Prof. dr hab. Krzysztof Krupiński
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:
  • topological dynamics methods in model theory
  • 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.
  • J. Dobrowolski, K. Krupiński, On $\omega$-categorical, generically stable groups pdf, Journal of Symbolic Logic (77), 1047-1056, 2012.
  • J. Dobrowolski, K. Krupiński, On $\omega$-categorical, generically stable groups and rings pdf, Annals of Pure and Applied Logic (164), 802-812, 2013.
  • K. Krupiński, F. Wagner, Small, nm-stable compact G-groups pdf, Israel Journal of Mathematics (194), 907-933, 2013.
  • K. Krupiński, P. Tanović, F. Wagner, Around Podewski's conjecture pdf, Fundamenta Mathematicae (222), 175-193, 2013.
  • K. Krupiński, A. Pillay, S. Solecki, Borel equivalence relations and Lascar strong types pdf, Journal of Mathematical Logic (13), 1350008 (37 pages), 2013.
  • J. Dobrowolski, K. Krupiński, Locally finite profinite rings pdf, Journal of Algebra (401), 161-178, 2014.
  • T. Gogacz, K. Krupiński, On regular groups and fields pdf, Journal of Symbolic Logic (79), 826-844, 2014.
  • K. Krupiński, Superrosy fields and valuations pdf, Annals of Pure and Applied Logic (166), 342-357, 2015.
  • J. Gismatullin, K. Krupiński, On model-theoretic connected components in some group extensions pdf, Journal of Mathematical Logic (15), 1550009 (51 pages), 2015.
  • K. Krupiński, T. Rzepecki, Smoothness of bounded invariant equivalence relations pdf, Journal of Symbolic Logic (81), 326-356, 2016.
  • K. Krupiński, A. Pillay, Generalized Bohr compactification and model-theoretic connected components pdf, Mathematical Proceedings of the Cambridge Philosophical Society, accepted.
  • K. Krupiński, Definable topological dynamics pdf, Journal of Symbolic Logic, accepted.
  • K. Krupiński, A. Pillay, T. Rzepecki, Topological dynamics and the complexity of strong types pdf, submitted.
  • K. Krupiński, A. Pillay, Amenability, definable groups, and automorphism groups pdf, submitted.
  • K. Krupiński, L. Newelski, P. Simon, Boundedness and absoluteness of some dynamical invariants in model theory pdf, submitted.

Work in progress

  • Borel complexity of the relation of being in the same Lascar strong type, model theoretic connected components (collaboration with I. Kaplan and T. Rzepecki).
  • Topological dynamics in model theory (collaboration with A. Pillay and with L. Newelski and P. Simon).
  • Rosy groups and fields with NIP.
  • $\omega$-categorical groups (collaboration with D. Macpherson).
  • Model-theoretic connected components (collaboration with J. Gismatullin).

Detailed CV

Szczegółowy życiorys


Algebra Liniowa II R

Konsultacje: srody, 14.30-16.00, pokój 507. Prosze o informacje przez e-mail najpozniej w przeddzien konsultacji, jesli ktos planuje na nie przyjsc.
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