The full basis theorem does not imply analytic wellordering,
Annals of pure and applied logic, 2019, submitted.
SCIMAGO, Q1
SCOPUS, Q2

Canonization of smooth equivalence relations on infinite-dimensional E0-large products.
Notre Dame J. Form. Logic, 2019, to appear upon revision
SCIMAGO, Q2.

Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy.
Fundamenta mathematicae, 2019, to appear.
SCIMAGO, Q2
SCOPUS, Q2
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Borel OD sets of reals are OD-Borel in some simple models.
Proceedings of the American mathematical society, 2019, to appear.
DOI 10.1090/proc/14286
SCIMAGO, Q1
SCOPUS, Q2
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Definable minimal collapse functions at arbitrary projective levels.
Journal of Symbolic Logic, 2019 To appear.
SCIMAGO, Q1
SCOPUS, Q1

On Harrington"s model in which Separation holds but Reduction fails at the 3rd projective level, and on some related models of Sami.
arXiv:1810.12542 [math.LO], November 2018.
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A countable definable set of reals containing no definable elements,
arXiv:1408.3901v2 [math.LO], Sept. 2018, 11 p.
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A model of second-order arithmetic satisfying AC but not DC.
Journal of Math. Logic, 2018, to appear.
DOI 10.1142/S0219061318500137
SCIMAGO, Q1
SCOPUS, Q1
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A model of second-order arithmetic satisfying AC but not DC.
arXiv:1808.04732 [math.LO], August 2018.
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Definable E₀ classes at arbitrary projective levels.
Annals of Pure and Applied Logic, 2018, Vol. 169, Iss. 9, P. 851–871.
DOI: 10.1016/j.apal.2018.04.006
SCIMAGO, Q1
SCOPUS, Q2
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Canonization of smooth equivalence relations on infinite-dimensional perfect cubes.
arXiv:1804.05174 [math.LO], April 2018.
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Определимые элементы борелевских множеств.
Математические заметки, 2018, принято к печати
SCIMAGO, Q2
SCOPUS, Q3

Monotone subsequence via ultrapower.
Open Mathematics, 2018, 16, 1, c. 149-153
DOI: 10.1515/math-2018-0015
SCIMAGO, Q2
SCOPUS, Q2
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What makes a theory of infinitesimals useful? A view by Klein and Fraenkel.
Journal of Humanistic Mathematics, 2018, 8, 1, pp. 108-119.
DOI: 10.5642/jhummath.201801.07
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Cauchy"s infinitesimals, his sum theorem, and foundational paradigms.
Foundations of Science, 2018, 23, 2, pp 267–296.
DOI: 10.1007/s10699-017-9534-y
SCIMAGO, Q2
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Countable OD sets of reals belong to the ground model.
Archive for Mathematical Logic, 2018, Vol. 57, Iss. 3–4, P. 285–298.
DOI: 10.1007/s00153-017-0569-0
SCIMAGO, Q1
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Gregory"s sixth operation,
Foundations of Science, 2018, 23, 1, pp. 133--144.
DOI: 10.1007/s10699-016-9512-9
SCIMAGO, Q2
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Minimal axiomatic frameworks for definable hyperreals with transfer.
Journal of Symbolic Logic, 2018, 83, 1, pp. 385-391.
DOI: 10.1017/jsl.2017.48
SCIMAGO, Q1
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Неуниформизуемые множества второго проективного уровня со счетными сечениями в виде классов Витали.
Известия Российской академии наук. Серия математическая, 2018, том 82, № 1, стр. 65–96.
DOI: 10.4213/im8521
SCIMAGO, Q2
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Cauchy, infinitesimals and ghosts of departed quantifiers,
Mat. Stud. 2017, 47, 2, 115--144
doi:10.15330/ms.47.2.115-144
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Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy.
arXiv:1712.00769 [math.LO], December 2017.
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Definable minimal collapse functions at arbitrary projective levels.
arXiv:1707.07320 [math.LO], July 2017.
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Definable E₀ classes at arbitrary projective levels.
arXiv:1705.02975 [math.LO], May 2017.
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The full basis theorem does not imply analytic wellordering.
arXiv:1702.03566 [math.LO], February 2017.
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Генерическое свойство множества Σ по Соловею.
Сибирский математический журнал, 2017, том 58, вып. 6, стр. 1302–1305.
doi:10.17377/smzh.2017.58.610
SCIMAGO, Q2
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Approaches to analysis with infinitesimals following Robinson, Nelson, and others.
Real Analysis Exchange, 2017, 42, 2, pp. 193-252.
DOI: 10.14321/realanalexch.41.1.0193
SCIMAGO, Q3
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A positive function with vanishing Lebesgue integral in Zermelo -- Fraenkel set theory.
Real Analysis Exchange, 2017, 42, no. 2, 385-390.
DOI: 10.14321/realanalexch.42.2.0385
SCIMAGO, Q3
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Toward a history of mathematics focused on procedures,
Foundations Of Science, 2017, 22, Issue 4, pp 763–783,
DOI: 10.1007/s10699-016-9498-3 .
SCIMAGO, Q2
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Is Leibnizian calculus embeddable in first order logic?
Foundations of Science, 2017, 22, Issue 4, pp 717–731.
DOI: 10.1007/s10699-016-9495-6 .
SCIMAGO, Q2
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Interpreting the infinitesimal mathematics of Leibniz and Euler,
Journal of General Philosophy of Science, 2017, 48, issue 2, pp, 195--238.
DOI: 10.1007/s10838-016-9334-z .
SCIMAGO, Q2
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Определимое счетное множество, не содержащее определимых элементов.
Математические заметки, 2017, 102, вып. 3, стр. 369-382.
doi:10.4213/mzm10842
SCIMAGO, Q2
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Controversies on foundations of analysis: comments on Schubring’s conflicts.
Foundations of Science, 2017, 22, 1, pp. 125--140.
DOI: 10.1007/s10699-015-9473-4 .
SCIMAGO, Q2
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A Groszek-Laver pair of undistinguishable E₀-classes.
Mathematical Logic Quarterly, 2017, Vol. 63, No. 1–2, P. 19–31.
doi:10.1002/malq.201500020
SCIMAGO, Q2
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A generic property of Solovay"s set Σ.
arXiv:1611.00176 [math.LO], pp. 1-4, November 2016.
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In Cohen generic extension, every countable OD set of reals belongs to the ground model.
July 2016, arXiv:1607.02880 [math.LO] pp. 1-3.
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Countable OD sets of reals belong to the ground model.
September 2016, arXiv:1609.01032 [math.LO], pp. 1-12.
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A Non-Standard Analysis of a Cultural Icon: The Case of Paul Halmos.
Logica Universalis, 2016, 10, pp. 393-405.
DOI 10.1007/s11787-016-0153-0
SCIMAGO, Q3
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Small oscillations of the pendulum, Euler’s method, and adequality,
Quantum Studies: Mathematics and Foundations, 2016, 3, no 3, pp 231–236.
DOI: 10.1007/s40509-016-0074-x
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OD elements of countable OD sets in the Solovay model.
March 2016, arXiv:1603.04237 [math.LO], pp. 1-20.
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Some applications of finite-support products of Jensen"s minimal forcing.
Winter School in Abstract Analysis 2016, Hejnice, Czech Republic, Jan 30—Feb 6, 2016, Abstracts and slides.
http://www.winterschool.eu/files/885-Some_applications_of_finite-support_products_of_Jensens_minimal_Delta_31_forcing.pdf
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Counterexamples to countable-section $Pi^1_2$ uniformization and $Pi^1_3$ separation.
Annals of Pure and Applied Logic, 2016, 167, 3, pp. 262–283.
DOI: 10.1016/j.apal.2015.12.002
SCIMAGO, Q1
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On countable cofinality and decomposition of definable thin orderings.
Fundamenta mathematicae, 2016, 235, no 1, pp. 13-36.
DOI: 10.4064/fm977-10-2015 ,
SCIMAGO, Q2
SCOPUS, Q2
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Leibniz vs Ishiguro: closing a quarter-century of syncategoremania. The Journal of the International Society for the History of Philosophy of Science, 2016, 6, no 1, pp. 117 -- 147.
DOI: 10.1086/685645
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Some applications of finite-support products of Jensen’s minimal forcing. Book of abstracts, Logic Colloquium 2015, Annual European Summer Meeting of the Association for Symbolic Logic, University of Helsinki, 3–8 August 2015, pp. 670-671.
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“Grossone approach to Hutton and Euler transforms” Applied Mathematics and Computation, 2015, 255, pp. 36–43.
DOI: 10.1016/j.amc.2014.06.037 ,
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SCOPUS, Q1
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Euler"s lute and Edward"s oud. Mathematical Intelligencer, 2015, 37, 4, pp. 48--51.
DOI: 10.1007/s00283-015-9565-6
SCIMAGO, Q2
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A definable $E_0$ class containing no definable elements, Archive for Mathematical Logic, 2015, 54, 5, pp. 711--723.
DOI: 10.1007/s00153-015-0436-9
SCIMAGO, Q2
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Обобщение одной конструкции Соловея. Сибирский математический журнал, 2015, том 56, № 6, стр. 1341–1350.
DOI: 10.17377/smzh.2015.56.611 ,
SCIMAGO, Q2
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Proofs and retributions, Foundations of Science, 2015, 20, 1, pp 1-25.
DOI: 10.1007/s10699-013-9340-0
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Об эффективной σ-ограниченности и σ-компактности в модели Соловея. Математические заметки, 2015, том 98, вып. 2, стр. 247–257,
DOI: 10.4213/mzm10415
SCIMAGO, Q2
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