About me.
I am a set theorist and my main research interests lie in the areas of inner model theory, determinacy axioms and descriptive set theory, as well as their relationships and connections to other areas of logic.
I am Associate Professor at TU Wien in the Institute for Discrete Mathematics and Geometry and currently the PI of the FWF START project Y1498 and the international FWF project I6087. Moreover, I am a member of the Young Academy of the Austrian Academy of Sciences (ÖAW) and I serve as the Editor for Thesis Abstracts for the Bulletin of Symbolic Logic.
I am very glad to lead and work with this fantastic group of researchers.
In the summer there will be two inner model theory events happening in Vienna:
- June 24-28, 2024: Workshop Determinacy, Inner Models and Forcing Axioms at the Erwin Schrödinger Institute (ESI), Vienna
- July 1-5, 2024: Tutorials on Recent Advances in Inner Model Theory at TU Wien
Key achievements: Proving a conjecture of Sargsyan on the consistency strength of a model of determinacy in which all sets of reals are universally Baire. Development of a new translation procedure to obtain an iterable inner model with a limit of Woodin and strong cardinals. With Sargsyan: Development of a derived model representation for the Sealing model and applications towards generic absoluteness for Chang models. With Aguilera: Determination of the large cardinal strength of determinacy of projective games of length $\omega^2$. With Carroy and Medini: Analysis of the full Wadge hierarchy under determinacy and application to solve a problem in general topology.
Recent and upcoming talks.
05 May 2023 » Gdansk Logic Conference
Determinacy and generic absoluteness for the definable powerset of the universally Baire sets07 Sep 2023 » British Logic Colloquium, Bristol
Generic absoluteness for the definable powerset of the universally Baire sets22 Sep 2023 » OeMG Meeting, Graz, Plenary talk
Independence Phenomena in Mathematics: Current Obstacles and Scenarios for Solutions11 Oct 2023 » 17th International Luminy Workshop in Set Theory
Generic absoluteness for the definable powerset of the universally Baire sets13 Nov 2023 » Perspectives on Set Theory, IMPAN, Warsaw
The mystery of Woodin limits of Woodin cardinals27 Jan 2024 » Winter School in Abstract Analysis
Determinacy, Large Cardinals, and Inner Models03 Sep 2024 » Congress of the Italian Association of Logic and Applications, Udine
TBA
Most recent publications.
Outward compactness
(with P. Holy and P. Lücke)Sigma_1-definability at higher cardinals: Thin sets, almost disjoint families and long well-orders
(with P. Lücke)An undecidable extension of Morley's theorem on the number of countable models
(with C. J. Eagle, C. Hamel, and F. D. Tall)Chang models over derived models with supercompact measures
(with T. Gappo and G. Sargsyan)Towards a generic absoluteness theorem for Chang models
(with G. Sargsyan)
Current teaching.
PhD students
- Lukas Koschat, since August 2022.
- Lena Wallner, since December 2023.
Bachelor and Master students
- Lena Wallner, Masterthesis, SoSe 2023, Iteration trees and genericity iterations.
- Maximilian Scheiderbauer, Bachelorthesis, SoSe 2023, Forcing.
Lectures and Seminars
- SoSe 2024 Inner Model Theory Seminar (Takehiko Gappo)
- SoSe 2024 Set Theory (Lecture: Andreas Lietz, Exercises: Lena Wallner)
Contact information.
E-Mail sandra.mueller at tuwien dot ac dot atPhone +43 1 58801 10414
Address
Assoc. Prof. Dr. Sandra Müller
Forschungsgruppe Algebra (FG1)
Institut für Diskrete Mathematik und Geometrie, TU Wien
Wiedner Hauptstrasse 8-10/104
1040 Wien
Austria.
You can find me in office number DA 05 B19. This is on the 5th floor in the green area of TU Wien's Freihaus building, close to the green elevators.