Office hour in semester 1: Tuesday 2.30-3.30
- (with Tim Mellor)
Non-axiomatizability of real spectra in L∞λ.
Annales de la Faculté des Sciences de Toulouse, Vol. XXI, no. Spécial, 2012, pp. 131--146
- (with Salma Kuhlmann) Comparison of Exponential-Logarithmic and Logarithmic-Exponential series. 2012.
- (with Niels Schwartz) Elementary properties of minimal and maximal points in Zariski spectra.
Journal of Algebra 323 (2010) 698-728.
- Bounded super real closed rings.
Logic Colloquium 2007, volume 35 of Lect. Notes Log., pages 220--237. Assoc. Symbol. Logic, La Jolla, CA, 2010.
- Heirs of box types in polynomially bounded structures.
The Journal of Symbolic Logic, vol 74, No. 4, p.1225-1263 (2009).
- Super real closed rings.
Fundamenta Mathematicae 194 (2007), no. 2, 121-177.
- (with Igor Klep)
The Prime Spectrum and the Extended Prime Spectrum of non commutative Rings.
Algebras and Representation Theory (2007), vol. 10, no. 3, 257 -- 270.
Pseudo Completions and Completions in Stages of o-minimal structures. Arch. Math. Logic (2006), vol 45, no. 8, 983-1009.
Computation of the z-radical in C(X). Advances in Geometry 6 (2006), no. 1, 139-175.
The elementary theory of Dedekind cuts in polynomially bounded structures.
Annals of Pure and Applied Logic, Volume 135, Issues 1-3, September 2005, Pages 113-134.
- The uniform companion for large differential fields of characteristic 0.
Transactions of the American Mathematical Society 357 (2005), no. 10, 3933-3951.
Valuation theoretic content of the Marker-Steinhorn Theorem.
The Journal of Symbolic Logic, vol. 69, No. 1, p.91-93 (2004).
- (with Vincent Astier)
Axiomatization of local-global principles for pp-formulas in spaces of orderings.
Arch. Math. Logic 44 (2005), no. 1, 77--95.
Model Completeness of o-minimal Structures expanded by Dedekind Cuts.
Journal of Symbolic Logic 70 (2005), no. 1, pp. 29--60.
- (with Thomas Grill and Manfred Knebusch) An existence theorem for systems of implicit differential equations.
Banach Center Publications, vol. 58, Warszawa 2002, p.75-77.
- A Structure Theorem for Differential Algebras. Banach Center Publications, vol. 58, Warszawa 2002, p.201-206.
The real spectrum of continuous definable functions in o-minimal structures.
Séminaire de Structures Algébriques Ordonnées 1997-1998, No. 68, Mars 1999, p. 1-15.
Preprints and work in progress:
- (with Nicolas Guzy) pd-adically closed rings.
Extended abstract as published in Séminaire de Structures Algébriques Ordonnées 2008.
- Decidability questions for real closed rings.
- Spectral spaces. Book in preparation, jointly with Max Dickmann and Niels Schwartz.
Dedekind cuts in polynomially bounded, o-minimal expansions of real closed fields.
Model Theory Preprint Server
Logic Seminar Manchester
Lancashire Yorkshire Model Theory Seminar
Real Algebraic and Analytic Geometry - Preprint Server
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