Geoffroy Horel

Maître de conférences à l'Université Paris 13.

E-mail:

Adresse:: Institut Galilée, Université Paris 13, 99 avenue Jean-Baptiste Clément, 93430 Villetaneuse, France.

Membre du projet ANR HighAGT ainsi que du projet Moduli spaces of submanifolds and motion groups. Je suis également membre du GDR Théorie de l'homotopie et applications.

Cours Groupes et symétries, L2, Paris 13

Preprints

My preprints are also available on arXiv. The most up-to-date versions are on this website.

(with Pedro Boavida de Brito and Joana Cirici) Equivariant formality of the little disks operad , (last update 7 Janurary 2025).
E2 formality via obstruction theory, (last update 28 September 2024).
(with Thomas Willwacher) Automorphisms of framed operads , (last update 28 Septembre 2024).
(with Joana Cirici) Formality of hypercommutative algebras of Kähler and Calabi-Yau manifolds, (last update 17 February 2023).
(with Manuel Krannich and Alexander Kupers) Two remarks on spaces of maps between operads of little cubes (last update 7 November 2022).
Automorphisms of the little disks operad with p-torsion coefficients, (last update, 7 August 2019).

Published papers

Binomial rings and homotopy theory, Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2024, no. 813, 2024, pp. 283-305 Journal version.
(with Martin Palmer) Motivic homological stability of configuration spaces, Bull. London Math. Soc. Vol. 55, Issue 2 (2023), pp. 892-913 Journal version.
(with Joana Cirici) Étale cohomology, purity and formality with torsion coefficients , Journal of Topology, Vol. 15, Issue 4 (2022), pp. 2270-2297, Journal version.
(with Gabriel Drummond-Cole) Homotopy transfer and formality, Annales de l'Institut Fourier, Vol.71, no.5, pp.2079-2116, Journal version.
(with Maxime Ramzi) A multiplicative comparison of MacLane homology and topological Hochschild homology, Annals of K-theory, Vol. 6 (2021), No. 3, pp. 571-605 , Journal version.
(with Pedro Boavida de Brito) On the formality of the little disks operads in positive characateristic, Journal of the London Mathematical Society, Volume 104, Issue 2 (2021), pp. 634-667, Journal version.
(with Pedro Boavida de Brito) Galois symmetries of knot spaces, Compositio Mathematica , Volume 157 , Issue 5 (2021), pp. 997-1021 , Journal version.
(with Joana Cirici) Mixed Hodge structures and formality of symmetric monoidal functors, Annales Scientifiques de l'École Normale Supérieure, Vol. 53-4 (2020), pp. 1071-1104, Journal version.
(with Pedro Boavida de Brito and Marcy Robertson) Operads of genus zero curves and the Grothendieck-Teichmüller group, Geometry & Topology, Vol. 23-1 (2019), pp. 299-346. Journal version.
(with Clément Dupont) On two chain models for the gravity operad, Proc. Amer. Math. Soc. 146 (2018), pp. 1895-1910. Journal version.
Profinite completion of operads and the Grothendieck-Teichmüller group, Advances in Math. Vol. 321, (2017), pp. 326-390. Journal version.
Factorization homology and calculus à la Kontsevich Soibelman, Journal of Noncommutative Geometry, Vol. 11, No. 2 (2017), pp. 703-740. Journal version.
(with Ilan Barnea and Yonatan Harpaz) Pro-categories in homotopy theory, Algebraic & Geometric Topology, Vol. 17 (2017), pp. 567-643. Journal version
(with Giovanni Caviglia) Rigidification of higher categorical structures, Algebraic & Geometric Topology, Vol. 16 (2016), pp. 3533–3562. Journal version.
Brown categories and bicategories, Homology, Homotopy and Applications, Vol. 18 (2016), No. 2, pp. 217-232. Journal version.
Motivic homological stability for configurations spaces of the line, Bull. London Math. Soc. 48 (2016) pp. 601-616. Journal version. (The main theorem of this paper is incorrect, here is an Erratum)
Higher Hochschild cohomology of the Lubin-Tate ring spectrum , Algebraic & Geometric Topology, Vol. 15 (2015), pp. 3215-3252. Journal version
A model structure on internal categories in simplicial sets, Theory and Applications of Categories, Vol. 30, No. 20, 2015, pp. 704-750. Journal version.

Miscellaneous writings

Algebraic models and motivic structure on homotopy types, (last update, 3 November 2024).
with Joana Cirici, An operadic proof of the BTT theorem, 2024.
with Coline Emprin, Weight structures and formality, Higher Structure and Operadic Calculus, Advanced Courses in Mathematics - CRM Barcelona, Springer, 2024.
Groupe de Galois et espace des noeuds (last update, 14 December 2018) In French, published in Actes du congrès de la SMF 2018.
A note on p-completion of spectra (last update, 13 April 2016) This is now part of the paper Automorphisms of the little disks operad with p-torsion coefficients.
The homotopy theory of A-infinity categories (last update, 14 March 2015)

Students

Nicolas Guès (PhD)
Coline Emprin (PhD)
Jinwen Xu (Master)
Jingyuan Zhu (Master)
Julio Perez Garcia (Master)
Rodrigue Haya Enriquez (Master)
Coline Emprin (Master)
Noé Sotto (Master)
Maxime Ramzi (Master)
Hashem Alsabi (Master)
Iskandar Boucharenc (Master)
Carlos Cortez (Master)
Gédéon Chevallier (Master)