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.

Preprints

  1. Plethysm for characters of relative operads and PROPs

    NI, Erik Lindell. Preprint v1, 32 pages Online on .

  2. A model for framed configuration spaces of points

    Ricardo Campos, Julien Ducoulombier, NI, Thomas Willwacher. Preprint v2, 47 p. Online on . Updated on .

  3. Configuration Spaces of Surfaces

    Ricardo Campos, NI, Thomas Willwacher. Preprint v2, 50 pages. Online on . Updated on .

Publications

  1. Homotopy Prefactorization Algebras

    NI, Eugene Rabinovich. In: Res. Math. Sci. 11.45 (2024) Online on . Accepted on . Updated on .

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

    NI, Renato Vasconcellos Vieira. In: Q. J. Math. 75.1 (2024), pp. 63-95 Online on . Accepted on . Updated on .

  3. Configuration Spaces of Manifolds with Boundary

    Ricardo Campos, NI, Pascal Lambrechts, Thomas Willwacher. Astérisque 449 (2024), ISBN: 978-2-85629-990-6 Online on . Accepted on . Updated on .

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

    NI. J. Pure Appl. Algebra 227.3 (2023) Online on . Accepted on . Updated on .

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

    NI. Lecture Notes in Mathematics 2303. Cham: Springer, 2022. 210 pp. ISBN: 978-3-031-04427-4. Online on . Accepted on . Updated on .

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

    Ricardo Campos, Julien Ducoulombier, NI. In: High. Struct. 5.1, pp. 293–366 (2021), 74 pages. Online on . Accepted on . Updated on .

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

    NI. In: Algebr. Geom. Topol. 22.1 (2022), pp. 55–111 Online on . Accepted on . Updated on .

  8. The Lambrechts–Stanley Model of Configuration Spaces

    NI. In: Invent. Math. (2019) 216.1, pp. 1–68. Online on . Accepted on . Updated on .

  9. Swiss-Cheese Operad and Drinfeld Center

    NI. In: Israel J. Math. (2017) 221.2, pp. 941–972. Online on . Accepted on . Updated on .

  10. Opérades et Structures Commutatives à Homotopie Près

    NI. In: Grad. J. Math. (2016) 1.1, pp. 9–17. Online on .

Theses

  1. Structure of Configuration Spaces

    NI. Habilitation à Diriger des Recherches (HDR), Université Paris Cité Online on .

  2. Operadic Formality and Homotopy of Configuration Spaces

    NI. Doctoral thesis, Université de Lille. Online on .

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

    NI. Master's thesis, Université Paris Diderot. Online on .