Arturo Martínez-Celis

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.

Click here to download my CV.


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)[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:

Instytut Matematyczny Uniwersytetu Wrocławskiego
plac Grunwaldzki 2/4
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][List 4][List 5][List 6][List 7][List 8]

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.