Andrey Gogolev

Andrey Gogolev works in dynamical systems, a branch of mathematics that studies how points move over time under repeated application of a rule (a map or flow), especially systems with 'hyperbolic' behavior where nearby trajectories rapidly diverge in some directions and converge in others (Anosov and partially hyperbolic systems). His research centers on 'rigidity' questions: determining when the qualitative dynamical behavior of such a system forces it to be equivalent, in a precise mathematical sense, to a simpler algebraic or geometric model, and constructing examples where such rigidity fails. This work sits within the mathematical theory of smooth dynamical systems, geometric topology, and differential geometry.

Publication output has been fairly steady over the last decade, fluctuating between roughly 1 and 6 papers per year with a slight decline in the most recent two years.

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