Mathematical control theory, sub-Riemannian geometry and and related topics in dynamical systems, geometry and topology.
Main publications:
Agrachev A. A., Gauthier J.-P., “On subanalyticity of Carnot–Caratheodory distances”, Annales de lInst. Henry Poincare – Analyse non lineaire, 18 (2001), 359–382
Agrachev A. A. Sarychev A. V., “Controllability of 2D Euler and Navier–Stokes equations by
degenerate forcing”, Commun. Math. Phys., 265 (2006), 673–697
Agrachev A. A., “Well-posed infinite horizon variational problems on a compact manifold”, Proceed. Steklov Math. Inst., 268 (2010), 24–39
Agrachev A. A., Lerario A., “Systems of quadratic inequalities”, Proceedings of the London Math. Soc., 105 (2012), 622–660
Agrachev A. A., Barilari D., Rizzi L., “Curvature: A variational approach”, Memoirs of the American Math. Soc., 256 (2018), 1–116
