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 Associate Professor at TU Wien in the Institute for Discrete Mathematics and Geometry and currently the PI of the following projects:

• FWF Emerging Fields Project UnAxiMa (joint with Juan Aguilera, Vera Fischer, Laura Kovacs, Michael Pinsker and Georg Schiemer)
• FWF Project PAT2418625
• FWF START Prize Y1498
• FWF International Project I6087

Moreover, I am a member of the Young Academy of the Austrian Academy of Sciences (ÖAW) and I serve as the Editor for Thesis Abstracts for the Bulletin of Symbolic Logic. I also play an active role in fem*MA, the Austrian Association of Women in Mathematics and other programs for junior researchers, in particular women, in mathematics and science.

I am very glad to lead and work with this fantastic group of 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. With Sargsyan: Development of a derived model representation for the Sealing model and applications towards generic absoluteness for Chang models. With Aguilera: Determination of the large cardinal strength of determinacy of projective games of length $\omega^2$. With Carroy and Medini: Analysis of the full Wadge hierarchy under determinacy and application to solve a problem in general topology.

Recent and upcoming talks.

• 27 Jun 2025 » Berkeley Inner Model Theory Conference
  Translating between large cardinals and iteration strategies

• 01 Dec 2025 » University of Münster
  Translating strategy mice

• 27 Feb 2026 » 6th Austrian Day of Women in Mathematics
  The boundaries of mathematics: infinite games and very large sets

• 19 Mar 2026 » Logic Colloquium, University of Vienna
  Sealing the universe: How far can inner model theory reach?

• 09 Apr 2026 » Building Materials Seminar, TU Wien
  The boundaries of mathematics: infinite games and very large sets

• 10 Apr 2026 » Österreichische Studienstiftung, Wien
  Unbegreifliches verstehen: eine Reise zu großen Unendlichkeiten und den Grenzen der Mathematik

Abstracts for older talks can be found here. For a general introduction to my work, you can watch the Young Academy Distinguished Lecture I gave jointly with Jan von Plato and W. Hugh Woodin at the Austrian Academy of Sciences on October 9, 2024. Here are some pictures and a short report of the event (in German).

If you are interested in a more technical introduction to my recent work, you can watch my talk at the 17th International Luminy Workshop in Set Theory.

Most recent publications.

• Long games just beyond fixed countable length
  (with T. Gappo)

• The consistency strength of determinacy when all sets are universally Baire
  

• Towards a generic absoluteness theorem for Chang models
  (with G. Sargsyan)

• A model with fragments of projective determinacy and failures of DC
  (with B. Wcisło)

• The lambda-PSP at lambda-coanalytic sets
  (with F. Barrera and V. Dimonte)

More publications can be found here.

Current teaching.

Lectures

• Mengenlehre
• Frauen in der Mathematik
• Inner Model Theory Seminar: Very large cardinals

Master students

• Maximilian Scheiderbauer, since September 2025.

PhD students

• Lukas Koschat, since August 2022.
• Lena Wallner, since December 2023.

For information on the lectures and seminars I am teaching please visit TISS and see here for previous semesters and for finished Bachelor as well as Master theses which I have advised.

Contact information.

E-Mail    sandra.mueller at tuwien dot ac dot at
Phone    +43 1 58801 10414

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

You can find me in office number DA 05 B19. This is on the 5th floor in the green area of TU Wien's Freihaus building, close to the green elevators.