Email address: danyu dot zhang at uni dot lu; permanent: zhangdanyu2014 at gmail dot com

      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), though it might appear that I study smooth dynamics with hyperbolicity.

Papers and preprints

1. Anosov diffeomorphisms on a product of surfaces (2022). arXiv. To appear in Geometriae Dedicata (online).
2. Structural stability for fibrewise Anosov diffeomorphisms on principal torus bundles (2021). Ergodic Theory and Dynamical Systems. 2024;44(1):334-352. arXiv.

Other formal writings

1. New examples of Anosov flows on higher dimensional manifolds which fibre over 3-dimensional Anosov flows (2022). arXiv. (working on fixing / disproving the existence with Neige Paulet.)

Teaching

• Summer 24-25: Géométrie euclidienne et non euclidienne, Instructor of record
• Winter 24-25: Linear Algebra 1, Tutorial $\times 2$

Seminars

• co-organizing Geometry and Topology seminar at University of Luxembourg

Recreational writings

…with presumably many mistakes.

Expositions

• Tomter’s algebraic Anosov flow of mixed type

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 (?)…