## Contact

Universität WienKurt Gödel Research Center for Mathematical Logic

Währinger Straße 25, office 02.91

1090 Vienna

Austria

ein damqazian sobotawsx@edcgmrfvail tgbyhncomujm

(change gaps to dots)

## Mathematical interests

**Applications of infinitary combinatorics to measure theory and Banach space theory.**

My PhD advisor at the Institute of Mathematics of Polish Academy of Sciences was Prof. Piotr Koszmider.

## Publications

- with J. Kąkol, L. Zdomskyy, The Josefson-Nissenzweig theorem for C(K)-spaces, in preparation.
- Grothendieck C(K)-spaces of small density, in preparation.
- with L. Zdomskyy, Convergence of measures in forcing extensions, Israel J. Math (2019), to appear, preprint.
- with L. Zdomskyy, The Nikodym property in the Sacks model, Topol. Appl. 230C (2017), 24-34, DOI, preprint.
- On families of subsets of natural numbers deciding the norm convergence in ℓ
_{1}, Proc. Amer. Math. Soc. 146 (2018), no. 4, 1673-1680, DOI, preprint. - Families of sets related to Rosenthal's lemma, Arch. Math. Logic 58 (2019), no. 1, 53-69, DOI, preprint.
- The Nikodym property and cardinal characteristics of the continuum, Ann. Pure Appl. Logic 170 (2019), no. 1, 1-35, DOI, preprint.
- with G. Plebanek, Countable tightness in the spaces of regular probability measures, Fund. Math. 229:2 (2015), 159-169, DOI, arXiv.
- Fibers of generic maps on surfaces, Topol. Appl. 161 (2014), 163-177, DOI, preprint.

## Awards

**Wacław Marszałek Award**, 1st Degree Award of the Director of the Institute of Mathematics of Polish Academy of Sciences for the Distinguished PhD Thesis, 2017.

My PhD thesis ** Cardinal invariants of the continuum and convergence of measures on compact spaces** was awarded

**honors.**

*summa cum laude***Second Prize in the Józef Marcinkiewicz Contest for the Best Student Paper in Mathematics** organized by the Polish Mathematical Society (56th edition, 2012).

**Scholarship for the Best PhD students**, Institute of Mathematics, Polish Academy of Sciences, 2014-2015.

**Polish Minister of Science and Higher Education Scholarship for Outstanding Results in Study**, twice: 2009-2010 and 2010-2011.

## Trivia

**My Erdös number is 3** through G. Plebanek → A. Blass → P. Erdös.

My brother **Daniel Sobota** is a philosopher.