global analysis, mathematical physics, topology, nonstandard analysis.
Main publications:
Prokhorova M., “The spectral flow for Dirac operators on compact planar domains with local boundary conditions”, Communications in Mathematical Physics, 322:2 (2013), 385–414
Katsnelson M. I., Prokhorova M. F., “Zero-energy states in corrugated bilayer graphene”, Physical Review B, 77:20 (2008)
Prokhorova M. F., “Homeomorphism problems arising in the theory of grid generation”, Proc. of the Steklov Inst. of Math., 2008, Suppl. 1, S165–S182
Prokhorova M., The structure of the category of parabolic equations, arXiv: 0512094v5 [math.AP]
Прохорова М. Ф., “On the existence of factor sets by external equivalences in IST”, Siberian Math. J., 43:4 (2002), 708–713
