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 currently hold an FWF Elise Richter Fellowship with the project Long games and determinacy when sets are universally Baire at the Institute of Discrete Mathematics and Geometry at TU Wien. The Elise Richter Programme supports highly qualified scientists to enhance their university career.
Before, I was a L'ORÉAL Austria/ÖUK/ÖAW Fellow with the project Determinacy and Large Cardinals in the logic group at the mathematics department at the University of Vienna. The L'ORÉAL Austria Fellowship is awarded in collaboration with the Austrian UNESCO Commission and in cooperation with the Austrian Academy of Sciences, with the financial support of the Federal Ministry of Education, Science and Research to support young basic researchers in the fields of medicine, the natural sciences or mathematics.In April 2022, I have been elected as a member of the Young Academy of the Austrian Academy of Sciences (ÖAW). The Young Academy currently consists of 63 excellent researchers who were elected on the basis of acquired important research awards and fellowships. One main aim of the Young Academy is to support innovative research and strengthen young researchers.
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. Analysis of the hereditarily ordinal definable sets HOD in canonical inner models with finitely many Woodin cardinals (with Sargsyan). Determination of the large cardinal strength of determinacy of projective games of length $\omega^2$ (with Aguilera). Analysis of the full Wadge hierarchy under determinacy and application to solve a problem in general topology (with Carroy and Medini).
Recent and upcoming talks.
08 Mar 2022 » Leeds University Models and Sets seminar
The Interplay of Determinacy, Large Cardinals, and Inner Models10 Mar 2022 » Logic Colloquium, University of Vienna
The Interplay of Determinacy, Large Cardinals, and Inner Models29 Apr 2022 » Algebra Seminar, TU Wien
A journey through the world of mice and games11 May 2022 » Set Theory Seminar, University of Barcelona
Inner Models, Determinacy, and Sealing24 May 2022 » Set Theory Seminar, University of Vienna
Inner Models, Determinacy, and Sealing27 May 2022 » Baltic Set Theory Seminar
A stationary-tower-free proof of Woodin's Sealing Theorem20 Jun 2022 » Münster conference on inner model theory
TBA27 Jun 2022 » Logic Colloquium Reykjavik, Iceland
A stationary-tower-free proof of Sealing from a supercompact04 Jul 2022 » Set Theory Workshop at the Erwin Schrödinger Institute
TBA10 Jul 2022 » Set Theory Conference in Jerusalem
Inner Models, Determinacy, and Sealing29 Aug 2022 » European Set Theory Conference, Turin, Plenary talk
TBA05 Sep 2022 » PhDs in Logic XIII, Turin
TBA05 Jan 2023 » Winter Meeting of the ASL with the JMM, Boston, Invited Address
TBA
Abstracts for older talks can be found here.
Most recent publications.
Lebesgue's density theorem and definable selectors for ideals
(with P. Schlicht, D. Schrittesser, and T. Weinert)Sigma_1-definability at higher cardinals: Thin sets, almost disjoint families and long well-orders
(with P. Lücke)Uniformization and Internal Absoluteness
(with P. Schlicht)HOD in inner models with Woodin cardinals
(with G. Sargsyan)An undecidable extension of Morley's theorem on the number of countable models
(with C. J. Eagle, C. Hamel, and F. D. Tall)
Contact information.
E-Mail sandra.mueller at tuwien dot ac dot atAddress
Dr. Sandra Müller
Forschungsgruppe Algebra (FG1)
Institut für Diskrete Mathematik und Geometrie, TU Wien
Wiedner Hauptstrasse 8-10/104
1040 Wien
Austria.