Andrey Gogolev

• E-mail gogolyev.1_located_at_osu_dot_edu
• Office MW 522

On leave in the 2024-25 academic year

Recent papers and preprints

• Bouncing outer billiards (joint with Levi Keck and Kevin Lewis)
• Dominated splitting from constant periodic data and global rigidity of Anosov automorphisms (joint with Jonathan DeWitt) Geom. Funct. Anal. (GAFA) 34 (2024), no. 5, 1370-1398.
• A counterexample to marked length spectrum semi-rigidity (joint with James Marshall Reber) to appear in Groups, Geometry, and Dynamics
• Smooth rigidity for 3-dimensional volume preserving Anosov flows and weighted marked length spectrum rigidity (joint with Federico Rodriguez Hertz)
• Joint integrability and spectral rigidity for Anosov diffeomorphisms (joint with Yi Shi) Proceedings of the LMS, (3) 127 (2023), no. 6, 1693-1748.
• Smooth rigidity for higher dimensional contact Anosov flows (joint with Federico Rodriguez Hertz) Ukrainian Mathematical Journal 75 (2024), no. 9, 1361-1370.
• Smooth rigidity for codimension one Anosov flows (joint with Federico Rodriguez Hertz) Proceedings of the AMS, 151 (2023), no. 7, 2975–2988.
• Smooth rigidity for very non-algebraic Anosov diffeomorphisms of codimension one (joint with Federico Rodriguez Hertz) and earlier version which includes only the basic 3-dimensional case. To appear in Israel Journal of Mathematics.
• Riemannian Anosov extension and applications (joint with Alena Erchenko and Dong Chen) Journal de l'École polytechnique — Mathématiques (JEP) 10 (2023), 945–987.
• Abelian Livshits theorems and geometric applications (joint with Federico Rodriguez Hertz) in "A vision for dynamics in the 21st century—the legacy of Anatole Katok." Cambridge University Press, Cambridge, 2024, 139-167.
• Surgery for partially hyperbolic dynamical systems II. Blow-up of a complex curve (joint with Federico Rodriguez Hertz) Mathematische Zeitschrift, 298 (2021), no. 3-4, 1793–1811.
• Smooth rigidity for very non-algebraic expanding maps (joint with Federico Rodriguez Hertz) Journal of European Mathematical Society (JEMS) 25 (2023), no. 8, 3289–3323.
• Centralizers of partially hyperbolic diffeomorphisms in dimension 3 (joint with Thomas Barthelmé) Discrete Continuous Dynamical Systems, series A, 41 (2021), no. 9, 4477–4484.
• Center foliation rigidity for partially hyperbolic toral diffeomorphisms (joint Boris Kalinin and Victoria Sadovskaya) Mathematische Annalen, 387 (2023), no. 3-4, 1579-1602.

• Rigidity Lecture Notes (CIRM, May 2019): available on request.

Teaching

BUH 2025