Symplectic geometry, Poisson geometry, algebraic geometry, differential geometry and Riemannian geometry, nonlinear equations of mathematical physics, integrable systems, Hamiltonian and bi-Hamiltonian systems, discrete geometry and discrete equations, systems of hydrodynamic type, commuting differential operators.
Main publications:
O. I. Mokhov, Symplectic and Poisson geometry on loop spaces of smooth manifolds and integrable equations, Reviews in Mathematics and Mathematical Physics, 11, part 2, eds. S. P. Novikov and I. M. Krichever, Harwood Academic Publishers, Amsterdam, 2001, 204
O. I. Mokhov, “Soglasovannye i pochti soglasovannye psevdorimanovy metriki”, Funktsionalnyi analiz i ego prilozheniya, 35:2 (2001), 24–36
O. I. Mokhov, “Simplekticheskie i puassonovy struktury na prostranstvakh petel gladkikh mnogoobrazii i integriruemye sistemy”, Uspekhi matematicheskikh nauk, 53:3 (1998), 85–192
O. I. Mokhov, “O gruppakh kogomologii kompleksov odnorodnykh form na prostranstvakh petel gladkikh mnogoobrazii”, Funktsionalnyi analiz i ego prilozheniya, 32:3 (1998), 22–34
O. I. Mokhov, “Kommutiruyuschie differentsialnye operatory ranga 3 i nelineinye uravneniya”, Izvestiya AN SSSR, seriya matematicheskaya, 53:6 (1989), 1291–1315
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