• Research Areas

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


Editorial responsibility

Associate editor of the Journal de l'Institut de Mathématiques de Jussieu


Ph.D. Thesis

Fusion libre et autres constructions génériques (pdf)
(Université Paris 7, 2006).


Contributions à la théorie des modèles des corps (pdf)
(Université Paris Diderot Paris 7, 2013).

Published articles

  1. Assaf Hasson and Martin Hils, Fusion over Sublanguages (pdf)
    (J. Symbolic Logic 71(2) (2006), 361-398).
  2. Martin Hils, Semifree Actions of Free Groups (pdf)
    (Arch. Math. Logic 46(2) (2007), 93-105).
  3. Martin Hils, La fusion libre: le cas simple (pdf)
    (J. Inst. Math. Jussieu 7(4) (2008), 825-868).
  4. Andreas Baudisch, Martin Hils, Amador Martin-Pizarro and Frank O. Wagner, Die böse Farbe (pdf, English translation pdf)
    (J. Inst. Math. Jussieu 8(3) (2009), 415-443).
  5. Manuel Bodirsky, Martin Hils and Barnaby Martin, On the Scope of the Universal-Algebraic Approach to Constraint Satisfaction
    (Proc. of LICS 2010, 25th Annual IEEE Symposium on Logic in Computer Science (2010), 90-99).
    (long version: Log. Meth. Comput. Sci. 8(3:13) (2012), arXiv pdf).
  6. Martin Hils, Generic Automorphisms and Green Fields (pdf)
    (J. Lond. Math. Soc. 85(3) (2012), 223-244).
  7. Manuel Bodirsky and Martin Hils, Tractable Set Constraints (pdf)
    (J. Artif. Intell. Res. 4 (2012), 731-759).
    (An extended abstract of this article, in collaboration with Manuel Bodirsky and Alex Krimkevich, was published in IJCAI'11, Barcelona.)
  8. Martin Bays, Misha Gavrilovich and Martin Hils, Some Definability Results in Abstract Kummer Theory (pdf)
    (Int. Math. Res. Notices 2014(14) (2014), 3975-4000).
  9. Artem Chernikov and Martin Hils, Valued Difference Fields and NTP2 (pdf)
    (Israel J. Math 2014; doi: 0.1007/s11856-014-1094-z).
  10. Juan Diego Caycedo und Martin Hils, Bad Fields with Torsion (pdf).
    (J. Symbolic Logic 80(1) (2015), 221-233).

Accepted articles

  • Martin Bays, Martin Hils and Rahim Moosa, Model Theory of Compact Complex Manifolds with an Automorphism (arXiv pdf).
    (Accepted for publication in Trans. Amer. Math. Soc.).

Some talks and tutorials

  • Imaginaries in Model Theory (slides)
    (Talk at the conference Philosophy and Model Theory, Université Paris Ouest & ENS, June 2010)
  • Introduction to Model Theory (slides)
    (Tutorial at the Second International Conference and Workshop on Valuation Theory, Segovia / El Escorial, July 2011)
  • Tameness in non-archimedean geometry through model theory (after Hrushovski-Loeser) (slides)
    (Tutorial at the conference Model Theory 2013, Ravello, June 2013)
  • A Model Theoretic Approach to Berkovich Spaces (video)
    (Tutorial at the Introductory Workshop: Model Theory, Arithmetic Geometry and Number Theory, MSRI, Berkeley, February 2014)
  • Model Theory of Compact Complex Manifolds with an Automorphism (video)
    (Talk at the Workshop on Interactions between Model Theory and Arithmetic Dynamics, Fields Institute, Toronto, July 2016)