My main research topics are infinitary combinatorics, forcing and its applications to Analysis and Topology. I got my Ph.D. in Mathematics at CCM UNAM and IFM UMSNH in 2018 under the supervision of Michael Hrušák.
Currently I am working as a postdoc at the Institute of Mathematics of the University of Wrocław.
This is a list of my research papers.
| On the Rudin-Blass Ordering of Measures. (Joint work with P. Borodulin-Nadzieja, A. Morawski and J. Świerczyńska)[ArXiv] |
| A small Radon-Nikodym compact space from a parametrized diamond. (Joint work with A. Morawski)[ArXiv] |
| On cardinal invariants related to Rosenthal families and large-scale topology. (Joint work with T. Żuchowski) Annals of Pure and Applied Logic Volume 176, Issue 8 (2025) [Journal][ArXiv] |
| On ideals related to Laver and Miller trees. (Joint work with A. Cieślak) The Journal of Symbolic Logic. [Journal][ArXiv] |
| Michael Spaces and Ultrafilters. Topology and its Applications, Volume 346 (2024). [Journal][ArXiv] |
| Rosenthal families, pavings and generic cardinal invariants, (Joint work with P. Koszmider). Proc. Amer. Math. Soc. 149 (2021), 1289-1303. [Journal][ArXiv] |
| Cardinal Invariants of Strongly Porous Sets, (Joint work with O. Guzmán and M. Hrušák) Journal of Logic & Analysis, Vol 9 (2017) [Journal, Open Access][Preprint] |
| Canjar Filters, (Joint work with O. Guzmán and M. Hrušák) Notre Dame J. Formal Logic, Volume 58, Number 1 (2017). [Journal][Preprint] |
| Canjar Filters II: Proofs of b<s and b<a revisited, (Joint work with O. Guzmán and M. Hrušák) RIMS Kokyuroku No. 1895 (2014) [Journal, Open Access][Preprint] |
You can download my Ph.D. thesis here.
The best way to contact me is by e-mail. My e-mail address is arturo.martinez-celis@math.uni.wroc.pl You can also contact me at my office at the following address:
Room 702
50384 Wrocław, Poland
Forcing
Thursday 16.00-18.00 Room: A. Institute of Matematics
Mathematics in Life Sciences
Thursday 11.30-13.30 Room: 0.3. Faculty of Biotechnology
Friday 10.00-12.00 Room 602. Institute of Matematics
Friday 12.00-14.00 Online. Reach out in the official MS Teams group if you want to follow this lecture.
Exercises: [List 1][List 2][List 3]
Consultation hours: Thursdays from 14.00 to 16.00. We can arrange a meeting if these hours do not work for you. Contact me by e-mail.