Differential geometry as a whole; radiation safety
Main publications:
Babenko S. P., Badin A. V., “Matematicheskaya model postupleniya toksichnykh veschestv v organizm cheloveka na predpriyatii atomnoi promyshlennosti v povsednevnykh proizvodstvennykh usloviyakh”, Materialy..., Itogi nauki i tekhniki. Ser. «Sovremennaya matematika i ee prilozheniya. Tematicheskie obzory», 194, VINITI RAN, M., 2021, 8–22
Babenko S. P., Bad'in A. V., “Set-Theoretic Topology and Some Properties of the Closure Operation of a Collection of Sets”, Journal of Mathematical Sciences (New York), 272:6 (2023), 853–865https://link.springer.com/article/10.1007/s10958-023-06477-z
Babenko S. P., Bad'in A. V., “Verification of a mathematical model that describes the action of uranium hexafluoride on the human body in facilities of the atomic industry”, Moscow University Physics Bulletin, 69:2 (2014), 124–133https://link.springer.com/article/10.3103/S0027134914020040
Babenko S. P., Bad'in A. V., “Formation of the distribution function of the aerosol-particle radii for the hydrolysis products of uranium hexafluoride in industrial premises”, Moscow University Physics Bulletin, 69:1 (2014), 21–28https://link.springer.com/article/10.3103/S0027134914010044
Babenko S. P., Badin A. V., “Ingalyatsionnoe i perkutannoe postuplenie v organizm cheloveka toksichnykh veschestv v usloviyakh povsednevnoi proizvodstvennoi deyatelnosti na predpriyatiyakh atomnoi promyshlennosti”, Matem. modelirovanie, 18:3 (2006), 13–22
Babenko S. P., Bad'in A. V., “A mathematical model of inhalation of toxic substances by the human body during emergencies at nuclear facilities”, Moscow University Physics Bulletin, 61:1 (2006), 48–52
Bad'in A. V., “On the geometric interpretation of solutions of a system generalizing the sine-Gordon equation”, Journal of Mathematical Sciences (New York), 141:1 (2007), 970–1003https://link.springer.com/article/10.1007/s10958-007-0026-4
Bad'in A. V., “Isometric immersions of two-dimensional Riemannian metrics of negative curvature into $E^{3}$”, Moscow University Mathematics Bulletin, 49:2 (1994), 41–49
Bad'in A. V., “Isometric immersions of rotation metrics on a sphere into $E^{4}$ in the form of surfaces of revolution”, Moscow University Physics Bulletin, 47:2 (1992), 22–26