Speciality: 01.01.04 (Geometry and topology)
Phone: +7 (499) 507 86 73
E-mail: ,
Website: http://higeom.math.msu.su/people/millionschikov/
Keywords: graded Lie algebra, Lie algebra cohomology, nilmanifolds, symplectic structure, complex structure, Lie algebra deformation, pro-nilptent Lie algebra, Virasoro algebra, Klein-Gordon equation, minimal model of the rational homotopy type.
UDC: 515.179, 512.81, 512.818.4, 512.664.3, 512.664.8

Subject:

Algebraic Topology, deformations of Lie algebras, Lie algebra cohomology, infinite-dimensional Lie algebra growth, invariant geometrical structures on smooth manifolds, Lie algebra of vector fields, hyperbolic PDE

Main publications:

1. D.V. Millionshchikov, “Lie algebras of slow growth and Klein-Gordon equation”, Algebras and Representation Theory, 21:5 (2018), 1037-1069  
2. D. V. Millionschikov, “Kogomologii razreshimykh algebr Li i solvmnogoobrazii”, Matem. zametki, 77:1 (2005), 67-79    
3. D. V. Millionschikov, “Algebra formalnykh vektornykh polei na pryamoi i gipoteza Bukhshtabera”, Funkts. analiz i ego pril., 43:4 (2009), 26-44    
4. Fialowski A., Millionshchikov D.V., “Cohomology of graded Lie algebras of maximal class”, Journal of Algebra, 296:1, 157-176    
5. Millionschikov D.V., “Graded filiform Lie algebras and symplectic nilmanifolds”, In: Geometry, Topology, and Mathematical Physics: S.P. Novikovs Seminar, 2002-2003,, American Mathematical Society Translations, Series 2, 55 (2004), 259-279  

Recent publications

Presentations in Math-Net.Ru

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Organisations:

• Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Chair of Higher Geometry and Topology
• Gubkin Russian State University of Oil and Gas
• Steklov Mathematical Institute of Russian Academy of Sciences
• Moscow Mathematical Society
• Moscow Mathematical Society