معرفی
Prof. Dr. Martin Hils is a Professor of Mathematical Logic at the University of Münster's Faculty of Mathematics and Computer Science, affiliated with the Institut für Mathematische Logik und Grundlagenforschung. His expertise lies in model theory and set theory, focusing on geometric stability, simplicity theory, valued fields with automorphisms, and Hrushovski amalgamation.
Education:
- Habilitation in Mathematics (2013, Université Paris Diderot)
- PhD in Mathematics (2006, Université Paris 7 and Lyon 1)
- Master (DEA) in Logic and Computer Science (2002, Paris 7)
- Diploma in Mathematics with Philosophy (2001, University of Bonn)
Research Interests: Model theory of valued fields, geometric stability/simplicity theories, Hrushovski amalgamation techniques, and applications to algebraic geometry and differential fields. His work bridges abstract model theory with concrete mathematical structures.
Recent Research Trends: Focus on non-archimedean geometry, separably closed valued fields, Lang-Weil estimates in difference fields, and definable retraction principles. His articles explore topics like Ax-Kochen-Ershov principles, domination monoids in valued fields, and beautiful pairs in unstable theories.
Grants & Projects:
- Lead investigator in DFG Cluster of Excellence EXC 2044 (Groups, Model Theory and Sets)
- Principal investigator in 'Model Theory of Valued Fields with Endomorphism' (DFG 2022-2025)
- GeoMod project (geometric/combinatorial configurations in model theory, DFG 2020-2024)
- Contributor to SFB 878 (model theory of valued fields and definable groups)
Teaching & Supervision: Current courses include Model Theory of Pseudofinite Fields and Logic Foundations. Supervised PhD students include Pierre Touchard (2020) and Rémi Jaoui (2017). Jointly supervises Simone Ramello and Zixuan Zhu.
Editorial Work: Editor-in-chief of Model Theory journal. Authored textbook A First Journey through Logic (AMS 2019).
