Andrey Gogolev

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

Recent papers and preprints

• Dominated splitting from constant periodic data and global rigidity of Anosov automorphisms (joint with Jonathan DeWitt)
• A counterexample to marked length spectrum semi-rigidity (joint with James Marshall Reber)
• 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) to appear in Proceedings of the LMS.
• Smooth rigidity for higher dimensional contact Anosov flows (joint with Federico Rodriguez Hertz) to appear in Ukrainian Mathematical Journal.
• 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) to appear in Anatole Katok CUP memorial volume.
• 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) to appear in Mathematische Annalen.

Teaching