Conferences (with talk): Malcev meeting (Russia, Novosibirsk 2007–2011), Geometric and Asymptotic group Theory with Application 2009 (USA, Hoboken).
Workshops (with talk): "Makanin–Razborov Algorithm" (Italy, Alagna, 2008), "New Algebraic-Logic Methods in Solutions for Systems of Equations in Algebraic Structures" (Russia, Omsk, 2009).
Main publications:
Shevlyakov A. N., “Commutative Idempotent Semigroups at the Service of Universal Algebraic Geometry”, Southeast Asian Bulletin of Mathematics, 35 (2011), 111–136
A. N. Shevlyakov, “Algebraic geometry over Boolean algebras in the language with constants”, J. Math. Sci., 206:6 (2015), 742–757
2.
A. N. Shevlyakov, “Elements of algebraic geometry over a free semilattice”, Algebra and Logic, 54:3 (2015), 258–271
3.
A. N. Shevlyakov, “Combining solutions for systems equations in semigroups with finite ideal”, Algebra and Logic, 55:1 (2016), 58–71
4.
A. N. Shevlyakov, “Equivalent equations in semilattices”, Sib. Èlektron. Mat. Izv., 13 (2016), 478–490
5.
A. N. Shevlyakov, “Unifying solutions to systems of equations in finite simple semigroups”, Algebra and Logic, 53:1 (2014), 70–83
6.
A. Shevlyakov, “Algebraic geometry over the monoid of natural numbers. Irreducible algebraic sets”, Proceedings of the Institute of Mathematics and Mechanics (Trudy Instituta Matematiki I Mekhaniki), 16:2 (2010), 258-269
7.
Artem N. Shevlyakov, “Equationally extremal semilattices”, Zhurn. SFU. Ser. Matem. i fiz., 10:3 (2017), 298–304
A. N. Shevlyakov, “Finite submonoids of free left regular bands with unit”, Algebra and Logic, 59:6 (2021), 456–470
9.
A. Shevlyakov A. Nikitin, “On radicals over strict partial order sets”, J. Phys.: Conf. Ser., 1791 (2021), 012080 , 6 pp.
10.
A. Shevlyakov, “On direct product of algebraic sets over groups”, J. Phys.: Conf. Ser., 1791 (2021), 012086 , 6 pp.
11.
A.N. Shevlyakov, “Weakly equationally Noetherian trees II”, Journal of Physics: Conference Series, 1441 (2020), 012169 , 6 pp.
12.
A.Yu. Nikitin, A.N. Shevlyakov, “On radicals of system of equations over linear strict posets”, Journal of Physics: Conference Series, 1441 (2020), 012156 , 7 pp.
13.
A. Shevlyakov, “On group automorphisms in universal algebraic geometry”, Groups, Complexity, Cryptology, 11:2 (2019), 115–122
14.
A. Shevlyakov, “Weakly equationally Noetherian trees”, J. Phys.: Conf. Ser., 1210 (2019), 012127 , 8 pp.
15.
A.N. Shevlyakov, M.A.Vakhrameev, “On equations over Brandt semigroups”, Journal of Phisics, 1050 (2018), 012079 , 4 pp.
A.N. Shevlyakov, “ALGEBRAIChESKAYa GEOMETRIYa NAD GRUPPAMI V PREDIKATNOM YaZYKE”, Vestnik Omskogo Universiteta, 23:4 (2018), 60–63
18.
A.N. Shevlyakov, “Logical aspects of machine learning”, Journal of Phisics, 1050 (2018), 012078 , 4 pp.
19.
A. N. Shevlyakov, “On disjunctions of algebraic sets in completely simple semigroups”, Communications in Algebra, 45:9 (2017), 3757–3767
20.
A. Shevlyakov, M. Shahryary, “Direct products, varieties, and compactness conditions”, Groups Complexity Cryptology, 9:2 (2017), 159–166
21.
A. N. Shevlyakov, “Universal algebraic geometry with relation $\not=$”, Algebra and Logic, 55:4 (2016), 330–339
22.
A. N. Shevlyakov, “On irreducible algebraic sets over linearly ordered semilattices”, Groups, Complexity, Cryptology, 8:2 (2016), 187-196
23.
A. N. Shelyakov, “Ob ob'edinenii reshenii sistem uravnenii v kliffordovykh polugruppakh”, Vestnik Omskogo universiteta, 3 (2014), 18–21
24.
A. N. Shevlyakov, “Equations over completely simple semigroups”, Algebra and Logic, 53:6 (2015), 520–524
25.
A.N. Shevlyakov, “Ob ob'edinenii reshenii sistem uravnenii v polugruppovom yazyke bez konstant”, Vestnik omskogo gosudarstvennogo universiteta, 4 (2013), 60-62
26.
A.N. Shevlyakov, “Ob ob'edinenii reshenii sistem uravnenii v inversnykh polugruppakh”, Vestnik omskogo gosudarstvennogo universiteta, 4 (2013), 63–66
27.
A. N. Shevlyakov, “Nullstellensatz i monoid naturalnykh chisel”, Vestnik Omskogo universiteta, 2 (2011), 49-55
28.
Artem N. Shevlyakov, “Commutative Idempotent Semigroups at the Service of Universal Algebraic Geometry”, Southeast Asian Bulletin of Mathematics, 35 (2011), 111-136
29.
Shevlyakov A. N., “Algebraic geometry over linear ordered semilattices”, Algebra and Model Theory 8, ISBN 978-5-7782-1819-2, eds. A.G. Pinus, K.N. Ponimarev, S.V. Sudoplatov and E.I. Timoshenko, Novosibirsk State Technical University, Novosibirsk, 2011, 116–131
Artem N. Shevlyakov, “Algebraic geometry over the additive monoid of natural numbers: The classifcation of coordinate monoids 2(1), p. 91-111,2010”, Groups, Complexity and Cryptology, 2:1 (2010), 91–111
32.
Pavel V. Morar, Artem N. Shevlyakov, “Algebraic Geometry over the Additive Monoid of Natural Numbers: Systems of Coefficient Free Equations”, Combinatorial and Geometric Group Theory: Dortmund and Carleton Conferences, Birkhäuser, 2010, 261–278
Новые проблемы алгебры и логики. Юбилейное 900-е заседание семинара V. N. Remeslennikov, A. N. Rybalov, A. N. Shevlyakov, D. V. Solomatin, L. M. Martynov, G. A. Noskov, A. V. Treyer, A. N. Zubkov, V. P. Il'ev, V. M. Gichev Omsk Algebraic Seminar November 12, 2015 16:00