Email address: danyu dot zhang at uni dot lu
I am a postdoc at University of Luxembourg since September 2023, under the supervision of Karin Melnick.
I received my PhD in Math in May 2023, from The Ohio State University where my thesis advisor was Andrey Gogolev.
My name in simplified Chinese: 张丹彧.
Research
I am broadly interested in questions with a flavor of understanding the underlying topology and / or geomerty of the spaces with the presence of dynamics (or maybe vice versa).
Papers and preprints
- Anosov diffeomorphisms on a product of surfaces (2022). arXiv, updated pdf. Submitted.
- Structural stability for fibrewise Anosov diffeomorphisms on principal torus bundles (2021). Ergodic Theory and Dynamical Systems. 2024;44(1):334-352. arXiv.
In progress
- New examples of Anosov flows on higher dimensional manifolds which fibre over 3-dimensional Anosov flows (2022). arXiv. (Caution: there’s a mistake. I’d be very happy to chat about this.)
Other formal writings
Teaching
- Winter 2024-2025: Linear Algebra 1 Tutorial $\times 2$
Seminars
Recreational writings
…with presumably many mistakes.
Translations
- An Example of a Transitive Anosov Flow Transverse to a Torus and Not Conjugate to a Suspension, by Christian Bonatti and Remi Langevin. Original. Translated (without figures).
- Foliated manifolds, by André Haefliger. Original. Translated.
Random stuffs
Èrhuángmáo in Luxembourg, You and Your Research, Math-life balance (YouTube channel; might autoplay), Pravoloxinone, Math Students Resource, Alice’s Adventures in Numberland, “intellectual generosity”, The GTM Test (?)…