Fundamental mathematics: algebraic topology, applications of topology in combinatorics and combinatorial geometry, Lie Group theory, multivalued groups, functional equations, theory of abelian functions.
Main publications:
V. M. Buchstaber, T. E. Panov, Toric Topology, Mathematical Surveys and Monographs, 204, Amer. Math. Soc., 2015 , 518 pp., arXiv: 1210.2368v3
V. M. Bukhshtaber, T. E. Panov, “Deistviya torov, kombinatornaya topologiya i gomologicheskaya algebra”, UMN, 55:5(335) (2000), 3–106
V. M. Bukhshtaber, D. V. Leikin, V. Z. Enolskii, “Uniformizatsiya mnogoobrazii Yakobi trigonalnykh krivykh i nelineinye differentsialnye uravneniya”, Funkts. analiz i ego pril., 34:3 (2000), 1–16
V. M. Bukhshtaber, “Funktsionalnye uravneniya, assotsiirovannye s teoremami slozheniya dlya ellipticheskikh funktsii, i dvuznachnye algebraicheskie gruppy”, UMN, 45:3(273) (1990), 185–186
V. M. Bukhshtaber, “Dvuznachnye formalnye gruppy. Algebraicheskaya teoriya i prilozheniya k kobordizmam. I”, Izv. AN SSSR. Ser. matem., 39:5 (1975), 1044–1064
V. M. Bukhshtaber, “Kharakter Chzhenya–Dolda v kobordizmakh. I”, Matem. sb., 83(125):4(12) (1970), 575–595
ISTINA
