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Prof. Dr. Martin Hils

Current affiliations

Professorship for Mathematical Logic (Prof. Hils)

Curriculum Vitae (CV)

Model Theory: Geometric Stability and Simplicity Theory, Hrushovski Amalgamation
Valued Fields and their Model Theory, in particular Valued Fields with Automorphism

Academic Education
12/2013	Habilitation in Mathematics (Université Paris Diderot - Paris 7)
09/2002 - 10/2006	PhD Studies in Mathematics (Université Paris 7 and Université Lyon 1)
09/2001 - 08/2002	Master (DEA) in Logic and Foundations of Computer Science (Université Paris 7)
10/1998 - 09/2001	Study of Mathematics ('Diplom'), with minor in Philosophy (University of Bonn)
10/1996 - 09/1998	Study of Mathematics ('Diplom'), with minor in Philosophy (University of Freiburg)
Work Experience
since 09/2016	Professor for Mathematical Logic, Münster University
09/2008 - 08/2016	Maître de conférences, Université Paris Diderot - Paris 7
09/2010 - 08/2013	Maître de conférences (part time), DMA, Ecole normale supérieure Paris
09/2005 - 08/2008	Wissenschaftlicher Mitarbeiter (Research and Teaching Assistant) in the Mathematical Logic Group, Humboldt-Universität zu Berlin
09/2002 - 08/2005	Allocataire de recherche, Université Paris 7
Functions and Memberships
since 07/2021	Editor-in-chief of the journal "Model Theory"
since 08/2015	Associate Editor of the Institute of Mathematics of Jussieu

Publications

Un principe d'Ax-Kochen-Ershov imaginaire Hils Martin, Rideau-Kikuchi Silvain In: Journal of the European Mathematical Society Type of Publication: Research article (journal)
Some definable types that cannot be amalgamated Hils, Martin; Mennuni, Rosario (2023) In: Mathematical Logic Quarterly, 69(1) Type of Publication: Research article (journal)
Stably Embedded Pairs of Ordered Abelian Groups Hils, Martin; Liccardo, Martina; Touchard, Pierre (2023) In: arxive.org:2308.09989. Type of Publication: Research article in digital collection
An Approximate AKE Principle for Metric Valued Fields Hils, Martin; Ludwig, Stefan Marian (2022) In: arxiv.org:2208.10186. Type of Publication: Research article in digital collection
Definable Equivariant Retractions in Non-Archimedean Geometry Hils, Martin; Hrushovski, Ehud; Simon, Pierre (2021) In: arxiv:2101.02619. Type of Publication: Research article in digital collection

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Projects

Model Theory of Valued Fields with Endomorphism Duration: 01/02/2022 - 31/01/2025 Funded by: DFG - Individual Grants Programme Type of project: Individual project
Geometric and Combinatorial Configurations in Model Theory (GeoMod) Duration: 01/01/2020 - 31/12/2024 Funded by: DFG - Individual Grants Programme Type of project: Individual project
Model Theory of Valued Fields and Applications Duration: 10/06/2019 - 14/06/2019 \| 1st Funding period Funded by: DFG - International Scientific Events Type of project: Scientific Event
EXC 2044 - A2: Groups, model theory and sets Duration: 01/01/2019 - 31/12/2025 \| 1st Funding period Funded by: DFG - Cluster of Excellence Type of project: Subproject in DFG-joint project hosted at University of Münster
SFB 878 A09 - Geoöetric Moel Theory of Valued Fields Duration: 01/09/2016 - 30/06/2019 \| 1st Funding period Funded by: DFG - Collaborative Research Centre Type of project: Subproject in DFG-joint project hosted at University of Münster

Talks

The amalgamation property for definable types Hils, Martin (19/09/2023) Model Theory Conference , University of Wroclaw Type of talk: scientific talk
Lang-Weil type bounds in finite difference fields Hils, Martin (30/05/2023) Model theory of valued fields, CIRM (Marseille) Type of talk: scientific talk
Spaces of definable types and beautiful pairs in unstable theories Hils, Martin (21/04/2023) Géométrie et théorie des modèles, Institut Henri Poincaré, Paris Type of talk: scientific talk
Beautiful pairs in unstable theories and spaces of definable types Hils, Martin (08/03/2023) Research Seminar in Model Theory, Universität Wien Type of talk: scientific talk
Lang-Weil type bounds in finite difference fields Hils, Martin (15/02/2023) Donau-Rhein-Modelltheorie-Seminar, Universität Passau Type of talk: scientific talk

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Doctorates

On Transfer Principles in Henselian Valued Fields Candidate: Touchard, Pierre \| Supervisors: Hils, Martin Period of time: until 04/09/2020 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster
Geodesic Flows and Model Theory of Differential Fields Candidate: Jaoui, Rémi \| Supervisors: Bost, Jean-Benoît Period of time: until 30/06/2017 Doctoral examination procedure finished at: Doctoral examination procedure at another university (NOT University of Münster)