Publications
Multisections of surface bundles and bundles over the circle,
ArXiv: 2305.05619.Multisections of higher-dimensional manifolds,
joint work with Fathi Ben Aribi, Sylvain Courte and Marco Golla,
ArXiv: 2303.08779.A universal finite type invariant of knots in homology 3-spheres,
joint work with Benjamin Audoux,
ArXiv: 2209.00473.The algebraic topology of 4-manifolds multisections,
joint work with Trenton Schirmer,
Pacific Journal of Mathematics 327 (1), p. 139-166,(2023).Slice genus, T-genus and 4-dimensional clasp number,
ArXiv: 2101.01553, to appear in Communications in Analysis and Geometry.Torsions and intersection forms of 4-manifolds from trisection diagrams,
joint work with Vincent Florens,
Canadian Journal of Mathematics 74 (2), p. 527-549, (2022).A splicing formula for the LMO invariant,
joint work with Gwénaël Massuyeau,
Canadian Journal of Mathematics 73 (6), p. 1743-1770, (2021).A Fox-Milnor theorem for the Alexander polynomial of knotted 2-spheres in S⁴,
joint work with Emmanuel Wagner,
Journal of the Mathematical Society of Japan 72 (3), p. 891-907, (2020).Splitting formulas for the rational lift of the Kontsevich integral,
Algebraic & Geometric Topology 20 (1), p. 303-342, (2020).Toward universality in degree 2 of the Kricker lift of the Kontsevich integral and the Lescop equivariant invariant,
joint work with Benjamin Audoux,
International Journal of Mathematics 30 (5), 1950021, (2019).Finite type invariants of knots in homology 3-spheres with respect to Lagrangian-preserving surgeries,
Geometry & Topology 23 (4), p. 2005-2050, (2019).Finite braid group orbits in Aff(C)-character varieties of the punctured sphere,
joint work with Gaël Cousin,
International Mathematics Research Notices 2018 (11), p. 3388-3442, (2018).Equivariant triple intersections,
Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série 6. 26 (3), p. 601-644, (2017).Realizing isomorphisms between first homology groups of closed 3-manifolds by borromean surgeries,
Journal of Knot Theory and Its Ramifications 24 (4), 1550024 (17 pages), (2015).
Rational Blanchfield forms, S-equivalence, and null LP-surgeries,
Bulletin de la Société Mathématique de France 143 (2), p. 403-431, (2015).Finite type invariants of rational homology 3-spheres,
Algebraic & Geometric Topology 12 (4), p. 2389-2428, (2012).On Alexander modules and Blanchfield forms of null-homologous knots in rational homology spheres,
Journal of Knot Theory and Its Ramifications 21 (5), 1250042 (21 pages), (2012).
Theses
Smooth manifolds and their knots,
Habilitation thesis, Aix-Marseille University, (2023).Equivariance and finite type invariants,
PhD Thesis, Grenoble University, (2012).