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- “A proof of A. Gabrielov’s rank Theorem” (with Octave Curmi and Guillaume Rond), arXiv:2008.13130 [math.CV], 2020.
See our talk in the Fields Institute here.
- “Lipschitz normal embeddings and polar exploration of complex surface germs” (with Lorenzo Fantini and Anne Pichon) 2006.01773 [math.AG], 2020.
- “Monomialization of a quasianalytic morphism” (with Edward Bierstone), arXiv 1907.09502 [math.AG], 2019.
- “Inner Lipschitz geometry of complex surfaces: a valuative approach” (with Lorenzo Fantini and Anne Pichon) 1905.01677 [math.AG], 2019.
- “Strong Sard Conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3”, with Alessio Figalli, Adam Parusinski and Ludovic Rifford, hal-01889705, 2018.
See our talks :
for general algebraic geometers specialists here;
for sub-Riemannian geometers specialists here.
Published or accepted articles
- “Sharp Estimates for Blowing Down Functions in a Denjoy-Carleman Class” (with Edward Bierstone and Avner Kiro), to appear in IMRN, 2020, (see arXiv version here).
- “A general system of differential equations to model first order adaptive algorithms“, with Maxime Gazeau, Journal of Machine Learning Research, 21(129):1−42, 2020.
- “Generalized Flow-Box property for singular foliations“, with Daniel Panazzolo, RACSAM, 113, pages 3949–3965. 2019. (see arXiv version here).
- “Topological classification of limit periodic sets of polynomial planar vector fields”, with José Ginés Espín Buendía, Publicacions Matemàtiques, Volume 63, Number 1 (2019), 105-123pp. (see arXiv version here).
- “Composite quasianalytic functions“, with Edward Bierstone and Michael Chow, Compositio Mathematica, Volume 154, Issue 9 (2018) pp. 1960-1973. (see arXiv version here).
- “The Sard conjecture on Martinet surfaces“, with Ludovic Rifford, Duke Mathematical Journal, Volume 167, Number 8 (2018), 1433-1471. (see arXiv version here).
- “Local monomialization of a system of first integrals of Darboux type”, Revista Matemática Iberoamericana, Volume 34, Issue 3, (2018), pp. 967–1000. (see arXiv version here).
- “Solutions of quasianalytic equations”, with Iwo Biborski and Edward Bierstone, Selecta Mathematica, Volume 23, Number 4, (2017), 2523-2552 pp. (see arXiv version here).
- “Resolution of singularities of the cotangent sheaf of a singular variety”, with Edward Bierstone, Vincent Granjean and Pierre Milman, Advances in Mathematics, Volume 307, (2017), 780-832 pp. (see arXiv version here)
- Local Resolution of Ideals Subordinated to a Foliation, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales – RACSAM, (2016) Volume 110, Issue 2, pp 841–862. (see arXiv version here)
- Global resolution of singularities subordinated to a 1-dimensional foliation, Journal of Algebra, 2016, Volume 447, Pages 397-423. (see arXiv version here).
- Examples of infinitesimal non-trivial accumulation of secants in dimension three, Journal of Dynamical and Control Systems, 2016, Volume 22, no. 1, 45-54. (see arXiv version here)
- Analytic varieties as limit periodic sets, Qualitative Theory of Dynamical Systems, 2012, Volume 11, issue 2, 449-465. (see arXiv version here).
Proceedings and book chapters
PhD and Master Thesis