Research Interests

Research Interests

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

Selected Publications

Hils M La fusion libre: le cas simple. Journal of the Institute of Mathematics of Jussieu Vol. 7 (4), 2008, pp 825-868 online
Hils M Generic automorphisms and green fields. J. London Math. Soc. (2) Vol. 85 (2), 2012, pp 223-244 online
Hasson A, Hils M Fusion over sublanguages. Journal of Symbolic Logic Vol. 71 (2), 2006, pp 361-398 online
Chernikov A, Hils M Valued difference fields and NTP2. Israel Journal of Mathematics Vol. 204 (1), 2014, pp 299-327 online
Bays M, Hils M, Moosa R Model Theory of Compact Complex Manifolds with an Automorphism. Transactions of the American Mathematical Society Vol. 369 (6), 2017, pp 4485-4516 online
Bays M, Gavrilovich M, Hils M Some Definability Results in Abstract Kummer Theory. International Mathematics Research Notices Vol. 2014 (14), 2014, pp 3975-4000 online
Baudisch A, Hils M Martin Pizarro A, Wagner F-O Die böse Farbe. Journal of the Institute of Mathematics of Jussieu Vol. 8 (3), 2009 online

Current Publications

Current Publications

$\bullet$ Martin Hils and Stefan Marian Ludwig. An approximate AKE principle for metric valued fields. arXiv e-prints, August 2022. arXiv:2208.10186.

$\bullet$ Martin Hils and Rosario Mennuni. Some definable types that cannot be amalgamated. arXiv e-prints, July 2022. arXiv:2207.09787.

$\bullet$ Pablo Cubides Kovacsics, Martin Hils, and Jinhe Ye. Beautiful pairs. arXiv e-prints, December 2021. arXiv:2112.00651.

$\bullet$ Martin Hils and Silvain Rideau-Kikuchi. Un principe d'Ax-Kochen-Ershov imaginaire. arXiv e-prints, September 2021. arXiv:2109.12189.

$\bullet$ Martin Hils and Rosario Mennuni. The domination monoid in henselian valued fields. arXiv e-prints, August 2021. arXiv:2108.13999.

$\bullet$ Martin Hils, Ehud Hrushovski, and Pierre Simon. Definable equivariant retractions in non-archimedean geometry. arXiv e-prints, January 2021. arXiv:2101.02619.

$\bullet$ Martin Hils and François Loeser. A First Journey through Logic. Student Mathematical Library. American Mathematical Society, 1. edition, September 2019.