**SARKA STEJSKALOVA**

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

**Grants**

- Member of standard Czech Science Foundation (GACR) grant 23-04683S, Compactness in set theory and its applications in algebra and graph theory (2023-2025)
- 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,
*Annals of Pure and Applied Logic*, 172(7), article number 102974, 2021 [pdf] -
Small u(kappa) at singular kappa with compactness at kappa++ (with R. Honzik),
*Archive for Mathematical Logic*, 61, 33-54, 2022 [pdf] -
Trees and stationary reflection at double successors of regular cardinals (with T. Gilton and M. Levine),
*The Journal of Symbolic Logic*, 88(2), 780-810, 2023 [pdf] -
Indestructibility of some compactness principles over models of PFA (with R. Honzik and C. Lambie-Hanson),
*Annals of Pure and Applied Logic*, 175(1,A), article no. 103359, 2024 [pdf] -
Club stationary reflection and other combinatorial principles at aleph_{omega+2} (with T. Gilton), accepted in
*Annals of Pure and Applied Logic*(2023) [pdf] -
Strong tree properties, Kurepa trees, and guessing models (with C. Lambie-Hanson),
*Monatshefte f. Math.*, 203, 111-148, 2024 [pdf] -
Guessing models, trees, and cardinal arithmetic (with C. Lambie-Hanson), accepted in
*Israel Journal of Mathematics*(2023), an arXiv link [here] - Generalized cardinal invariants for an inaccessible kappa with compactness at kappa++ (with R. Honzik), submitted (2023) [pdf]
- Forcing over a free Suslin tree (with J. Krueger), submitted (2024) [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]

**Contacts**

email: stejskalova at math.cas.cz

ORCID: 0000-0001-8589-7117