Jan Dobrowolski

Current address:
Alan Turing Building
Department of Mathematics
University of Manchester
Manchester M13 9PL, UK
Office G.112
Email: jan.dobrowolski at manchester.ac.uk


EU project GROUPNIP website
Workshop on NIP and groups

Research interests

I am interested in model theory and its connections with algebra and topology, particularly in:

Papers

    Published articles:

  1. J. Dobrowolski, K. Krupiński, On omega-categorical, generically stable groups, Journal of Symbolic Logic (77), 1047-1056, 2012.

  2. J. Dobrowolski, K. Krupiński, On omega-categorical, generically stable groups and rings, Annals of Pure and Applied Logic (164), 802-812, 2013.

  3. J. Dobrowolski, New examples of small Polish structures pdf, Journal of Symbolic Logic (78), 969-976, 2013.

  4. J. Dobrowolski, K. Krupiński, Locally finite profinite rings, Journal of Algebra, (401), 161-178, 2014.

  5. J. Dobrowolski, Topologies induced by group actions, Topology and its Applications (189), 136–146, 2015.

  6. J. Dobrowolski, H. Kim, A preservation theorem for theories without the tree property of the first kind , Mathematical Logic Quarterly (63), 536–543, 2017.

  7. J. Dobrowolski, B. Kim, J. Lee, The Lascar groups and the 1st homology groups in model theory , Annals of Pure and Applied Logic (168), 2129-2151, 2017.

  8. J. Dobrowolski, Generic variations and NTP$_1$, Archive for Mathematical Logic (57), 861–871, 2018.

  9. J. Dobrowolski, F-V. Kuhlmann, Valuation theory, generalized IFS attractors and fractals,, Archiv der Mathematik (111), 287–297, 2018.

  10. J. Dobrowolski, J. Goodrick, Some remarks on inp-minimal and finite burden groups, Archive for Mathematical Logic (58), 267–274, 2019.

  11. J. Dobrowolski, F. Wagner, On omega-categorical groups and rings of finite burden, Israel Journal of Mathematics (236), 801–839, 2020.

  12. J. Dobrowolski, D. Hoffmann, J. Lee, Elementary Equivalence Theorem for PAC structures, Journal of Symbolic Logic (85), 1467 - 1498, 2020.

  13. J. Dobrowolski, B. Kim, A. Kolesnikov, J. Lee, The relativized Lascar groups, type-amalgamation, and algebraicity, Journal of Symbolic Logic (86), 531-557, 2021.

  14. J. Dobrowolski, B. Kim, N. Ramsey, Independence over arbitrary sets in NSOP1 theories, Annals of Pure and Applied Logic (173), 2022.

  15. J. Dobrowolski, Sets, groups, and fields definable in vector spaces with a bilinear form, Annales de l'Institut Fourier, accepted, 2021.

  16. J. Dobrowolski, M. Kamsma, Kim-independence in positive logic, Model Theory, accepted, 2022.

    Submitted articles and preprints:

  17. M. Bays, J. Dobrowolski, T. Zou, Elekes-Szabó for groups, and approximate subgroups in weak general position, arXiv:2107.05547, 2021.

  18. J. Dobrowolski, D. Hoffmann, On rank not only in NSOP1 theories, arXiv:2111.02389, 2021.