Combinatorial and geometric constructions associated with the Kostant cascade, J. Lie Theory, 33, no. 2 (2023), 497--526
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Automorphisms of finite order, periodic contractions, and Poisson-commutative subalgebras of S(g), Math. Zeitschrift, 303, no. 2 (2023), Article 51.
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Reductive subalgebras of semisimple Lie algebras and Poisson commutativity, J. Symplectic Geom., 20 no. 4 (2022), 911--926
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Poisson-commutative subalgebras of S(g) associated with involutions, Intern. Math. Res. Notices, 2021, no. 23, 18367--18406.
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Periodic automorphisms, compatible Poisson brackets, and Gaudin subalgebras, Transform. Groups, 26, no. 2 (2021), 641--670
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Compatible Poisson brackets associated with 2-splittings and Poisson commutative subalgebras of S(g), J. London Math. Soc., 103, no. 4 (2021), 1577--1595.
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Nilpotent orbits and mixed gradings of semisimple Lie algebras, Indagationes Mathematicae, 32, no. 5 (2021), 1095-1114
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Casimir elements associated with Levi subalgebras of simple Lie algebras and their applications, Advances in Math., 374 (2020), Article 107390
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Takiff algebras with polynomial rings of symmetric invariants, Transformation Groups, 25, no.2 (2020), 609--624
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Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties, Math. Zeitschrift, 295 (2020), 101-127.
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Glorious pairs of roots and abelian ideals of a Borel subalgebra, J. Algebraic Combinatorics, 52 (2020), 505-525
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Abelian ideals of a Borel subalgebra and root systems, II, Algebras and Representation Theory, 23, no.4 (2020), 1487-1498
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Semi-direct products involving Sp_{2n} or Spin_n with free algebras of symmetric invariants, In: M. Gorelik, V. Hinich, A. Melnikov (Eds.): ``Representations and Nilpotent Orbits of Lie Algebraic Systems: In Honour of the 75th Birthday of Tony Joseph"", Progress in Math. 330, Basel Birkhäuser 2019, 441-470.
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Nilpotent subspaces and nilpotent orbits, J. Austral. Math. Soc., 106 (2019), 104-126
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On seaweed subalgebras and meander graphs in type D, J. Pure Applied Algebra, 222, no. 11 (2018), 3414-3431
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Symmetric invariants related to representations of exceptional simple groups, Труды Моск. Матем. Об-ва, т.78 (2017), вып. 2, с.195--207
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Abelian ideals and amazing roots, Intern. J. Math., 28, no. 14 (2017), 1750105 (9 pages)
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Semi-direct products of Lie algebras and covariants, J. Algebra, 290 (2017), 283-315.
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On the orbits of a Borel subgroup in abelian ideals, Transformation Groups, 22, no.2 (2017), 503-524.
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On seaweed subalgebras and meander graphs in type C, Pacific J. Math., 285, no.2 (2016), 485--499.
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On Lusztig’s q-analogues of all weight multiplicities of a representation, In: W. Ballmann, C. Blohmann, G. Faltings, P. Teichner, D. Zagier (Eds.): ``Arbeitstagung Bonn 2013. In Memory of Friedrich Hirzebruch", Progr. Math. 319, Birkhäuser 2016, 289-305.
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Weight posets associated with gradings of simple Lie algebras, Weyl groups, and arrangements of hyperplanes, J. Algebraic Combinatorics, 44, no. 2 (2016), 325--344.
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Normalisers of abelian ideals of Borel subalgebras and Z-gradings of a simple Lie algebra, J. Lie Theory, 26 (2016), 659-672.
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Minimal inversion complete sets and maximal abelian ideals, J. Algebra, 445 (2016), 163-180.
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Antichains in weight posets associated with gradings of simple Lie algebras, Math. Zeitschrift, 281, no.3-4 (2015), 1191-1214.
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The Dynkin index and sl₂-subalgebras of simple Lie algebras, J. Algebra, 430 (2015), 15-25.
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Abelian ideals of a Borel subalgebra and root systems, J. European Math. Soc., 16, no.12 (2014), 2693-2708.
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On maximal commutative subalgebras of Poisson algebras associated with involutions of semisimple Lie algebras, Bull. Sci. Math., 138, no.6 (2014), 705-720.
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Wide subalgebras of semisimple Lie algebras, Algebras and Representation Theory, 17, no.3 (2014), 931-944.
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Commuting involutions of Lie algebras, commuting varieties, and simple Jordan algebras, Algebra and Number Theory, 7, no.6 (2013), 1505-1534.
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Parabolic contractions of semisimple Lie algebras and their invariants, Selecta Math. (New Series), 19, no.3 (2013), 699-717.
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Commuting involutions and degenerations of isotropy representations, Transformation Groups, 8, no.2 (2013), 507-537.
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On a remarkable contraction of semisimple Lie algebras, Ann. Inst. Fourier, 62, no.6 (2012), 2053-2068.
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Two covering polynomials of a finite poset, with applications to root systems and ad-nilpotent ideals, Journal of Combinatorics, 3 (2012), 63-89.
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Quotients by actions of the derived group of a maximal unipotent subgroup, Pacific Journal of Mathematics, 256 (2012), 381-405.
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Invariant theory of little adjoint modules, J. Lie Theory, 22 (2012), 803-816.

Invariants of a maximal unipotent subgroup and equidimensionality, Bulletin des sciences mathématiques 136 (2012), 149-161.
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Abelian ideals of a Borel subalgebra and subsets of the Dynkin diagram, J. Algebra, 344 (2011), 197-204.
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Fredman’s reciprocity, invariants of abelian groups, and the permanent of the Cayley table, J. Algebraic Combin., 33 (2011), 111-125.
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The work of Vladimir Morozov on Lie algebras, Transformation Groups, 15 (2010), 1001-1013.
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On divisible weighted Dynkin diagrams and reachable elements, Transformation Groups, 15 (2010), 983-999.
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Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles, Selecta Math. (New Ser)., 16 (2010), 315–342.
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Actions of the derived group of a maximal unipotent subgroup on $G$-varieties, Intern. Math. Res. Notices 2010, no. 4 (2010), 674-700.

Properties of weight posets for weight multiplicity free representations, Moscow Math. J. , 9, no. 4 (2009), 867--883.

On the Dynkin index of a principal sl(2)-subalgebra, Adv. Math., 221, no.4 (2009), 1115-1121.

Periodic automorphisms of Takiff algebras, contractions, and θ-groups, Transformation Groups, 14 , no.2 (2009), 463-482.

On orbits of antichains of positive roots, Europ. J. Combinatorics, 30, no.2 (2009), 586-594.

Adjoint vector fields and differential operators on representation spaces, Bull. London Math. Soc., 40, no.6 (2008), 1045-1064.

The argument shift method and maximal commutative subalgebras of Poisson algebras, Math. Res. Letters, 15 (2008), 239-249.