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.

On ideals related to Laver and Miller trees. (Joint work with A. Cieślak) [ArXiv]
Michael Spaces and Ultrafilters. [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:

plac Grunwaldzki 2/4
Room 702
50384 Wrocław, Poland


Infinitary Combinatorics

Thursday 14.15-18.00 Room: 604/606. Institute of Mathematics

Exercises: [List 1][List 2][List 3][List 4][List 5][List 6]

Mathematics in Life Sciences

Friday 8.15-12.00 Room: 605. Institute of Mathematics

Exercises: [List 1][List 2][List 3][List 4][List 5][List 6][List 7][List 8]

Consultation hours: Friday 12.00-14.00 Room 701. We can arrange a meeting if these hours do not work for you. Contact me by e-mail.