Ilya B. Shapirovsky. Satisfiability problems on sums of Kripke frames. https://arxiv.org/abs/2012.15347

S. Kikot, I. Shapirovsky, and E. Zolin. Modal logics with transitive closure: completeness, decidability, filtration. In Advances in Modal Logic, volume 13, pages 369–388, 2020. ISBN 978-1-84890-341-8. https://arxiv.org/pdf/2011.02205.pdf

D.I. Saveliev and I.B. Shapirovsky. On modal logics of model-theoretic relations. Studia Logica}, 108(5):989--1017. ArXiv: https://arxiv.org/abs/1804.09810.
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Modal logics of finite direct powers of $\omega$ have the finite model property. arXiv: https://arxiv.org/abs/1903.04614, 2019.
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I.B. Shapirovsky. Glivenko’s theorem, finite height, and local tabularity. arXiv: https://arxiv.org/abs/1806.06899
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I.B. Shapirovsky. Truth-preserving operations on sums of Kripke frames. In Advances in Modal Logic, volume 12, pages 541–558. College Publications, 2018. ISBN 978-1848902558.
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I.B. Shapirovsky and V.B. Shehtman. Contemporary modal logic: between mathematics and computer science. In D.V. Zaitsev, editor, Contemporary logic: foundations, subject, and perpectives, pages 265--305. Forum, 2018. Russian.

A.V. Kudinov and I.B. Shapirovsky. On partitioning Kripke frames of finite depth. Izvestiya: Mathematics, 81(3), 2017. In press.

D.I. Saveliev and I.B. Shapirovsky. On modal logic of submodels. In 11th Advances in Modal Logic, Short Papers, pages 115–119, 2016.

A.V. Kudinov and I.B. Shapirovsky. Finite model property of modal logics of finite depth. Russian Mathematical Surveys, 71(1):164–166, 2016.

I. Shapirovsky and V. Shehtman. Local tabularity without transitivity. In Advances in Modal Logic, volume 11, pages 520–534. College Publications, 2016. ISBN 978-1-84890-201-5.
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Philippe Balbiani and Ilya Shapirovsky. Complete axiomatizations of lexicographic sums and products of modal logics. In 7th International Conference on Topology, Algebra and Categories in Logic (TACL 2015), pages 24–26, 2015.

Ilya Shapirovsky and Evgeny Zolin. On completeness of logics enriched with transitive closure modality. In 7th International Conference on Topology, Algebra and Categories in Logic (TACL 2015), pages 255–257, 2015.

Filtration safe operations on frames. In Advances in Modal Logic 10, invited and contributed papers from the tenth conference on "Advances in Modal Logic," held in Groningen, The Netherlands, August 5-8, 2014, pages 333-352, 2014.
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Products of Modal Logics and Tensor Products of Modal Algebras. Products of modal logics and tensor products of modal algebras. Journal of Applied Logic 12 (2014), pp. 570-583

Tensor products of modal logics. In Topology, Algebra and Categories in Logic, TACL 2013, pages 198–202. Vanderbilt University, 2013.
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Andrey Kudinov, Ilya Shapirovsky and Valentin Shehtman. On Modal Logics of Hamming Spaces. In Advances in Modal Logic, volume 9, pages 395-410, London, 2012. King"s College Publications.