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 very glad to lead and work with this fantastic group of researchers.

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

On September 26th, 2022, the Austrian Day of Mathematics, I received the Förderungspreis of the ÖMG (Austrian Mathematical Society).

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.

• 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
  Universally Baire Sets and the Inner Model Program

• 06 Sep 2022 » PhDs in Logic XIII, Turin
  Highlights from infinite games, mice, and their connection

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

• 08 Nov 2022 » Core Model Seminar
  A stationary-tower-free proof of Sealing

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

• 03 Mar 2023 » 10th Indian Conference on Logic and its Applications (ICLA)
  TBA

• 05 May 2023 » Gdansk Logic Conference
  TBA

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.

• Perfect Subtree Property for Weakly Compact Cardinals
  (with Y. Hayut)

• 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)

More publications can be found here.

Current teaching.

• Inner Model Theory Seminar

See here for previous semesters and for Bachelor theses which I have advised.

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.