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Research

(Pre)publications

  1. Connectedness and combinatorial interplay in the moduli space of line arrangements (with B. Guerville-Ballé).

    (Submitted), arXiv:2309.00322 ArXiv.

  2. An introduction to p-adic and motivic integration, zeta functions and invariants of singularities. (Survey).

    Contemporary Mathematics 778 (2022), journal Pdf. preprint Pdf.

  3. On the equality of periods of Kontsevich-Zagier (with J. Cresson).

    Journal de théorie des nombres de Bordeaux, Volume 34 (2022) no. 2, pp. 323-343, journal Pdf. arXiv:1912.01751 Pdf.

  4. Motivic zeta functions on Q-Gorenstein varieties (with E. León-Cardenal, J. Martín-Morales & W. Veys).

    Advances in Mathematics 370 (2020), journal Html. arXiv:1911.03354 Pdf.

  5. Fundamental groups of real arrangements and torsion in the lower central series quotients (with E. Artal & B. Guerville-Ballé).

    Experimental Mathematics 29 (2020), no. 1, 28–35, journal Html. arXiv:1704.04152 ArXiv.

  6. Configurations of points and topology of real line arrangements (with B. Guerville-Ballé).

    Mathematische Annalen 374 (2019), no. 1-2, 1–35, journal Html. arXiv:1702.00922 ArXiv, including two appendices with detailled pictures of Zariski pairs.

  7. A semi-canonical reduction for periods of Kontsevich-Zagier.

    International Journal of Number Theory 17 (2021), no. 01, 147-174 , journal Html. arXiv:1509.01097 Pdf, including an appendix with pseudo-codes of the main procedures.

  8. Combinatorics of line arrangements and dynamics of polynomial vector fields (with B. Guerville-Ballé).

    (Submitted), arXiv:1412.0137 ArXiv.

    Appendix Appendix

  9. On the minimal degree of logarithmic vector fields of line arrangements (with B. Guerville-Ballé).

    Proc. XIII Intern. Conf. on Maths. and its Appl., (40), 61-66 (2016), journal Pdf.





Lecture notes and seminars

  • An introduction to geometric motivic integration Introductory 4,5h mini-course given at IMPA, Thematic Program on Singularity Theory.

  • An introduction to p-adic and motivic integration, zeta functions and new stringy invariants of singularities. 20h mini-course given at ICMC-USP.

  • Line arrangements: combinatorics, geometry and topology. Introductory 7h mini-course given at ICMC-USP.



PhD Thesis




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