**SARKA STEJSKALOVA**

Assistant professor at Charles University, Faculty of Philosophy, Department of Logic. Postdoc at the Institute of Mathematics, Czech Academy of Sciences.

**Grants**

- Member of Joint Lead-Agency research grant between Austrian Science Foundation (FWF) and Czech Science Foundation (GACR), 19-29633L, Compactness principles and combinatorics (2019-2021)
- Member of Joint Lead-Agency research grant between Austrian Science Foundation (FWF) and Czech Science Foundation (GACR), I 1921-N25, The continuum, forcing, and large cardinals. (2015-2017)
- Principal Investigator, Internal grant Charles University, FF/VG/2017/54, The tree property and the continuum hypothesis. (2017)
- Member of Joint Lead-Agency research grant between Austrian Science Foundation (FWF) and Czech Science Foundation (GACR), no I 17-33849L, Filters, ultrafilters and connections with forcing. (2017-2019)

**Preprints**

*Research*

- The tree property at the double successor of a singular cardinal with a larger gap (with Sy D. Friedman and R. Honzik),
*Annals of Pure and Applied Logic*, 169, 548-564, 2018 [pdf] - The tree property and the continuum function below aleph_omega (with R. Honzik),
*Mathematical Logic Quarterly*, 64(1-2), 89-102, 2018 [pdf] -
The tree property at aleph_{omega+2} with a finite gap (with Sy D. Friedman and R. Honzik),
*Fundamenta Mathematicae*, 251, 219-244, 2020 [pdf] -
Indestructibility of the tree property (with R. Honzik),
*The Journal of Symbolic Logic*, 85(1), 467-485 (2020) [pdf] - Easton's theorem for the tree property below aleph_omega, submitted (2019) [pdf]
- Small u(kappa) at singular kappa with compactness at kappa++ (with R. Honzik), submitted (2019) [pdf]

*Surveys*

- A survey of special Aronszajn trees (with R. Honzik),
*Miscellanea Logica, Acta Univ. Car.*, volume X/1, pp. 73-91, 2015 [pdf] - Grigorieff forcing and the tree property,
*Miscellanea Logica, Acta Univ. Car.*, volume XI/2, pp. 63-72, 2017 [pdf]

**Homework sheet (for Exercises for Introduction to mathematics at the department of logic, 2019-2020)**

**Contacts**

email: stejskalova at math.cas.cz

ORCID: 0000-0001-8589-7117