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Instytut Matematyczny Uniwersytetu Wrocławskiego Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland e-mail: kkrup@math.uni.wroc.pl |
Interests
I am interested in pure model theory and its connections with algebra and topology, particularly in:- profinite structures, profinite groups and rings regarded as profinite structures,
- Polish structures, Polish [compact] $G$-groups,
- stable, simple, rosy and NIP theories, groups and fields,
- $\omega$-categorical groups and rings,
- Lascar strong types and topological spaces of hyperimaginaries,
- model theory of fields.
Publications
- K. Krupiński, L. Newelski, On bounded type definable equivalence relations ps, Notre Dame Journal of Formal Logic (43), 231-242, 2002.
- K. Krupiński, Products of finite abelian groups as profinite groups ps, Journal of Algebra (288), 556-582, 2005.
- K. Krupiński, Abelian profinite groups ps, Fundamenta Mathematicae (185), 41-59, 2005.
- T. Blossier, K. Krupiński, A special thin type ps, Illinois Journal of Mathematics (49), 281-290, 2005.
- K. Krupiński, Profinite structures interpretable in fields ps, Annals of Pure and Applied Logic 142, 19-54, 2006.
- K. Krupiński, F. Wagner, Small profinite groups and rings ps, Journal of Algebra (306), 494-506, 2006.
- C. Ealy, K. Krupiński, A. Pillay, Superrosy dependent groups having finitely satisfiable generics pdf, Annals of Pure and Applied Logic (151), 1-21, 2008.
- K. Krupiński, Fields interpretable in rosy theories ps, Israel Journal of Mathematics (175), 421-444, 2010.
- K. Krupiński, Fields interpretable in superrosy groups with NIP (the non-solvable case) ps, Journal of Symbolic Logic (75), 372-386, 2010.
- K. Krupiński, Some model theory of Polish structures ps, Transactions of the American Mathematical Society (362), 3499-3533, 2010.
- K. Krupiński, Generalizations of small profinite structures pdf, Journal of Symbolic Logic (75), 1147-1175, 2010.
- K. Krupiński, A. Pillay, On stable fields and weight pdf, Journal of the Institute of Mathematics of Jussieu (10), 349-358, 2011.
- K. Krupiński, On relationships between algebraic properties of groups and rings in some model-theoretic contexts pdf, Journal of Symbolic Logic (76), 1403-1417, 2011.
- K. Krupiński, On $\omega$-categorical groups and rings with NIP pdf, Proceedings of the American Mathematical Society (140), 2501-2512, 2012.
- K. Krupiński, F. Wagner, Small, nm-stable compact G-groups pdf, Israel Journal of Mathematics, accepted.
- J. Dobrowolski, K. Krupiński, On $\omega$-categorical, generically stable groups pdf, Journal of Symbolic Logic, accepted.
- K. Krupiński, P. Tanović, On Podewski's conjecture pdf, submitted.
- J. Gismatullin, K. Krupiński, On model-theoretic connected components in some group extensions pdf, preprint.
- J. Dobrowolski, K. Krupiński, On $\omega$-categorical, generically stable groups and rings pdf, submitted.
- K. Krupiński, A. Pillay, S. Solecki, Borel equivalence relations and Lascar strong types pdf, submitted.
Work in progress
- Borel complication of the relation of being in the same Lascar strong type, model theoretic connected components (collaboration with A. Pillay and S. Solecki).
- Small profinite groups and rings (collaboration with F. Wagner).
- Small Polish structures.
- Rosy groups and fields with NIP.
- Stable fields of finite weight (collaboration with A. Pillay).
- Minimal and quasi-minimal groups and fields (collaboration with T. Gogacz).
- $\omega$-categorical groups and rings (collaboration with J. Dobrowolski).
- Model-theoretic connected components (collaboration with J. Gismatullin).