Vyacheslav Futorny
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June 3, 1961
(Habilitation, 1995)
Vyacheslav M. Futorny | |
|---|---|
| Born | Vyacheslav M. Futorny June 3, 1961 |
| Other names | V. Futorny, V.M. Futorny, Viatcheslav Futorny |
| Citizenship | Ukrainian-Brazilian |
| Alma mater | Kiev University (PhD, 1987) (Habilitation, 1995) |
| Known for | Affine Lie algebra Representation theory Gelfand-Tsetlin modules |
| Awards | Member of Brazilian Academy of Sciences (2015)[1] ICM Invited Speaker (2018)[2] |
| Scientific career | |
| Fields | Mathematics Lie algebra Representation theory[3] |
| Institutions | University of São Paulo Southern University of Science and Technology Kiev University[1] |
| Thesis | Weight Modules over Semi-Simple Lie Algebras[4] (1987) |
| Doctoral advisor | Yuriy Drozd |
| Website | ime |
Vyacheslav M. Futorny (June 3, 1961) is a Ukrainian-Brazilian mathematician who works in affine Lie algebra and its representation theory.[5] He is a professor at the University of São Paulo and a full member of the Brazilian Academy of Sciences. He was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro (2018).[2]
Futorny obtained a PhD in Mathematics in 1987 at Kiev University, supervised by Yuriy Drozd, with the thesis Weight Modules over Semi-Simple Lie Algebras.[4] He received his habilitation in 1995. He completed postdoctoral studies at the University of Oslo, Norway in 1991 and at Queen's University, Canada in 1993.[5]
Career
Scientific contributions
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.[7]
- 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.[8]
- 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.[9]
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.
