathSciNet (subscription only) and Zentralblatt (open access since 2021!) you can retrieve citation data of published works (their main goal is to provide author-independent reviews or summaries, which also happen to be very useful). At times, you can also find me at LinkedIn. I agree with the San Francisco Declaration on Research Assessment (DORA), even though I am aware that implementing these principles may be elusive.

You can find some more information (attended events, talks given, and slides or posters) from the period of my PhD studies on my old webpage.