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My research lies at an interface between algebraic topology, representation theory and category theory. Namely, my research focuses on the study of the representations of braid groups, mapping class groups of surfaces and 3-manifolds, and on the computation of the associated stable twisted homology of these groups.
Soulie, A. (2021) Generalized long-moody functors. Algebraic and Geometric Topology, (Accepted for Publication)
Bellingeri, P. and Soulie, A. (2020) A note on representations of welded braid groups. Journal of Knot Theory and Its Ramifications, 29(12), 2050082. (doi: 10.1142/s0218216520500820)
Soulié, A. (2020) Some computations of stable twisted homology for mapping class groups. Communications in Algebra, 48(6), pp. 2467-2491. (doi: 10.1080/00927872.2020.1716981)
Soulie, A. (2019) The Long–Moody construction and polynomial functors. Annales de l'Institut Fourier, 69(4), pp. 1799-1856. (doi: 10.5802/aif.3282)
Soulie, A. (2021) Generalized long-moody functors. Algebraic and Geometric Topology, (Accepted for Publication)
Bellingeri, P. and Soulie, A. (2020) A note on representations of welded braid groups. Journal of Knot Theory and Its Ramifications, 29(12), 2050082. (doi: 10.1142/s0218216520500820)
Soulié, A. (2020) Some computations of stable twisted homology for mapping class groups. Communications in Algebra, 48(6), pp. 2467-2491. (doi: 10.1080/00927872.2020.1716981)
Soulie, A. (2019) The Long–Moody construction and polynomial functors. Annales de l'Institut Fourier, 69(4), pp. 1799-1856. (doi: 10.5802/aif.3282)
Advanced Algebraic and Geometric Topology