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.
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.
12 Nov 2021 » Cross-Alps Logic Seminar
Large Cardinals and Determinacy
17 Nov 2021 » Vorstellungsvortrag an der Fakultät für Mathematik und Geoinformation, TU Wien
The Interplay of Determinacy, Large Cardinals, and Inner Models
08 Jan 2022 » Winter Meeting of the ASL with the JMM, Seattle, Invited Address
Lower bounds in set theory
03 Mar 2022 » Logic Colloquium, University of Vienna
08 Mar 2022 » Leeds University Models and Sets seminar
10 Jul 2022 » Set Theory Conference in Jerusalem
29 Aug 2022 » European Set Theory Conference, Turin, Plenary talk
05 Sep 2022 » PhDs in Logic XIII, Turin
Abstracts for older talks can be found here.
Most recent publications.
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 at
Dr. Sandra Müller
Forschungsgruppe Algebra (FG1)
Institut für Diskrete Mathematik und Geometrie, TU Wien
Wiedner Hauptstrasse 8-10/104