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 an assistant professor at the Mathematics department of the Wrocław University of Technology.
This is a list of my research papers.
| Cardinal invariants of idealized Miller null sets. (Joint work with A. Cieślak, T. Gappo and T. Yamazoe)[ArXiv] |
| On the Rudin-Blass Ordering of Measures. (Joint work with P. Borodulin-Nadzieja, A. Morawski and J. Świerczyńska). Annals of Pure and Applied Logic, Volume 177, Issue 10. []Journal][ArXiv] |
| A small Radon-Nikodym compact space from a parametrized diamond. (Joint work with A. Morawski). To appear in Fundamenta Mathematicae. [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, Volume 91, Issue 3. [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@pwr.edu.wpl You can also contact me at my office at the following address:
Room A.3.5
Budynek C-19
50-376 Wrocław, Poland
Algebra liniowa z geometrią analityczną
Ćwiczenia (grupa 2). Sala 311c. Poniedziałék 17:05 - 18:45 Budynek D1
Ćwiczenia (grupa 4). Sala 311d. Poniedziałek 18:55 - 20:35 Budynek D1
Math for Electronics
Lecture. Room 0.31. Thursday 13:15 - 15:00 Building C13
Class (Group 1). Room 105. Wednesday 13:15 - 15:00 Building C5
Class (Group 2). Room 31. Wednesday 15:15 - 16:55 Building C4
Class (Group 3). Room 31. Tuesday 15:15 - 16:55 Building C4
Find how the course is going to be graded here. Exercises: [List 0][List 1]
Consultation hours: Mondays and Thursdays from 15.00 to 17.00. Contact me by e-mail.