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 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).

© FWF/Anja Koppitsch/Daniel Novotny

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.

• 08 Mar 2022 » Leeds University Models and Sets seminar
  The Interplay of Determinacy, Large Cardinals, and Inner Models

• 10 Mar 2022 » Logic Colloquium, University of Vienna
  The Interplay of Determinacy, Large Cardinals, and Inner Models

• 29 Apr 2022 » Algebra Seminar, TU Wien
  A journey through the world of mice and games

• 11 May 2022 » Set Theory Seminar, University of Barcelona
  Inner Models, Determinacy, and Sealing

• 24 May 2022 » Set Theory Seminar, University of Vienna
  Inner Models, Determinacy, and Sealing

• 29 Jun 2022 » Münster conference on inner model theory
  A stationary-tower-free proof of Woodin's Sealing Theorem

• 29 Jun 2022 » Logic Colloquium Reykjavik, Iceland
  A stationary-tower-free proof of Sealing from a supercompact

• 04 Jul 2022 » Set Theory Workshop at the Erwin Schrödinger Institute, Vienna
  Preserving universally Baire sets and Sealing

• 10 Jul 2022 » Set Theory Conference in Jerusalem
  Inner Models, Determinacy, and Sealing

• 29 Aug 2022 » European Set Theory Conference, Turin, Plenary talk
  TBA

• 05 Sep 2022 » PhDs in Logic XIII, Turin
  TBA

• 09 Sep 2022 » Baltic Set Theory Seminar
  A stationary-tower-free proof of Woodin's Sealing Theorem

• 05 Jan 2023 » Winter Meeting of the ASL with the JMM, Boston, Invited Address
  Universally Baire Sets, Determinacy, and Inner Models

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.

• 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)

More publications can be found here.

Contact information.

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

Address
Dr. Sandra Müller
Forschungsgruppe Algebra (FG1)
Institut für Diskrete Mathematik und Geometrie, TU Wien
Wiedner Hauptstrasse 8-10/104
1040 Wien
Austria.