Chromatic homotopy theory of spaces

Project Information

ChromSpaces

Grant agreement ID: 950048

DOI

10.3030/950048

Project closed

EC signature date 17 August 2020

Start date 1 January 2021

End date 30 June 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 500 000,00

EU contribution

€ 1 500 000,00

Coordinated by

UNIVERSITEIT UTRECHT
Netherlands

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Other (14)

The dga of planar loops when (2n=4)

Author(s): Guy Boyde
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2511.15653

Chromatic Euler characteristics and duality for infinite groups

Author(s): Gijs Heuts, Irakli Patchkoria
Published in: 2026
Publisher: arXiv
DOI: 10.48550/arxiv.2606.28107

Realification of stably trivial vector bundles

Author(s): Guy Boyde, Niall Taggart
Published in: 2026
Publisher: arXiv
DOI: 10.48550/arxiv.2606.26837

Homological stability and Graham-Lehrer cellular algebras

Author(s): Boyde, Guy
Published in: Issue 1, 2023
Publisher: arxiv.org
DOI: 10.48550/arxiv.2310.00373

Symplectic Weiss calculi

Author(s): Matthew Carr, Niall Taggart
Published in: 2024
Publisher: arXiv.org
DOI: 10.48550/arxiv.2404.11796

On the chain rule in Goodwillie calculus

Author(s): Blans, M.; Blom, T. ; https://orcid.org/0009-0003-9877-9090
Published in: arXiv, Issue 2, 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2410.20504

Stable homology isomorphisms for the partition and Jones annular algebras

Author(s): Guy Boyde
Published in: arXiv preprint, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2308.03214

On periodic homotopy and homology equivalences of spaces

Author(s): Shaul Barkan, Gijs Heuts, and Yuqing Shi
Published in: 2026
Publisher: arXiv
DOI: 10.48550/arxiv.2604.10867

Free algebras via monoidal envelopes

Author(s): Max Blans, Sil Linskens
Published in: 2026
Publisher: arXiv
DOI: 10.48550/arxiv.2605.03150

A characterization of the spectral Lie operad

Author(s): Max Blans, Gijs Heuts
Published in: 2026
Publisher: arXiv
DOI: 10.48550/arxiv.2606.17313

Koszul duality and a classification of stable Weiss towers

Author(s): Malin, C.; Taggart, N.
Published in: arXiv, Issue 3, 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2409.01335

Formality of $\mathbb{E}_n$-algebras and cochains on spheres

Author(s): Heuts, Gijs; Land, Markus
Published in: Issue 1, 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2407.00790

Even Temperley–Lieb algebras and the dga of planar loops

Author(s): Rachael Boyd, Guy Boyde, Oscar Randal-Williams, Robin J. Sroka
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2511.08550

Koszul duality and a conjecture of Francis-Gaitsgory

Author(s): Heuts, Gijs
Published in: Issue 1, 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2408.06173

Non-peer reviewed articles (1)

Idempotents and homology of diagram algebras

Author(s): Guy Boyde
Published in: Mathematische Annalen, Issue 391, 2025, Page(s) 2173-2207, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-024-02960-3

Peer reviewed articles (11)

The localization of orthogonal calculus with respect to homology

Author(s): Niall Taggart
Published in: Algebraic & Geometric Topology, Issue 24, 2024, Page(s) 1505-1549, ISSN 1472-2747
Publisher: Geometry & Topology Publications
DOI: 10.2140/agt.2024.24.1505

Comparing orthogonal calculus and calculus with Reality

Author(s): Niall Taggart
Published in: Mathematische Zeitschrift, Issue 307, 2024, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-024-03545-1

The Goodwillie calculus of polyhedral products

Author(s): Guy Boyde, Niall Taggart
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2026, Page(s) 1-26, ISSN 0308-2105
Publisher: The RSE Scotland Foundation
DOI: 10.1017/prm.2026.10169

Partition complexes and trees

Author(s): Gijs Heuts; Ieke Moerdijk
Published in: Proc. Amer. Math. Soc., Issue 151, 2023, Page(s) 2723-2732, ISSN 1088-6826
Publisher: AMS
DOI: 10.48550/arxiv.2112.08043

A short proof of the straightening theorem

Author(s): Fabian Hebestreit, Gijs Heuts, Jaco Ruit
Published in: Transactions of the American Mathematical Society, Series B, Issue 12, 2026, Page(s) 697-747, ISSN 2330-0000
Publisher: American Mathematical Society (AMS)
DOI: 10.1090/btran/225

Some asymptotic formulae for torsion in homotopy groups

Author(s): Guy Boyde, Ruizhi Huang
Published in: Canadian Journal of Mathematics, 2023, ISSN 1496-4279
Publisher: Cambridge University Press
DOI: 10.4153/s0008414x2300041x

Stable homology isomorphisms for the partition and Jones annular algebras

Author(s): Guy Boyde
Published in: Selecta Mathematica, Issue 30, 2024, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-024-00992-w

Poincaré–Birkhoff–Witt theorems in higher algebra

Author(s): Omar Antolín-Camarena, Lukas Brantner, Gijs Heuts
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Issue 384, 2026, ISSN 1364-503X
Publisher: Royal Society of London
DOI: 10.1098/rsta.2024.0410

Derived Lie algebras in geometry and topology

Author(s): Lukas Brantner, Gijs Heuts
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Issue 384, 2026, ISSN 1364-503X
Publisher: Royal Society of London
DOI: 10.1098/rsta.2026.0060

Recovering unitary calculus from calculus with reality

Author(s): Niall Taggart
Published in: Journal of Pure and Applied Algebra, Issue 227.12, 2023, ISSN 0022-4049
Publisher: Elsevier BV
DOI: 10.1016/j.jpaa.2023.107416

Unitary calculus: model categories and convergence

Author(s): Niall Taggart
Published in: Journal of Homotopy and Related Structures, 2022, ISSN 1512-2891
Publisher: Springer
DOI: 10.1007/s40062-022-00311-0

Monographic books (1)

Simplicial and dendroidal homotopy theory

Author(s): Gijs Heuts, Ieke Moerdijk
Published in: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 75, 2022, ISBN 9783031104473
Publisher: Springer Nature
DOI: 10.1007/978-3-031-10447-3

Thesis and dissertations (1)

The chain rule in Goodwillie calculus

Author(s): Max Alban Blans
Published in: 2026
Publisher: Utrecht University Library
DOI: 10.33540/3140