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.

Collaborators

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

Preprints

Plethysm for characters of relative operads and PROPs

Authors

N. I., Erik Lindell.

Publication

Preprint v2, 34 p.

Online

Online May 7, 2025.

Updated

Updated June 16, 2025.

Full text

Full text.
arXiv:2505.05910

arXiv:2505.05910.
hal-05061606

hal-05061606.
Source

Source.
A model for framed configuration spaces of points

Authors

Ricardo Campos, Julien Ducoulombier, N. I., Thomas Willwacher.

Publication

Preprint v2, 47 p.

Online

Online July 22, 2018.

Updated

Updated February 4, 2025.

Full text

Full text.
arXiv:1807.08319

arXiv:1807.08319.
hal-03835341

hal-03835341.
Configuration Spaces of Surfaces

Authors

Ricardo Campos, N. I., Thomas Willwacher.

Publication

Preprint v2, 50 p.

Online

Online November 27, 2019.

Updated

Updated April 3, 2020.

Full text

Full text.
arXiv:1911.12281

arXiv:1911.12281.
hal-02423726

hal-02423726.

Publications

Homotopy Prefactorization Algebras

Authors

N. I., Eugene Rabinovich.

Publication

In: Res. Math. Sci. 11.45 (2024).

Online

Online April 25, 2023.

Accepted

Accepted June 5, 2024.

Updated

Updated June 24, 2024.

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.
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 March 29, 2023.

Accepted

Accepted October 19, 2023.

Updated

Updated April 16, 2024.

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.
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 February 2, 2018.

Accepted

Accepted June 28, 2023.

Updated

Updated July 31, 2023.

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

Author

N. I.

Publication

J. Pure Appl. Algebra 227.3 (2023).

Online

Online May 4, 2018.

Accepted

Accepted August 22, 2022.

Updated

Updated August 22, 2022.

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.
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 March 30, 2021.

Accepted

Accepted January 26, 2022.

Updated

Updated January 26, 2022.

10.1007/978-3-031-04428-1

10.1007/978-3-031-04428-1.
hal-03821309

hal-03821309.
MR4461096

MR4461096.
Zbl07529469

Zbl07529469.
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 November 21, 2019.

Accepted

Accepted July 1, 2021.

Updated

Updated July 3, 2021.

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.
Formality of a higher-codimensional Swiss-Cheese operad

Author

N. I.

Publication

In: Algebr. Geom. Topol. 22.1 (2022), pp. 55–111.

Online

Online September 20, 2018.

Accepted

Accepted December 8, 2020.

Updated

Updated November 3, 2020.

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.
The Lambrechts–Stanley Model of Configuration Spaces

Author

N. I.

Publication

In: Invent. Math. (2019) 216.1, pp. 1–68.

Online

Online October 29, 2016.

Accepted

Accepted November 15, 2018.

Updated

Updated December 8, 2018.

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.
Swiss-Cheese Operad and Drinfeld Center

Author

N. I.

Publication

In: Israel J. Math. (2017) 221.2, pp. 941–972.

Online

Online July 24, 2015.

Accepted

Accepted January 10, 2017.

Updated

Updated January 10, 2017.

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.
Opérades et Structures Commutatives à Homotopie Près

Author

N. I.

Publication

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

Online

Online September 1, 2016.

Full text

Full text.
hal-03997161

hal-03997161.
MR3848667

MR3848667.
Zbl1497.18028

Zbl1497.18028.
Journal

Journal.

Theses

Structure of Configuration Spaces

Author

N. I.

Publication

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

Online

Online May 22, 2025.

Full text

Full text.
Source

Source.
tel-05082275

tel-05082275.
Defense

Defense.
Operadic Formality and Homotopy of Configuration Spaces

Author

N. I.

Publication

Doctoral thesis, Université de Lille.

Online

Online November 17, 2017.

Full text

Full text.
Source

Source.
tel-01731389

tel-01731389.
University

University.
Defense

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

Author

N. I.

Publication

Master's thesis, Université Paris Diderot.

Online

Online June 30, 2014.

Full text

Full text.