Najib Idrissi's math page

About me

Logo of Université Paris Cité
Associate professor (maître de conférences) at Université Paris Cité
Logo of Institut de Mathématiques de Jussieu–Paris Rive Gauche
Institut de Mathématiques de Jussieu–Paris Rive Gauche (IMJ-PRG), deputy manager of the team-project Algebraic Geometry & Topology (TGA)
Logo of the Agence Nationale de la Recherche
Scientific coordinator of the ANR Young Researcher grant Structure and Homotopy of Configuration Spaces (SHoCoS)
Logo of Institut Universitaire de France
Junior Member of the Institut Universitaire de France (IUF) for 2025–2030

My full last name is “Idrissi-Kaïtouni” and you may find this spelling in some places, e.g., my email address.

Contact

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,  ORCID.

Preprints

  1. Plethysm for characters of relative operads and PROPs

    Authors
    N. I., Erik Lindell.
    Publication
    Preprint v2, 34 p.
    Online
    Online .
    Updated
    Updated .
    Full text
    Full text.
    arXiv:2505.05910
    arXiv:2505.05910.
    hal-05061606
    hal-05061606.
    Source
    Source.

  2. A model for framed configuration spaces of points

    Authors
    Ricardo Campos, Julien Ducoulombier, N. I., Thomas Willwacher.
    Publication
    Preprint v2, 47 p.
    Online
    Online .
    Updated
    Updated .
    Full text
    Full text.
    arXiv:1807.08319
    arXiv:1807.08319.
    hal-03835341
    hal-03835341.

  3. Configuration Spaces of Surfaces

    Authors
    Ricardo Campos, N. I., Thomas Willwacher.
    Publication
    Preprint v2, 50 p.
    Online
    Online .
    Updated
    Updated .
    Full text
    Full text.
    arXiv:1911.12281
    arXiv:1911.12281.
    hal-02423726
    hal-02423726.

Publications

  1. Homotopy Prefactorization Algebras

    Authors
    N. I., Eugene Rabinovich.
    Publication
    In: Res. Math. Sci. 11.45 (2024).
    Online
    Online .
    Accepted
    Accepted .
    Updated
    Updated .
    Full text
    Full text.
    10.1007/s40687-024-00456-9
    10.1007/s40687-024-00456-9.
    arXiv:2304.13011
    arXiv:2304.13011.
    hal-04082483
    hal-04082483.
    MR4763063
    MR4763063.
    Zbl07875603
    Zbl07875603.

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

    Authors
    N. I., Renato Vasconcellos Vieira.
    Publication
    In: Q. J. Math. 75.1 (2024), pp. 63-95.
    Online
    Online .
    Accepted
    Accepted .
    Updated
    Updated .
    Full text
    Full text.
    10.1093/qmath/haad041
    10.1093/qmath/haad041.
    arXiv:2303.16979
    arXiv:2303.16979.
    hal-04053257
    hal-04053257.
    MR4732946
    MR4732946.
    Zbl07936839
    Zbl07936839.
    Source
    Source.

  3. Configuration Spaces of Manifolds with Boundary

    Authors
    Ricardo Campos, N. I., Pascal Lambrechts, Thomas Willwacher.
    Publication
    Astérisque 449 (2024), ISBN: 978-2-85629-990-6.
    Online
    Online .
    Accepted
    Accepted .
    Updated
    Updated .
    Full text
    Full text.
    10.24033/ast.1222
    10.24033/ast.1222.
    arXiv:1802.00716
    arXiv:1802.00716.
    hal-01721634
    hal-01721634.
    MR4764220
    MR4764220.
    Zbl07882597
    Zbl07882597.

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

    Author
    N. I.
    Publication
    J. Pure Appl. Algebra 227.3 (2023).
    Online
    Online .
    Accepted
    Accepted .
    Updated
    Updated .
    Full text
    Full text.
    10.1016/j.jpaa.2022.107208
    10.1016/j.jpaa.2022.107208.
    arXiv:1805.01853
    arXiv:1805.01853.
    hal-01786218
    hal-01786218.
    MR4477956
    MR4477956.
    Zbl07595193
    Zbl07595193.

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

    Author
    N. I.
    Publication
    Lecture Notes in Mathematics 2303. Cham: Springer, 2022. 210 pp. ISBN: 978-3-031-04427-4.
    Online
    Online .
    Accepted
    Accepted .
    Updated
    Updated .
    10.1007/978-3-031-04428-1
    10.1007/978-3-031-04428-1.
    hal-03821309
    hal-03821309.
    MR4461096
    MR4461096.
    Zbl07529469
    Zbl07529469.

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

    Authors
    Ricardo Campos, Julien Ducoulombier, N. I.
    Publication
    In: High. Struct. 5.1, pp. 293–366 (2021), 74 pages.
    Online
    Online .
    Accepted
    Accepted .
    Updated
    Updated .
    Full text
    Full text.
    10.21136/HS.2021.09
    10.21136/HS.2021.09.
    arXiv:1911.09474
    arXiv:1911.09474.
    hal-01786218
    hal-01786218.
    MR4367224
    MR4367224.
    Zbl7482172
    Zbl7482172.

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

    Author
    N. I.
    Publication
    In: Algebr. Geom. Topol. 22.1 (2022), pp. 55–111.
    Online
    Online .
    Accepted
    Accepted .
    Updated
    Updated .
    Full text
    Full text.
    10.2140/agt.2022.22.55
    10.2140/agt.2022.22.55.
    arXiv:1809.07667
    arXiv:1809.07667.
    hal-01878406
    hal-01878406.
    MR4413816
    MR4413816.
    Zbl07518301
    Zbl07518301.

  8. The Lambrechts–Stanley Model of Configuration Spaces

    Author
    N. I.
    Publication
    In: Invent. Math. (2019) 216.1, pp. 1–68.
    Online
    Online .
    Accepted
    Accepted .
    Updated
    Updated .
    Full text
    Full text.
    10.1007/s00222-018-0842-9
    10.1007/s00222-018-0842-9.
    arXiv:1608.08054
    arXiv:1608.08054.
    hal-01438861
    hal-01438861.
    MR3935037
    MR3935037.
    Zbl07051043
    Zbl07051043.

  9. Swiss-Cheese Operad and Drinfeld Center

    Author
    N. I.
    Publication
    In: Israel J. Math. (2017) 221.2, pp. 941–972.
    Online
    Online .
    Accepted
    Accepted .
    Updated
    Updated .
    Full text
    Full text.
    10.1007/s11856-017-1579-7
    10.1007/s11856-017-1579-7.
    arXiv:1507.06844
    arXiv:1507.06844.
    hal-01438863
    hal-01438863.
    MR3704940
    MR3704940.
    Zbl06808424
    Zbl06808424.

  10. Opérades et Structures Commutatives à Homotopie Près

    Author
    N. I.
    Publication
    In: Grad. J. Math. (2016) 1.1, pp. 9–17.
    Online
    Online .
    Full text
    Full text.
    hal-03997161
    hal-03997161.
    MR3848667
    MR3848667.
    Zbl1497.18028
    Zbl1497.18028.
    Journal
    Journal.

Theses

  1. Structure of Configuration Spaces

    Author
    N. I.
    Publication
    Habilitation à Diriger des Recherches (HDR), Université Paris Cité.
    Online
    Online .
    Full text
    Full text.
    Source
    Source.
    tel-05082275
    tel-05082275.
    Defense
    Defense.

  2. Operadic Formality and Homotopy of Configuration Spaces

    Author
    N. I.
    Publication
    Doctoral thesis, Université de Lille.
    Online
    Online .
    Full text
    Full text.
    Source
    Source.
    tel-01731389
    tel-01731389.
    2017LIL10078
    2017LIL10078.
    Defense
    Defense.

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

    Author
    N. I.
    Publication
    Master's thesis, Université Paris Diderot.
    Online
    Online .
    Full text
    Full text.

Teaching for 2025−2026

  1. Algèbre (2025−2026)

    Institution
    Université Paris Cité.
    Cursus
    M1 Mathématiques-Informatique Cryptographie (S1).
    Responsibilities
    Lectures: 24h, Exercise sessions: 33h.
    Notes
    Notes.
    TD
    TD.
    CC1 (corrigé)
    CC1 (corrigé).
    CC2 (corrigé)
    CC2 (corrigé).
    Exam (corrigé)
    Exam (corrigé).

Recent & upcoming talks

  1. International Conference on Operad Theory and Related Topics @ TianYuan Mathematics Research Center (TYMRC)

    Title
    TBA.
    Event
    International Conference on Operad Theory and Related Topics.
    Location
    TianYuan Mathematics Research Center (TYMRC).
    On
    On [TBA].

  2. Moduli spaces and graph complexes in algebra, geometry and physics @ Les Diablerets

    Title
    TBA.
    Event
    Moduli spaces and graph complexes in algebra, geometry and physics.
    Location
    Les Diablerets.
    On
    On [TBA].
    Event page
    Event page.

  3. Topology seminar @ Stockholm University & KTH

    Title
    Plethysm for colored operads and prop(erad)s.
    Event
    Topology seminar.
    Location
    Stockholm University & KTH.
    On
    On .
    Related work
    Related work.
    Notes
    Notes.

  4. Séminaire de géométrie @ Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Title
    Introduction aux espaces de configuration des variétés.
    Event
    Séminaire de géométrie.
    Location
    Institut de Mathématiques de Jussieu-Paris Rive Gauche.
    On
    On .
    Event page
    Event page.
    Notes
    Notes.

  5. Séminaire ART @ Université de Strasbourg

    Title
    Pléthysme pour les opérades colorées et les prop(érade)s.
    Event
    Séminaire ART.
    Location
    Université de Strasbourg.
    On
    On .
    Related work
    Related work.
    Event page
    Event page.
    Notes
    Notes.

  6. Soutenance Habilitation à Diriger des Recherches (HDR) @ Université Paris Cité

    Title
    Structure of Configuration Spaces.
    Event
    Soutenance Habilitation à Diriger des Recherches (HDR).
    Location
    Université Paris Cité.
    On
    On .
    Related work
    Related work.
    Full text
    Full text.
    Slides
    Slides.

  7. Algebra/Topology Seminar @ University of Copenhagen

    Title
    (Non-)formality of Swiss-Cheese operads.
    Event
    Algebra/Topology Seminar.
    Location
    University of Copenhagen.
    On
    On .
    Related work
    Related work.
    Event page
    Event page.
    Notes
    Notes.

  8. Séminaire de topologie @ Université de Lille

    Title
    (Non-)formalité des opérades Swiss-Cheese.
    Event
    Séminaire de topologie.
    Location
    Université de Lille.
    On
    On .
    Related work
    Related work.
    Event page
    Event page.
    Notes
    Notes.

  9. Topology Intercity Seminar (TopICS) @ Utrecht Universiteit

    Title
    (Non-)formality of Swiss-Cheese operads.
    Event
    Topology Intercity Seminar (TopICS).
    Location
    Utrecht Universiteit.
    On
    On .
    Related work
    Related work.
    Event page
    Event page.
    Notes
    Notes.

  10. Topology seminar @ Università degli studi di Roma "Tor Vergata"

    Title
    (Non-)formality of Swiss-Cheese operads.
    Event
    Topology seminar.
    Location
    Università degli studi di Roma "Tor Vergata".
    On
    On .
    Related work
    Related work.
    Event page
    Event page.
    Notes
    Notes.

Recent blog posts

  1. Using SageMath to compute Massey products

    Published
    Published .

  2. Appointment at the Institut Universitaire de France

    Published
    Published .
    Updated
    Updated .

  3. Habilitation defended successfully

    Published
    Published .
    Full text
    Full text.
    Slides
    Slides.
    Source
    Source.

  4. Fun with DALL-E 2

    Published
    Published .

  5. ANR Young researcher project “Structure and Homotopy of Configuration Spaces” (SHoCoS)

    Published
    Published .

  6. “Real Homotopy of Configuration Spaces” is out

    Published
    Published .

  7. LaTeX shenanigans

    Published
    Published .
    Source
    Source.

  8. Using math software for teaching calculus

    Published
    Published .

  9. Peccot Lecture notes accepted in Lecture Notes in Mathematics

    Published
    Published .
    10.1007/978-3-031-04428-1
    10.1007/978-3-031-04428-1.

  10. Naming news for 2022

    Published
    Published .