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 am on the job market the 2025-2026 academic year.

      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. Non-examples of fibrewise Anosov flows, joint with Neige Paulet. In preparation, stabilized draft can be shared upon request.

• Abstract: We study the obstruction preventing some non-algebraic 3D Anosov flows from serving as the base of a fiberwise Anosov flow, which points to potential directions for positive answers if one wants to find non-algebraic (fibrewise) Anosov flows in dimension $\geq 7$.

1. Anosov diffeomorphisms on a product of surfaces (2022). arXiv. Geometriae Dedicata 219, 7 (2025).
2. Structural stability for fibrewise Anosov diffeomorphisms on principal torus bundles (2021). arXiv. Ergodic Theory and Dynamical Systems. 2024;44(1):334-352.

Other formal writings

Teaching

• Winter 25-26: Mathematics Foundation for Cybersecurity, Instructor of record
• Summer 24-25: Géométrie euclidienne et non euclidienne, Instructor of record
• Winter 24-25: Linear Algebra 1, Tutorial $\times 2$

Seminars

• Geometry and Topology seminar @ 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 (?)…