Hanna Oppelmayer, PhD
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E-Mail: hanna.oppelmayer@uibk.ac.at Tel.: +43 512 507 53875 Technikerstraße 21a, room 2N14 |
About myself
I am a post-doctoral researcher in Mathematics at the University of Innsbruck, funded by the FWF ESPRIT ESP4189024 for the project "Random sub-algebras".
Research
My major interests are random walks on groups or other structures and their boundaries. Boundaries can be understood as a way of compactifying the random walks. A very powerful object in this category is the so-called Furstenberg Poisson boundary, which builds bridges between several areas of mathematics, in particular Group Theory, Probability Theory, Ergodic Theory, Dynamics and Operator Algebra Theory. One of the main tools to understand these boundaries is Entropy. In a broader frame, I investigate stationary ergodic measure spaces (non-singular actions). Boundaries are one instance of such spaces.
FWF ESP4189024: Random sub-algebras
This 3-year project aims to utilise the concept of invariant random sub-von Neumann algebras (IRA), introduced in [4]. The project has started on 3.11.2025.
Prospective researchers involved: Tattwamasi Amrutam, Yair Hartman, Tim Netzer, Ecaterina Sava-Huss
Teaching at the University of Innsbruck
- VO & PS Statistik WS 2022 and WS 2023 (Bachelor Mathematics)
- VO Stochastic 1 SoSe 2023 (Bachelor Mathematics)
- PS Stochastic 1 SoSe 2024 (teacher candidates)
- PS Linear Algebra WS 2024
Education & Employment
| BSc & MSc | University of Vienna, Austria | Roland Zweimüller (master thesis advisor) |
| PhD | Chalmers University of Technology, Sweden | Michael Björklund |
| research visit | Northwestern University, USA | Yair Hartman |
| Post Doc | TU Graz, Austria | Wolfgang Woess |
| research visit | Université Paris Est Créteil, France | Sara Brofferio |
| Post Doc | Ben Gurion University of the Negev, Israel | Yair Hartman |
| Post Doc | University of Innsbruck, Austria |
Ecaterina Sava-Huss |
| Post Doc |
University of Montpellier & Sorbonne University (employed by ANR-22-CE40-0004 GoFR) |
Jérémie Brieussel & Anna Erschler |
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Post Doc |
University of Innsbruck, Austria (FWF ESP4189024) |
Ecaterina Sava-Huss |
Grants
- FWF ESPRIT 2024
- Early Stage Funding 2022
- AIANI 2022
- Knut and Alice Wallenberg Foundation: Travel Grant 2016
Publications and Preprints
Stochastics and Dynamics, Vol. 21, No. 6 (2021) 2150038, World Scientific Publishing Company,
[2 ] Kudo-continuity of conditional entropies.
[3 ] Random walks on dense subgroups of locally compact groups.
M. Björklund, Y. Hartman, H. Oppelmayer,