Thesis

Some model-theoretical and geometric properties of fields with jet operators, PhD thesis, Wrocław University, April 2001, dvi or ps or pdf

Papers

  1. Stable Groups and Algebraic Groups, J. London Math. Soc. (1) 61 (2000), 51-57
  2. (with Anand Pillay) Proalgebraic and differential algebraic group structures on affine spaces, Amer. J. Math. 122 (2000), 213-221, dvi or ps or pdf
  3. (with Marcin Chałupnik) Lazard Theorem for differential algebraic and proalgebraic groups, Pacific J. Math. (2) 202 (2002), 305-312, dvi or ps or pdf
  4. (with Anand Pillay) A Note on Groups Definable in Difference Fields, Proc. of AMS (1) 130 (2002), 205-212, dvi or ps or pdf
  5. Derivations of the Frobenius map, Journal of Symbolic Logic, (1) 70 (2005), 99-110, dvi or ps or pdf
  6. Geometric axioms for existentially closed Hasse fields, Annals of Pure and Applied Logic , 135 (2005), 286-302, dvi or ps or pdf
  7. Jet operators on fields, Journal of Algebra , 289 (2005), 312-319, dvi or ps or pdf
  8. (with Anand Pillay) Quantifier elimination for algebraic D-groups, Transactions AMS, 358 (2006) 167-181, dvi or ps or pdf
  9. (with Anand Pillay) On algebraic sigma-groups, Transactions AMS, 359 (2007) 1325-1337, dvi or ps or pdf
  10. (with Assaf Hasson) Strongly minimal expansions of (C,+) definable in o-minimal fields, Proc. London Math. Soc., (1) 97 (2008), 117-154, dvi or ps or pdf
  11. A note on a theorem of Ax, Annals of Pure and Applied Logic , 156 (2008), 96-109, dvi or ps or pdf
  12. (with Anand Pillay) On the isotriviality of projective iterative delta-varieties, dvi or ps or pdf
  13. (with Anand Pillay) Subvarieties of commutative meromorphic groups, dvi or ps or pdf

Slides from talks

  1. Strongly minimal sets definable in expansions of RCF (joint work with A. Hasson), o-minimal conference, Leeds, March 2006; seminar talk, Regensburg, June 2006.
  2. Definability in Differential Fields, Logic Colloquium 2007, Wrocław, 14-19 July.
  3. Iterative D-varieties via group scheme actions (joint work with A. Pillay), Atelier MODNET de Théorie des Modèles des corps, Luminy (France), 12-16 November 2007.

Wersja polska

English version