 
Dr. Yurii Khomskii
Amsterdam University College
Room 2.27
Science Park 113
1098 XG Amsterdam
The Netherlands
EMail: yurii@deds.nl
Lecturer and Academic Tutor


Universität Hamburg
Room 409
Fachbereich Mathematik
Bundesstraße 55 (Geomatikum)
20146 Hamburg
Germany
Privatdozent


Institute of Logic, Language and Computation
Universiteit van Amsterdam
SP107 F1.22C
Science Park 107
1098 XG Amsterdam
The Netherlands
Guest researcher 

I am a researcher, lecturer and academic tutor. My affiliations are
My research interests are in mathematical logic and set theory, specifically the
structure of the real line, regularity properties of sets of reals, descriptive set theory and forcing, as well as the generalized real numbers and generalized Baire spaces.
I obtained my PhD at the
University of Amsterdam in 2012, under the supervision of Prof. Benedikt Löwe and Prof. Jörg Brendle. I obtained my Habilitation at Hamburg University in 2018.
Previously, I was a postdoctoral researcher at the
Kurt Gödel Research Center for
Mathematical Logic at the University of Vienna, a postdoctoral researcher at Hamburg University, and a Marie SklodowskaCurie research fellow at Hamburg University.
My complete CV can be found here.
Publications
Papers
 A General Setting for the Pointwise Investigation of Determinacy, Proceedings of the Third Indian Conference on Logic
and Applications, (Eds.) R. Ramanujam and Sundar Sarukkai, Springer LNAI 5378, 2009, pp 187197.
 William of Sherwood, Singular Propositions and the Hexagon of Opposition, JeanYves Beziau and Gillman Payette (eds.), New Perspectives
on the Square of Opposition, Peter Lang, Bern, 2010.
 Polarized partitions on the second level of the projective hierarchy, with Jörg Brendle, Annals of Pure and Applied Logic 163, 2012. pp 13451357.
 Mad families constructed from perfect almost disjoint families, with Jörg Brendle, Journal of Symbolic Logic 78:4 , pp. 11641180.
 Coanalytic mad families and projective wellorders, with Vera Fischer and Sy Friedman, Archive for Mathematical Logic 52:78, 2013, pp 809822.
 Projective Hausdorff gaps, Archive for Mathematical Logic 53:12, 2014, pp 5764.
 Cichon's diagram, regularity properties and Δ^{1}_{3} sets of reals, with Vera Fischer and Sy Friedman, Archive for Mathematical Logic 53:56, 2014, pp 695729.
 Measure, category, and projective wellorders, with Vera Fischer and Sy Friedman, Journal of Logic and Analysis 6, Paper 8, 2014 (25 pp)
 Regularity properties on the generalized reals, with Sy Friedman and Vadim Kulikov,
Annals of Pure and Applied Logic 167:4, 2016, pp 408430
 Questions on Generalised Baire Spaces,
with Giorgio Laguzzi, Benedikt Löwe and Ilya Sharankou, Mathematical Logic Quarterly 62:45, August 2016,
pp 439456.
 Almost disjoint refinements and mixing reals,
with Barnabas Farkas and Zoltán Vidnyánszky, Fundamenta Mathematicae 242 (2018), pp 2548.
 Fullsplitting Miller trees and infinitely often equal reals, with Giorgio Laguzzi,
Annals of Pure and Applied Logic 168:8, 2017, pp 1491–1506.
 Cofinalities of Marczewski ideals, with Jörg Brendle and
Wolfgang Wohofsky, Colloquium Mathematicum 150 (2017), pp 269279.
 FilterLaver measurability, Topology and its Applications, Volume 228, 1 September 2017, pp 208221.
 Definable maximal independent families, with Vera Fischer and Jörg Brendle, Proceedings AMS, Volume 147: 8 (2019) pp 35473557
 Bounded Symbiosis and Upwards Reflection, with Lorenzo Galeotti and Jouko Väänänen, submitted (arXiv:2007.14718 [math.LO]).
 Laver trees in the generalized Baire space, with Marlene Koelbing, Giorgio Laguzzi and Wolfgang Wohofsky, Israel Journal of Mathematics, Volume 255 (2023), pages 599620.
 Paraconsistent and Paracomplete ZermeloFraenkel Set Theory, with Hrafn Oddsson, Review of Symbolic Logic, to appear (arXiv:2210.00057 [math.LO]).
 Dual Distributivity Numbers, with Marlene Koelbing and Wolfgang Wohofsky, in preparation.
 Eventually Unpredictable Reals, in preparation.
Theses
 Banach Algebras, Bachelor Thesis, Leiden University. (Supervisor: Dr. Marcel de Jeu)
 Regularity Properties and Determinacy, Master Thesis, University of Amsterdam. (Supervisor: Dr. Benedikt Löwe)
 Regularity Properties and Definability in the Real Number Continuum, PhD Thesis, University of Amsterdam, 2012. ILLC Dissertation Series DS2012
04. (Supervisor: Benedikt Löwe, cosupervisor: Jörg Brendle)
 Habilitationsschrift: Cardinal Characteristics, Regularity Properties, Definability and the Structure of the
Real Line and the Generalised Real Line
Teaching
At the Amsterdam University College, I teach or have taught the following courses:
 Mathematical Logic
 Linear Algebra
 Logic, Information, Argumentation
 Calculus
 Statistics for Sciences
 Calculus for Economics
In addition, I guide intensive student seminars at Hamburg University on various topics in mathematics, and regularly teach group and individual projects in advanced Set Theory at the ILLC.
Links to recent courses and projects:
Latest update: 18.01.2024