Quantum algebras, Yangians of Lie Superalgebras, index theory of Fredholm operators
Main publications:
Levendorskii S., Soibelman Ya., Stukopin V.,
Quantum Weyl group and universal R-matrix for quantum affine Lie algebra $A^{(1)}_1$, Lett. Math. Phys., 27 (1993), 1–11.
Stukopin V. A. O yangianakh superalgebr Li tipa A(m,n), Funktsion. analiz i ego prilozh., 28, No. 3 (1994), 85–90.
Stukopin V. Representations theory and Doubles of Yangians of classical Lie superalgebras. Asymptotic Combinatorics with Appic. to Math. Phys., 255–265 (2002). Kluwer Academic Publishers.
Stukopin V. A. Kvantovyi dubl yangiana superalgebry Li tipa A(m,n) i vychislenie universalnoi R-matritsy, Fundament. i prikladnaya matematika, T. 11, No. 2 (2005), 185–208.
Stukopin V. A. O duble yangiana superalgebry Li tipa A(m,n), Funktsion. analiz i ego prilozh., 40, No. 2 (2006)
Deundyak V. M., Simonenko I. B., Stukopin V. A. Indeks semeistv neterovykh singulyarnykh i bisingulyarnykh operatorov s kusochno-nepreryvnymi koeffitsientami na slozhnykh konturakh, Doklady AN, 338 (1994), # 2, 158–161.
Deundyak V. M., Simonenko I. B., Stukopin V. A. Gomotopicheskaya klassifikatsiya semeistv neterovykh singulyarnykh operatorov s kusochno-nepreryvnymi koeffitsientami na slozhnykh konturakh, Doklady AN, 329 (1993), # 2, 540–542.