Homepage of Marcus Tressl
University of Manchester, School of Mathematics,
Oxford Road, Manchester M13 9PL, UK |

2017/2018, | Semester 1: Real Analysis (MATH20111) |

2017/2018, | Semester 1: Mathematical Logic (MATH33011) |

2017/2018, | Semester 2: Gödel's Theorems (MATH43042/63042) |

Office hour in semester 2: Tuesday 1.30-2.30

- On the strength of some topological lattices.
*Ordered Algebraic Structures and Related Topics, Contemporary Mathematics, vol. 697, Amer. Math. Soc., Providence, RI, 2017, pp. 325-347.* - (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:**

- Interpreting formulas of divisible lattice ordered abelian groups. 2016. pdf
- (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.

**Thesis**:
Dedekind cuts in polynomially bounded, o-minimal expansions of real closed fields.

Logic Seminar Manchester

Lancashire Yorkshire Model Theory Seminar

Real Algebraic and Analytic Geometry - Preprint Server

Site maintained by
Marcus Tressl. Last modified: Monday, 22nd January 2018.

Local time: 2018-02-22 10:55:05