
Dr. Yurii Khomskii
Universität Hamburg
Fachbereich Mathematik
Bereich Mathematische Logik und interdisziplinäre Anwendungen der Logik
Bundesstraße 55 (Geomatikum)
20146 Hamburg
Room 409
Tel: +49 40 428383313
EMail: yurii@deds.nl


I am a Marie SklodowskaCurie research fellow at the University of Hamburg,
in the Mathematical Logic group
headed by Prof. Benedikt Löwe.
Prior to that, I was a postdoctoral researcher at the
Kurt Gödel Research Center for
Mathematical Logic at the University of Vienna, under leadership of
Prof. Sy David Friedman.
I obtained my PhD at the
University of Amsterdam, under the supervision of Benedikt Löwe and Jörg Brendle.
I obtained my Habilitation at the University of Hamburg in April 2018.
My research interests are in mathematical logic and set theory, specifically the
structure of the real line, descriptive set theory and forcing.
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, to appear.
 Definable maximal independent families, with Vera Fischer and Jörg Brendle, Proceedings AMS, to appear.
 Laver trees in the generalized Baire space, with Marlene Koelbing, Giorgio Laguzzi and Wolfgang Wohofsky, in preparation.
 Symbiosis and Upwards Reflection, with Lorenzo Galeotti and Jouko Väänänen, in preparation.
 Eventually different trees, 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
 January 2019
 Fall 2018
 June 2018
 Advanced Topics in Set Theory, June Project, ILLC.
 January 2018
 June 2017
 Spring 2016
 Fall 2013
 June 2013
 Fall 2011
 Spring 2011
 Summer 2010
 Fall 2008
 Spring 2008
 Fall 2007
Organizational activities
In the past, I have organized the following academic activites:
Latest update: 28.05.2018