Publications and Preprints

This is my publication list, including preprints (click on the titles to toggle downloading options). To look at other kinds of manuscripts of mine, click on Manuscripts. You can also check out my profiles at zbMATH and Google Scholar.

Submitted preprints

Published and accepted research papers

Hindman's Theorem in the hierarchy of Choice Principles, Journal of Mathematical Logic 24 no. 1 (2024), 2350002.
(With Lorenzo Carlucci): The adjacent Hindman's theorem for uncountable groups, Colloquium Mathematicum 173 no. 2 (2023), 273-284.
Using ultrafilters to prove Ramsey-type theorems, American Mathematical Monthly 129 no. 2 (2022), 116-131.
(With Nicholas G. Vlamis, and an appendix with Mathieu Baillif): Ends of non-metrizable manifolds: a generalized bagpipe theorem, Topology and its Applications 310 (2022), 108017.
(With Gerardo Acosta): Equicontinuous mappings on finite trees, Fundamenta Mathematicae 254 no. 2 (2021), 215-240.
(With Joshua Brot and Mengyang Cao): Finiteness classes arising from Ramsey-theoretic statements in set theory without choice, Annals of Pure and Applied Logic, 172 no. 6 (2021), 102961.
(with Sung Hyup Lee): Hindman-like theorems with uncountably many colours and finite monochromatic sets. Proceedings of the American Mathematical Society 148 no. 7 (2020), 3099-3112.
Stable ordered union ultrafilters and $\mathrm{cov}(\mathcal{M})<\mathfrak c$. Journal of Symbolic Logic 84 no. 3 (2019), 1176-1193.
(With Elizabeth Lauri): A characterization of the Boolean Prime Ideal theorem in terms of forcing notions. Fundamenta Mathematicae 245 no. 1 (2019), 25-38.
(With Michael Hrušák): A parametrized diamond principle and union ultrafilters. Colloquium Mathematicum 153 no. 2 (2018), 261-271.
Hindman's Theorem is only a countable phenomenon. Order, 35 (2018), 83-91.
(With Assaf Rinot): Strong failures of higher analogs of Hindman's theorem. Transactions of the American Mathematical Society 369 no. 12 (2017), 8939-8966.
(With Michael Hrušák): Gruff ultrafilters. Topology and its Applications 210 (2016), 355-365; as well as a corrigendum to this paper (Topol. Appl. 231 (2017), 430-431).
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- From the Journal's website (paywalled): the paper and the corrigendum.
- Download from the arXiv (paper and corrigendum together).
(With Martino Lupini): Strongly productive ultrafilters on semigroups. Semigroup Forum 92 (2016), 242-257.
Strongly Summable Ultrafilters, Union Ultrafilters, and the Trivial Sums Property. Canadian Journal of Mathematics 68 (2016), 44-66.
Every strongly summable ultrafilter on $\bigoplus\mathbb Z_2$ is sparse, New York Journal of Mathematics 19 (2013), 117-129.

Theses

Expository articles

"Un problema de álgebra que resultó indecidible", in Juan Angoa et. al. (eds.), Topología y Sistemas Dinámicos IV, Benemérita Universidad Autónoma de Puebla, 2011; pp. 91-112.
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Reviews for Mathematical Reviews (MathSciNet) or Zentralblatt

[Zbl 07303626] Hindman, N. and Pleasant, K.; Central sets theorem for arbitrary adequate partial semigroups. Topol. Proc. 58 (2021), 183-206.
[MR4030955] Tachtsis, E.; Łoś's theorem and the axiom of choice. MLQ Math. Log. Q. 65 (2019), no. 3, 280-292.
[Zbl 07150826] Chentsov, A. G.; Bitopological spaces of ultrafilters and maximal linked systems. (English. Russian original) Proc. Steklov Inst. Math. 305, Suppl. 1, S24-S39 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 1, 257-272 (2018).
[Zbl 06908765] Xu, X.; Liang, M.; and Luo, H.; Ramsey theory. Unsolved problems and results.. De Gruyter (ISBN 978-3-11-057651-1/hbk; 978-3-11-057670-2/ebook). xii, 178 pp. Berlin, 2018.
[MR3941152] Mermelstein, O.; Calculating the closed ordinal Ramsey number $R^{cl}(\omega\cdot 2,3)$.. Israel J. Math. 230 (2019), no. 1, 387-407.
[MR3835077] Tachtsis, E.; On the set-theoretic strength of Ellis' theorem and the existence of free idempotent ultrafilters on $\omega$. J. Symb. Log. 83 (2018), no. 2, 551-571.
[MR3700856] Brendle, J.; Q. Sets and computations (Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap., 33), NJ, 2018, pp. 1--10.
[Zbl 06735264] Guerrero Sánchez, D; and Tkachuk, V. V.; If $C_p(X)$ is strongly dominated by a second countable space, then $X$ is countable. J. Math. Anal. Appl. 454 no. 2 (2017), 533-541.
[MR3633221] Viale, M.; Forcing the truth of a weak form of Schanuel's conjecture. Confluentes Math. 8 (2016), no. 2, 59-83.
[MR3552290] Juhász, I.; Soukup, L.; and Szentmiklóssy, Z.; Pinning down versus density. Israel J. Math. 215 (2016), no. 2, 583–605.
[Zbl 06506061] Shelah, S.; Spinas, O.; Mad spectra. J. Symb. Log. 80 (2015), 901-916.
[Zbl 06517543] Dow, A.; Generalized side-conditions and Moore-Mrówka. Topology Appl. 197 (2016), 75-101.
[MR3459883] Herrlich, H.; Howard, P.; and Tachtsis, E.; On a certain notion of finite and a finiteness class in set theory without choice. Bull. Pol. Acad. Sci. Math. 63 no. 2 (2015), 89-112.
[MR3433520] Gavryushkin, A.; Khoussainov, B.; and Stephan, F.; Reducibilities among equivalence relations induced by recursively enumerable structures. Theoret. Comput. Sci. 612 (2016), 137-152.
[MR3377354] Spinas, O. and Wyszkowski, M.; Silver Antichains. J. Symb. Log. 80 (2015), 503-519.
[Zbl 1328.03052] Usuba, T.; Characters of countably tight spaces and inaccessible cardinals. Topology Appl. 161 (2014), 95-106.