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
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.
Roman Avdeev, “Strongly solvable spherical subgroups and their combinatorial invariants”, Selecta Mathematica. New Series, 21:3 (2015), 931-993 , arXiv: 1212.3256
R. S. Avdeev, A. V. Petukhov, “Spherical actions on flag varieties”, Sbornik: Mathematics, 205:9 (2014), 1223–1263 , arXiv: 1401.1777
4.
R. S. Avdeev, “On solvable spherical subgroups of semisimple algebraic groups”, Transactions of the Moscow Mathematical Society, 2011, 1–44 , arXiv: 1102.4595
5.
R. S. Avdeev, “Normalizers of solvable spherical subgroups”, Mathematical Notes, 94:1-2 (2013), 20–31 , arXiv: 1107.5175
6.
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
R. S. Avdeev and N. E. Gorfinkel, “Harmonic analysis on spherical homogeneous spaces with solvable stabilizer”, Functional Analysis and Its Applications, 46:3 (2012), 161–172 , arXiv: 1106.1070
8.
Roman Avdeev, Stéphanie Cupit-Foutou, “On the irreducible components of moduli schemes for affine spherical varieties”, Transformation Groups, 23:2 (2018), 299–327 , arXiv: 1406.1713
Roman Avdeev, Alexey Petukhov, “Branching rules related to spherical actions on flag varieties”, Algebras and Representation Theory, 23:3 (2020), 541–581 , arXiv: 1711.09801
R. S. Avdeev, “Excellent affine spherical homogeneous spaces of semisimple algebraic groups”, Transactions of the Moscow Mathematical Society, 2010, 209–240
12.
Ivan Arzhantsev, Roman Avdeev, “Root subgroups on affine spherical varieties”, Selecta Mathematica. New Series, 28:3 (2022), 60 , 37 pp., arXiv: 2012.02088
R. S. Avdeev, V. S. Zhgoon, “On the existence of $B$-root subgroups on affine spherical varieties”, Doklady Mathematics, 105:2 (2022), 51–55 , arXiv: 2112.14268
14.
Roman Avdeev, Alexey Petukhov, “Spherical actions on isotropic flag varieties and related branching rules”, Transformation Groups, 26:3 (2021), 719–774 , arXiv: 1812.00936
R. S. Avdeev, “Affine spherical homogeneous spaces with good quotient by a maximal unipotent subgroup”, Sbornik: Mathematics, 203:11-12 (2012), 1535–1552 , arXiv: 1106.5677
16.
Roman Avdeev, “Degenerations of spherical subalgebras and spherical roots”, Communications in Contemporary Mathematics, 26:6 (2024), 2350029 , 53 pp., arXiv: 1905.01169
17.
Roman Avdeev, “An epimorphic subgroup arising from Roberts' counterexample”, Indagationes Mathematicae, 23:1–2 (2012), 10–18 , arXiv: 1102.3543
18.
Roman S. Avdeev, “On extreme coefficients of the Jones–Kauffman polynomial for virtual links”, Journal of Knot Theory and Its Ramifications, 15:7 (2006), 853–868
19.
R. S. Avdeev, A. Yu. Moskvin, Mat. Pros., 12, MCCME, Moscow, 2008, 223–227