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 42838-3313

I am a lecturer at the Amsterdam University College and Privatdozent at Hamburg University, in the Mathematical Logic group headed by Prof. Benedikt Löwe. Prior to that, I was a Marie Sklodowska-Curie research fellow in Hamburg and 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 in 2012, under the supervision of Benedikt Löwe and Jörg Brendle, and my Habilitation at the University of Hamburg in 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.



  1. 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 187--197.
  2. William of Sherwood, Singular Propositions and the Hexagon of Opposition, Jean-Yves Beziau and Gillman Payette (eds.), New Perspectives on the Square of Opposition, Peter Lang, Bern, 2010.
  3. Polarized partitions on the second level of the projective hierarchy, with Jörg Brendle, Annals of Pure and Applied Logic 163, 2012. pp 1345-1357.
  4. Mad families constructed from perfect almost disjoint families, with Jörg Brendle, Journal of Symbolic Logic 78:4 , pp. 1164-1180.
  5. Co-analytic mad families and projective well-orders, with Vera Fischer and Sy Friedman, Archive for Mathematical Logic 52:7-8, 2013, pp 809-822.
  6. Projective Hausdorff gaps, Archive for Mathematical Logic 53:1-2, 2014, pp 57-64.
  7. Cichon's diagram, regularity properties and Δ13 sets of reals, with Vera Fischer and Sy Friedman, Archive for Mathematical Logic 53:5-6, 2014, pp 695-729.
  8. Measure, category, and projective well-orders, with Vera Fischer and Sy Friedman, Journal of Logic and Analysis 6, Paper 8, 2014 (25 pp)
  9. Regularity properties on the generalized reals, with Sy Friedman and Vadim Kulikov, Annals of Pure and Applied Logic 167:4, 2016, pp 408-430
  10. Questions on Generalised Baire Spaces, with Giorgio Laguzzi, Benedikt Löwe and Ilya Sharankou, Mathematical Logic Quarterly 62:4-5, August 2016, pp 439-456.
  11. Almost disjoint refinements and mixing reals, with Barnabas Farkas and Zoltán Vidnyánszky, Fundamenta Mathematicae 242 (2018), pp 25-48.
  12. Full-splitting Miller trees and infinitely often equal reals, with Giorgio Laguzzi, Annals of Pure and Applied Logic 168:8, 2017, pp 14911506.
  13. Cofinalities of Marczewski ideals, with Jörg Brendle and Wolfgang Wohofsky, Colloquium Mathematicum 150 (2017), pp 269-279.
  14. Filter-Laver measurability, Topology and its Applications, to appear.
  15. Definable maximal independent families, with Vera Fischer and Jörg Brendle, Proceedings AMS, Volume 147: 8 (2019) pp 3547-3557
  16. Laver trees in the generalized Baire space, with Marlene Koelbing, Giorgio Laguzzi and Wolfgang Wohofsky, Preprint 2019
  17. Symbiosis and Upwards Reflection, with Lorenzo Galeotti and Jouko Väänänen, in preparation.
  18. Eventually different trees, in preparation.


  1. Banach Algebras, Bachelor Thesis, Leiden University. (Supervisor: Dr. Marcel de Jeu)
  2. Regularity Properties and Determinacy, Master Thesis, University of Amsterdam. (Supervisor: Dr. Benedikt Löwe)
  3. Regularity Properties and Definability in the Real Number Continuum, PhD Thesis, University of Amsterdam, 2012. ILLC Dissertation Series DS-2012- 04. (Supervisor: Benedikt Löwe, co-supervisor: Jörg Brendle)
  4. Habilitationsschrift: Cardinal Characteristics, Regularity Properties, Definability and the Structure of the Real Line and the Generalised Real Line

Notes and course material

Slides to talks


Organizational activities

Latest update: 10.06.2019