Futorny has made significant contributions to the representation theory of Lie algebras and related algebraic structures, with a particular focus on the classification and structure of modules, weight representations, and their connections to mathematical physics. • One of his notable works, co-authored with
Yuriy Drozd and S.A. Ovsienko, advanced the theory of Harish-Chandra subalgebras and Gelfand–Tsetlin modules. This research established a foundation for the study of a large class of modules characterized by explicit constructions and laid groundwork for further exploration of representations with rich combinatorial structures. • In collaboration with B. Cox and D. Melville, Futorny provided a systematic study of categories of nonstandard highest weight modules for affine Lie algebras. This work broadened the understanding of module categories beyond standard settings and remains influential for research on affine and Kac–Moody algebras. • Together with Yuly Billig, Futorny worked on the classification of irreducible representations of the Lie algebra of vector fields on a torus. Their results contributed new insights into the structure of infinite-dimensional Lie algebras and had ramifications for the understanding of symmetries in mathematical physics. Futorny's research has been instrumental in shaping modern approaches to Lie theory, weight module classifications, and the representation theory of both finite-dimensional and infinite-dimensional algebras. == Awards and honors ==