Research interests

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

Papers

Published articles:

  1. J. Dobrowolski, R. Mennuni, The Amalgamation Property for automorphisms of ordered abelian groups, Transactions of the American Mathematical Society, doi:10.1090/tran/9217, 2024.

  2. J. Dobrowolski, D. Hoffmann, On rank not only in NSOP1 theories, Journal of Symbolic Logic, doi:10.1017/jsl.2024.9, 2024.

  3. M. Bays, J. Dobrowolski, T. Zou, Elekes-Szabó for groups, and approximate subgroups in weak general position, Discrete Analysis (2023:6), 28 p., 2023.

  4. J. Dobrowolski, Sets, groups, and fields definable in vector spaces with a bilinear form, Annales de l'Institut Fourier (73), 1795-1841, 2023.

  5. J. Dobrowolski, M. Kamsma, Kim-independence in positive logic, Model Theory (1), 55-113, 2022.

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

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

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

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

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

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

  13. 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.

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

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

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

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

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

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

Submitted articles:

  1. M. Bays, J. Dobrowolski, T. Zou, Elekes-Szabó for collinearity on cubic surfaces, arXiv:2212.14059, 2022.

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