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

2022/2023, | Semester 1: Mathematical Logic (MATH33021) |

2022/2023, | Semester 1 and 2: MSc projects (MATH61000) |

Office hour in semester 1: On ZOOM, by email appointment

E-learning (and teaching):
MyManchester (staff) Campus Solutions BlackBoard Video MyStudents Library 2FA IT

- (with Omar León Sánchez ) Differentially Large Fields. Submitted 2021. ArXiv.
- (with Igor Klep) A Model Theoretic Perspective on Matrix Rings. Submitted 2021. ArXiv.
- (with Omar León Sánchez )
Differential Weil Descent.
*Communications in Algebra, vol. 50, no. 1, p.104-114 (2022)*. ArXiv. - (with Luck Darnière)
Defining integer valued functions in rings of continuous definable functions over a topological field.
*J. Math. Log. 20 (2020), no. 3, 24 pp.* - (with Max Dickmann and Niels Schwartz) Spectral
Spaces.
*New Mathematical Monographs, vol. 35*, 650 pages. Cambridge University Press. March 2019. Online ISBN: 9781316543870. - Model Theory of Modules, Algebras and Categories.
Edited by Alberto Facchini, Lorna Gregory, Sonia L'Innocente, Marcus Tressl.
*Contemporary Mathematics, vol. 730.* - 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.*Final Preprint - Logic Colloquium 2012.
Edited by Uri Abraham, Lev Beklemishev, Paola D'Aquino, Marcus Tressl.
*Annals of Pure and Applied Logic. Volume 167, Issue 10, Pages 865-1028 (October 2016)* - (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.
*Math. Logic Quarterly, 58, No. 6, 434 - 448 (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.* -
Proceedings of the RAAG Summer School Lisbon 2003: O-minimal Structures.
Edited By Niels Schwartz and Marcus Tressl.
Network RAAG (2005). - (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.*Final Preprint -
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.

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

Logic Seminar Manchester

Lancashire Yorkshire Model Theory Seminar

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Marcus Tressl. Last modified: Thursday, 20th October 2022.

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