Ключевые слова: узлы,
пространства отображений,
алгебры Сабинина.
Основные темы научной работы:
алгебра, топология
Основные публикации:
J. Mostovoy, “Spaces of rational loops on a real projective space”, Trans. Amer. Math. Soc., 353:5 (2001), 1959–1970
J. Mostovoy, “Short ropes and long knots”, Topology, 41:3 (2002), 435–450
S. Chmutov, S. Duzhin, J. Mostovoy, Introduction to Vassiliev knot invariants, Cambridge University Press, Cambridge, 2012
J. Mostovoy, “The notion of lower central series for loops”, Non-associative algebra and its applications, Lect. Notes Pure Appl. Math., Chapman & Hall/CRC, Boca Raton, FL, 2006, 291–298
J. Mostovoy, J. M. Perez-Izquierdo, I. P. Shestakov, “Hopf algebras in non-associative Lie theory”, Bull. Math. Sci., 4:1 (2014), 129–173
