Barnabás Farkas I am a postdoc, leader of the FWF project no. I 5918, and a member of the Set Theory Research Group (head: Martin Goldstern) of the Institute of Discrete Mathematics and Geometry, TU Wien Email: barnabasfarkas@gmail.com Mailing address: DMG/Algebra, TU Wien Wiedner Hauptstrasse 8-10/104, 1040 Vienna, Austria

Research interest: Combinatorics and cardinal invariants of ideals on countable sets, geometry of combinatorial Banach spaces, and methods of forcing related to these subjects.

In preparation:

[xx] Duality between combinatorial Banach spaces, with Piotr Borodulin--Nadzieja.
[xx] Killing ideals softly, with Aleksander Cieślak and Lyubomyr Zdomskyy.
[xx] A general preservation theorem for the Hechler forcing.
[xx] How much P-ideal Dichotomy do we really need?

Submitted/accepted/published papers:

[12] The Zoo of combinatorial Banach spaces, with Piotr Borodulin--Nadzieja, Sebastian Jachimek, and Anna Pelczar-Barwacz, accepted to Studia Math.
[11] More on halfway new cardinal characteristics, with Lukas Daniel Klausner and Marc Lischka, J. Symbolic Logic (2023).
[10] Analytic P-ideals and Banach spaces, with Piotr Borodulin--Nadzieja, J. Funct. Anal. 279 (2020), no. 8.
[9] Ways of destruction, with Lyubomyr Zdomskyy, J. Symbolic Logic 87 (2022), no. 3, pages 938--966, link.
[8] Towers in filters, cardinal invariants, and Luzin type families, with Jörg Brendle and Jonathan Verner, J. Symbolic Logic 83 (2018), no. 3, pages 1013--1062, link.
[7] Almost disjoint refinements and mixing reals, with Yurii Khomskii and Zoltán Vidnyánszky, Fund. Math. 242 (2018), pages 25--48, link.
[6] Representations of ideals in Polish groups and in Banach spaces, with Piotr Borodulin--Nadzieja and Grzegorz Plebanek, J. Symbolic Logic 80 (2015), no. 4, pages 1268--1289, link.
[5] Covering properties of ideals, with Marek Balcerzak and Szymon Glab, Arch. Math. Logic 52 (2013), no. 3-4, pages 279--294, link.
[4] Cardinal coefficients associated to certain orders on ideals, with Piotr Borodulin--Nadzieja, Arch. Math. Logic 51 (2012), pages 187--202.
[3] Hechler's theorem for tall analytic P-ideals, J. Symbolic Logic 76 (2011), no. 2, pages 729--736, link.
[2] Forcing indestructible extensions of almost disjoint families, Acta Univ. Carolin. Math. Phys. 51 (2010), Proceedings of Winter School 2010, pages 9--12.
[1] More on cardinal invariants of analytic P-ideals, with Lajos Soukup, Comment. Math. Univ. Carolin. 50 (2009), no. 2, pages 281--295.