## Andrey GogolevDepartment of Mathematics The Ohio State University **E-mail**gogolyev.1_located_at_osu_dot_edu**Office**MW 652
My research interest is in dynamics and related areas of topology and geometry. Dynamics on your screen, August 3-6, 2020 Rescheduled to January 18-22, 2021. ## Blog## Papers## Recent papers and preprints- Riemannian Anosov extension and applications (joint with Alena Erchenko and Dong Chen)
- Abelian Livshits theorems and geometric applications (joint with Federico Rodriguez Hertz)
- Surgery for partially hyperbolic dynamical systems II. Blow-up of a complex curve (joint with Federico Rodriguez Hertz)
- Smooth rigidity for very non-algebraic expanding maps (joint with Federico Rodriguez Hertz)
- Centralizers of partially hyperbolic diffeomorphisms in dimension 3 (joint with Thomas Barthelmé)
- Center foliation rigidity for partially hyperbolic toral diffeomorphisms (joint Boris Kalinin and Victoria Sadovskaya)
- Local rigidity of Lyapunov spectrum for toral automorphisms (joint with Boris Kalinin and Victoria Sadovskaya) to appear in
*Israel Journal of Mathematics.* - Anomalous Anosov flows revisited (joint with Thomas Barthelmé, Christian Bonatti and Federico Rodriguez Hertz) to appear in
*Proceedings of London Math Society.* - A numerical study of Gibbs u-measures for partially hyperbolic diffeomorphisms on T
^{3}(joint with Aleksey Kolmogorov and Itai Maimon)*Experimental Mathematics,*28 (2019), no. 3, 271–283. For a version with high quality images click here, 17MB file . - Anomalous partially hyperbolic diffeomorphisms III: abundance and incoherence (joint with Christian Bonatti, Andy Hammerlindl and Rafael Potrie) to appear in
*Geometry & Topology.* - A note on self orbit equivalences of Anosov flows and bundles with fiberwise Anosov flows (joint with Thomas Barthelmé)
*Mathematical Research Letters,*26 (2019), no. 3, 711-728. - Surgery for partially hyperbolic dynamical systems I.
Blow-ups of invariant submanifolds
*Geometry & Topology,*22 (2018), no. 4, 2219–2252.
Students: Danyu Zhang ## TeachingFall 2020: Differentiable Manifolds,Honors Linear Algebra and Differential Equations. Math 5520H Spring 2020: Math 4547, Introduction to Real Analysis I Fall 2019: Differentiable Manifolds, Fall 2018: Algebraic Topology I Spring 2018: Math 2255, ODEs Fall 2017: Math 4556, Dynamical Systems Travel plans and visitors |
My old picture with Lyapunov, Odessa 2006. My math bookmarks: |