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 V844 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.

I recently received an FWF START Prize for my project Determinacy and Woodin limits of Woodin cardinals. The START Prize is the highest award for outstanding young researchers in Austria. You can read an interview I gave about my research and the aims in this START project here (in German, see here for the English version).

In addition, I am the PI of the international FWF project I6087 entitled Classifying Derived Models of the Axiom of Determinacy.

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.

Here you can watch my talk at the 15th International Luminy Workshop in Set Theory.

Abstracts for older talks can be found here.

### Most recent publications.

More publications can be found here.

### Contact information.

E-Mail    sandra.mueller at tuwien dot ac dot at