Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 27.02.1986
E-mail:
Keywords: algebraic group, spherical subgroup, spherical variety, flag variety, homogeneous space, algebra of invariants, semigroup, nilpotent orbit.
UDC: 512.743, 512.745, 512.816.4, 517.986.6
MSC: 14L30, 14M15, 14M17, 14M27, 20G05, 20G07, 22E46, 43A85

Subject:

Algebraic transformation groups, spherical varieties, spherical subgroups of semisimple algebraic groups.

Main publications:

1. R. S. Avdeev, “Extended weight semigroups of affine spherical homogeneous spaces of non-simple semisimple algebraic groups”, Izvestiya: Mathematics, 74:6 (2010), 1103–1126 , arXiv: 1012.0132                    
2. R. S. Avdeev, “On solvable spherical subgroups of semisimple algebraic groups”, Transactions of the Moscow Mathematical Society, 2011, 1–44 , arXiv: 1102.4595              
3. R. S. Avdeev, A. V. Petukhov, “Spherical actions on flag varieties”, Sbornik: Mathematics, 205:9 (2014), 1223–1263 , arXiv: 1401.1777                  
4. Roman Avdeev, “Strongly solvable spherical subgroups and their combinatorial invariants”, Selecta Mathematica. New Series, 21:3 (2015), 931-993 , arXiv: 1212.3256            
5. Roman Avdeev, Stéphanie Cupit-Foutou, “New and old results on spherical varieties via moduli theory”, Advances in Mathematics, 328 (2018), 1299–1352 , arXiv: 1508.00268          

Recent publications

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• National Research University Higher School of Economics, Moscow
• Moscow Institute of Open Education
• Lomonosov Moscow State University, Faculty of Mechanics and Mathematics