FWF START Prize Y1498
The
START Prize is the highest award for outstanding young researchers in Austria. I received one of the six START Prizes in 2022.
Determinacy and Woodin limits of Woodin cardinals
This project started on April 1, 2023 and will run until March 31, 2026 (with a possible extension until March 31, 2029 after a positive interim evaluation). The total awarded grants are 1.2 Million Euros.
Here are some pictures taken at the awarding ceremony.

© FWF/Anja Koppitsch/Daniel Novotny
More pictures:
Publications submitted or published within this project
A model with fragments of projective determinacy and failures of DC
(with B. Wcisło)
Submitted. PDF. arXiv.
Bibtex.
@ARTICLE{MuWc_PDnoDC,
AUTHOR = {S. Müller and B. Wcisło},
TITLE = {A model with fragments of projective determinacy and failures of DC},
JOURNAL = {},
VOLUME = {},
ISSUE = {},
YEAR = {2025},
PAGES = {},
EPRINT = {xxx},
DOI = {}}
The lambda-PSP at lambda-coanalytic sets
(with F. Barrera and V. Dimonte)
Submitted. PDF. arXiv.
Bibtex.
@ARTICLE{BaDiMu25,
AUTHOR = {F. Barrera and V. Dimonte and S. Müller},
TITLE = {The $\lambda$-PSP at $\lambda$-coanalytic sets},
JOURNAL = {},
VOLUME = {},
ISSUE = {},
YEAR = {2025},
PAGES = {},
EPRINT = {2504.15675},
DOI = {}}
Gödel's Program in Set Theory
(with G. Sargsyan)
Submitted. PDF. arXiv.
Bibtex.
@ARTICLE{MuSa25,
AUTHOR = {S. Müller and G. Sargsyan},
TITLE = {Gödel's Program in Set Theory},
JOURNAL = {},
VOLUME = {},
ISSUE = {},
YEAR = {2025},
PAGES = {},
EPRINT = {2412.07325},
DOI = {}}
Outward compactness
(with P. Holy and P. Lücke)
Israel Journal of Mathematics, accepted. PDF. arXiv.
Bibtex.
@ARTICLE{HLM24,
AUTHOR = {P. Holy and P. Lücke and S. Müller},
TITLE = {Outward compactness},
JOURNAL = {Israel Journal of Mathematics},
VOLUME = {},
ISSUE = {},
YEAR = {2024},
PAGES = {},
EPRINT = {2402.15788},
DOI = {}}
Sigma_1-definability at higher cardinals: Thin sets, almost disjoint families and long well-orders
(with P. Lücke)
Forum of Mathematics, Sigma. Volume 11, 2023. e103.
DOI: 10.1017/fms.2023.102. PDF. arXiv.
Bibtex.
@ARTICLE{LM23,
AUTHOR = {P. Lücke and S. Müller},
TITLE = {Sigma_1-definability at higher cardinals: Thin sets, almost disjoint families and long well-orders},
JOURNAL = {Forum of Mathematics, Sigma},
VOLUME = {11},
ISSUE = {},
YEAR = {2023},
PAGES = {},
EPRINT = {2110.01468},
DOI = {10.1017/fms.2023.102}}
Chang models over derived models with supercompact measures
(with T. Gappo and G. Sargsyan)
Journal of Mathematical Logic, accepted.
PDF. arXiv.
Bibtex.
@ARTICLE{GMS23,
AUTHOR= {T. Gappo and S. Müller and G. Sargsyan},
TITLE= {Chang models over derived models with supercompact measures},
JOURNAL={Journal of Mathematical Logic},
VOLUME = {},
ISSUE = {},
YEAR = {2023},
PAGES = {},
EPRINT = {2307.08607},
DOI = {}}
Towards a generic absoluteness theorem for Chang models
(with G. Sargsyan)
Advances in Mathematics, accepted.
PDF. arXiv.
Bibtex.
@ARTICLE{MS_GenAbsCM,
AUTHOR= {S. Müller and G. Sargsyan},
TITLE= {Towards a generic absoluteness theorem for Chang models},
JOURNAL={Advances in Mathematics},
VOLUME = {},
ISSUE = {},
YEAR = {2025},
PAGES = {},
EPRINT = {2304.07623},
DOI = {}}
Determinacy and Large Cardinals
Logic and Its Applications. Lecture Notes in Computer Science. Volume 13963.
PDF.
Bibtex.
@INPROCEEDINGS{MuICLA,
AUTHOR= {S. Müller},
TITLE= {Determinacy and Large Cardinals},
SERIES = {Lecture Notes in Computer Science},
BOOKTITLE = {Logic and Its Applications},
VOLUME = {13963},
YEAR = {},
PAGES = {},
DOI = {}}