Publications et preprints

Preprints :

• • Hickel, Michel - Matusinski, Mickaël. About the algebraic closure of formal power series in several variables.

Publications :

• • Berarducci, Alessandro - Kuhlmann, Salma - Mantova, Vincenzo - Matusinski, Mickaël. Exponential fields and Conway's omega-map. Proc. Amer. Math. Soc., Amer. Math. Soc. (AMS). 2023, 151(9), pp. 2655-2669. 

  • Le Gal, Olivier - Matusinski Mickaël - Sanz Sánchez, Fernando. Solutions of definable ODEs with regular separation and dichotomy interlacement vs Hardy. Rev. Mat. Iberoam. 38 (2022), no. 5, pp. 1501–1527 .

  • Matusinski, Mickaël - Müller, Simon. Quantifier elimination for quasi-real closed fields. Comptes Rendus. Mathématique, Tome 359 (2021) no. 3, pp. 291-295. doi : 10.5802/crmath.169.

  • Hickel, Michel - Matusinski, Mickaël. About algebraic Puiseux series in several variables. Journal of Algebra, Volume 527, 1 June 2019, Pages 55-108

  • Mantova, Vincenzo - Matusinski, Mickaël. Surreal numbers with derivation, Hardy fields and transseries: a survey.  Ordered algebraic structures and related topics, 265–290, Contemp. Math., 697, Amer. Math. Soc., Providence, RI, 2017.

  • Hickel, Michel - Matusinski, Mickaël. On the algebraicity of Puiseux series. Rev. Mat. Complut. 30 (2017), no. 3, 589–620.

  • Kuhlmann, Salma - Matusinski, Mickaël - Point, Françoise. The valuation difference rank of a quasi-ordered difference field. Groups, Modules, and Model Theory - Surveys and Recent Developments, Springer International Publishing, 2017  pp. 399-414.

  • Kuhlmann, Salma - Matusinski, Mickaël. The exponential-logarithmic equivalence classes of surreal numbers. Order 32 (2015), 53–68.

  • Matusinski, Mickaël. On generalized series fields and exponential-logarithmic series fields with derivations. Valuation theory in interaction, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2014, pp. 350–372.

  • Cossart, Vincent - Matusinski, Mickaël - Moreno-Socias, Guillermo. Existence des diviseurs dicritiques, d'après S.S. Abhyankar. Valuation theory in interaction, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2014, pp. 136–147.

  • Kuhlmann, Salma - Matusinski, Mickael - Shkop, Ahuva. A note on Schanuel's conjectures for exponential logarithmic power series fields, Archiv der Mathematik, Volume 100, Issue 5 (2013), pages 431-436

  • Kuhlmann, Salma - Matusinski, Mickael. Hardy type derivations in generalized series fields, Journal of Algebra, Volume 351, Issue 1, 1 February 2012, Pages 185-203

  • Kuhlmann, Salma - Matusinski, Mickael. Hardy type derivations on fields of exponential logarithmic series, Journal of Algebra, Volume 345, Issue 1, 1 November 2011, Pages 171-189

  • Cossart, Vincent - Matusinski, Mickaël. Dicritical divisors, after S.S. Abhyankar et I. Luengo. Journal of Algebra, Volume 342, Issue 1, 15 September 2011, Pages 147-153

  • Matusinski, Mickaël. Differential Puiseux theorem in generalized series fields of finite rank. Annales de la faculté des sciences de Toulouse Série 6, 20 n° 2 (2011), p. 247-293

  • Matusinski, Mickaël. Support of the solutions of differential equations with coefficients in generalized power series fields of finite rank. (Spanish). Rev. Semin. Iberoam.Mat. 3 (2007), no. 4, 39–50

  • Matusinski, Mickaël - Rolin, Jean-Philippe. Generalised power series solutions of sub-analytic differential equations. C. R. Math. Acad. Sci. Paris 342 (2006), no. 2, 99–102.

Doctorat et HDR :

• • Thèse de doctorat : Équations différentielles à coefficients dans des corps de séries généralisées (2007). Université de Bourgogne. Directeur de thèse : Jean-Philippe Rolin. Soutenance le 14 juin 2007

  • Thèse d'HDR : Séries formelles et méthodes transcendantes en géométrie modérée (2020). Soutenance le 09 mars 2020