Thesis
Some model-theoretical and geometric properties of fields with jet
operators, PhD thesis,
Wrocław University, April 2001, dvi
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Papers
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Stable Groups and Algebraic Groups, J. London Math. Soc. (1) 61 (2000), 51-57
- (with Anand Pillay) Proalgebraic and differential algebraic group structures on affine spaces, Amer.
J. Math. 122 (2000), 213-221, dvi
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- (with Marcin Chałupnik) Lazard Theorem for differential algebraic and proalgebraic groups, Pacific
J. Math. (2) 202 (2002), 305-312, dvi
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- (with Anand Pillay) A Note on Groups Definable in Difference Fields, Proc. of AMS (1) 130
(2002), 205-212,
dvi
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- Derivations of the Frobenius map, Journal of Symbolic
Logic, (1) 70 (2005), 99-110, dvi
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- Geometric axioms for existentially closed Hasse fields,
Annals of Pure and Applied Logic , 135 (2005), 286-302,
dvi
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- Jet operators on fields,
Journal of Algebra , 289 (2005), 312-319, dvi
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- (with Anand Pillay) Quantifier elimination for algebraic D-groups, Transactions AMS,
358 (2006) 167-181, dvi
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- (with Anand Pillay) On algebraic sigma-groups, Transactions AMS, 359 (2007) 1325-1337, dvi
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- (with Assaf Hasson) Strongly minimal expansions of (C,+) definable in o-minimal fields,
Proc. London Math. Soc., (1) 97 (2008), 117-154,
dvi
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- A note on a theorem of Ax,
Annals of Pure and Applied Logic
, 156 (2008), 96-109,
dvi
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- (with Anand Pillay) On the isotriviality of projective iterative delta-varieties, dvi
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- (with Anand Pillay) Subvarieties of commutative meromorphic groups, dvi
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Slides from talks
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Strongly minimal sets definable in expansions of RCF
(joint work with A. Hasson),
o-minimal conference, Leeds, March 2006; seminar talk, Regensburg, June 2006.
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Definability in Differential Fields, Logic Colloquium 2007, Wrocław, 14-19 July.
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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