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
R. S. Avdeev, “On solvable spherical subgroups of semisimple algebraic groups”, Transactions of the Moscow Mathematical Society, 2011, 1–44 , arXiv: 1102.4595
R. S. Avdeev, A. V. Petukhov, “Spherical actions on flag varieties”, Sbornik: Mathematics, 205:9 (2014), 1223–1263 , arXiv: 1401.1777
Roman Avdeev, “Strongly solvable spherical subgroups and their combinatorial invariants”, Selecta Mathematica. New Series, 21:3 (2015), 931-993 , arXiv: 1212.3256
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