Barnabás Farkas Department of Algebra, Institute of Mathematics Budapest University of Technology and Economics Egry József u. 1, H-5 H-1111 Budapest, Hungary E-mail: barnabasfarkas@gmail.com Teaching / Oktatás

Research interests: set theory, in particular

• structure of the real line and cardinal invariants of the continuum;
• Borel relations and Borel Galois-Tukey connections between these relations;
• combinatorics of natural numbers and analytic P-ideals;
• forcing problems and methods related to these topics.

Curriculum vitae: pdf

Papers

[1] More on cardinal invariants of analytic P-ideals (with Lajos Soukup),
Comment. Math. Univ. Carolin. 50 (2009), no. 2, pages 281-295, pdf, abstract.

[2] Hechler's theorem for tall analytic P-ideals,
to appear in J. Symbolic Logic, pdf, abstract.

[3] Forcing indestructible extensions of almost disjoint families,
to appear in Acta Univ. Carolin. Math. Phys., Proceedings of Winter School 2010, pdf, abstract.

[4] Cardinal coefficients associated to certain orders on ideals (with Piotr Borodulin--Nadzieja),
to appear in Arch. Math. Logic, pdf, abstract.

[5] Covering properties of ideals (with Marek Balcerzak and Szymon Glab),
submitted to J. Symbolic Logic, pdf, abstract.

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Slides and posters

Second European Set Theory Meeting, Mathematical Research and Conference Center, Bedlewo, Poland, 6-10 July, 2009.
Combinatorics of analytic P-ideals and related forcing problems, poster