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:
  • profinite structures, profinite groups and rings regarded as profinite structures,
  • Polish structures, Polish (compact) $G$-groups regarded as Polish structures,
  • stable, simple and rosy theories, groups and fields,
  • 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, Profinte 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, accepted.
  • K. Krupiński, Some model theory of Polish structures ps, Transactions of the American Mathematical Society, accepted.
  • K. Krupiński, Fields interpretable in superrosy groups with NIP (the non-solvable case) ps, Journal of Symbolic Logic, accepted.
  • K. Krupiński, Generalizations of small profinite structures (extended version) ps, submitted.
  • K. Krupiński, A. Pillay, On stable fields and weight pdf, submitted.

Work in progress

  • Small profinite groups and rings (collaboration with F. Wagner).
  • Model theory of small Polish structures.
  • Small compact G-groups (collaboration with F. Wagner).
  • Rosy groups and fields with NIP (collaboration with A. Pillay and C. Ealy).
  • Stable fields of finite weight (collaboration with A. Pillay).
  • Minimal and quasi-minimal groups and fields.

Detailed CV

Szczegółowy życiorys