Professional web page of Jean-Baptiste Campesato.
Maître de Conférences at the University of Angers.
jb.campesato [@t) univ-angers.fr

Research

Full publication list on HAL - MathSciNet

Peer-reviewed publications

8. J.-B. Campesato, G. Fichou, A. Parusiński.
    Motivic, logarithmic, and topological Milnor fibrations.
    Advances in Mathematics, 461 (2025), 50p.
    [ arXiv:2111.14881 | DOI:10.1016/j.aim.2024.110075 | Slides ]

7. E. Bierstone, J.-B. Campesato, P.D. Milman.
    𝒞 ^m solutions of semialgebraic or definable equations.
    Advances in Mathematics, 385 (2021), 24p.
    [ arXiv:2010.13815 | DOI:10.1016/j.aim.2021.107777 | Slides (Kraków) | Slides (14th Whitney Problems) | Slides (French) | Video (Fields Institute) ]

6. J.-B. Campesato, T. Fukui, K. Kurdyka, A. Parusiński.
    Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets.
    Mathematische Annalen, 374 no. 1–2 (2019), pp. 211–251.
    [ arXiv:1807.05160 | DOI:10.1007/s00208-019-01805-8 | Slides ]

5. J.-B. Campesato.
    Complete classification of Brieskorn polynomials up to the arc-analytic equivalence.
    Mathematische Zeitschrift, 290 no. 3–4 (2018), pp. 1145-1163.
    [ arXiv:1708.04425 | DOI:10.1007/s00209-018-2056-7 ]

4. J.-B. Campesato.
    On the arc-analytic type of some weighted homogeneous polynomials.
    Journal of the London Mathematical Society, 97 no. 3 (2018), pp. 377-397.
    [ arXiv:1612.08269 | DOI:10.1112/jlms.12108 ]

3. J.-B. Campesato.
    From the blow-analytic equivalence to the arc-analytic equivalence: a survey.
    Saitama Mathematical Journal, 31 (2017), pp. 35-78.
    Proceedings of the Sixth Japanese-Australian Workshop on Real and Complex Singularities.
    [ Preprint | Article at SMJ ]

2. J.-B. Campesato.
    On a motivic invariant of the arc-analytic equivalence.
    Annales de l'institut Fourier, 67 no. 1 (2017), pp. 143-196.
    [ arXiv:1512.07145 | DOI:10.5802/aif.3078 ]

1. J.-B. Campesato.
    An inverse mapping theorem for blow-Nash maps on singular spaces.
    Nagoya Mathematical Journal, 223 no. 1 (2016), pp. 162-194.
    [ arXiv:1406.6637 | DOI:10.1017/nmj.2016.29 ]

Non-refereed publications

• J.-B. Campesato.
    On some classification results of real singularities up to the arc-analytic equivalence.
    RIMS Kôkyûroku, 2049 (2017), pp. 116-125.
    Proceedings of the RIMS Workshop Singularity theory of differential maps and its applications, 2016/12/06～2016/12/09, Kyoto (Japan).
    [ Direct link ]

PhD Thesis (French)

Une fonction zêta motivique pour l'étude des singularités réelles
under the supervision of Adam Parusiński.
The defense was held on December 11, 2015 at the mathematics department J. A. Dieudonné of Nice Sophia Antipolis University.
Manuscript on theses.fr
Referees: Georges Comte, Goulwen Fichou and Satoshi Koike.
Jury members: Georges Comte, Goulwen Fichou, Krzysztof Kurdyka, François Loeser (President), Michel Merle and Adam Parusiński.