Research

My main mathematical interests are in the fields of operads, as well as in their applications to algebraic topology and homological algebra. I am especially interested in the study of configuration spaces of manifolds, their links to graph complexes, and the invariants they define. These days, I am also interested in the representation stability phenomenon.

See also: arXiv, HAL, MathSciNet, zbMATH, and ORCID.

Publications

  1. Homotopy Prefactorization Algebras

    Najib Idrissi, Eugene Rabinovich.
    Res. Math. Sci. 11.45 (2024)
    Online on .
    Updated on .
    Accepted on .
    Full textDOI:10.1007/s40687-024-00456-9arXiv:2304.13011hal-04082483MR4763063Zbl 07875603

  2. Non-formality of Voronov's Swiss-Cheese operads

    Najib Idrissi, Renato Vasconcellos Vieira.
    In: Q. J. Math. 75.1 (2024), pp. 63-95
    Online on .
    Updated on .
    Accepted on .
    Full textDOI:10.1093/qmath/haad041arXiv:2303.16979hal-04053257MR4732946Zbl 07936839Source

  3. Configuration Spaces of Manifolds with Boundary

    Ricardo Campos, Najib Idrissi, Pascal Lambrechts, Thomas Willwacher.
    Astérisque 449 (2024), ISBN: 978-2-85629-990-6
    Online on .
    Updated on .
    Accepted on .
    Full textDOI:10.24033/ast.1222arXiv:1802.00716hal-01721634MR4764220Zbl 07882597

  4. Curved Koszul duality of algebras over unital versions of binary operads

    Najib Idrissi.
    J. Pure Appl. Algebra 227.3 (2023)
    Online on .
    Updated on .
    Accepted on .
    Full textDOI:10.1016/j.jpaa.2022.107208arXiv:1805.01853hal-01786218MR4477956Zbl 07595193

  5. Real Homotopy of Configuration Spaces: Peccot Lecture, Collège de France, March & May 2020

    Najib Idrissi.
    Lecture Notes in Mathematics 2303. Cham: Springer, 2022. 210 pp. ISBN: 978-3-031-04427-4.
    Online on .
    Updated on .
    Accepted on .
    DOI:10.1007/978-3-031-04428-1hal-03821309MR4461096Zbl 07529469

  6. Boardman–Vogt resolutions and bar/cobar constructions of (co)operadic (co)bimodules

    Ricardo Campos, Julien Ducoulombier, Najib Idrissi.
    In: High. Struct. 5.1, pp. 293–366 (2021), 74 pages.
    Online on .
    Updated on .
    Accepted on .
    Full textDOI:10.21136/HS.2021.09arXiv:1911.09474hal-01786218MR4367224Zbl 7482172

  7. Formality of a higher-codimensional Swiss-Cheese operad

    Najib Idrissi.
    In: Algebr. Geom. Topol. 22.1 (2022), pp. 55–111
    Online on .
    Updated on .
    Accepted on .
    Full textDOI:10.2140/agt.2022.22.55arXiv:1809.07667hal-01878406MR4413816Zbl 07518301

  8. The Lambrechts–Stanley Model of Configuration Spaces

    Najib Idrissi.
    In: Invent. Math. (2019) 216.1, pp. 1–68.
    Online on .
    Updated on .
    Accepted on .
    Full textDOI:10.1007/s00222-018-0842-9arXiv:1608.08054hal-01438861MR3935037Zbl 07051043

  9. Swiss-Cheese Operad and Drinfeld Center

    Najib Idrissi.
    In: Israel J. Math. (2017) 221.2, pp. 941–972.
    Online on .
    Updated on .
    Accepted on .
    Full textDOI:10.1007/s11856-017-1579-7arXiv:1507.06844hal-01438863MR3704940Zbl 06808424

  10. Opérades et Structures Commutatives à Homotopie Près

    Najib Idrissi.
    In: Grad. J. Math. (2016) 1.1, pp. 9–17.
    Online on .
    Full texthal-03997161MR3848667Zbl 1497.18028Journal

Preprints

  1. Plethysm for characters of relative operads and PROPs

    Najib Idrissi, Erik Lindell.
    Preprint v1, 32 pages
    Online on .
    Full textarXiv:2505.05910hal-05061606Source

  2. A model for framed configuration spaces of points

    Ricardo Campos, Julien Ducoulombier, Najib Idrissi, Thomas Willwacher.
    Preprint v2, 47 p.
    Online on .
    Updated on .
    Full textarXiv:1807.08319hal-03835341

  3. Configuration Spaces of Surfaces

    Ricardo Campos, Najib Idrissi, Thomas Willwacher.
    Preprint v2, 50 pages.
    Online on .
    Updated on .
    Full textarXiv:1911.12281hal-02423726

Theses

  1. Structure of Configuration Spaces

    Najib Idrissi.
    Habilitation à Diriger des Recherches (HDR), Université Paris Cité
    Online on .
    Full texttel-05082275

  2. Operadic Formality and Homotopy of Configuration Spaces

    Najib Idrissi.
    Doctoral thesis, Université de Lille.
    Online on .
    Full textSourcetel-01731389UniversityDefense

  3. Homologie et complexes de déformations d’opérades $E_n$

    Najib Idrissi.
    Master's thesis, Université Paris Diderot.
    Online on .
    Full text