Publications and Preprints

On this page is the list of my publications and preprints.

Below, you will find a chronological list, and here you can find a list organized by themes.

• Separable commutative algebras in equivariant homotopy theory, with Niko Naumann and Luca Pol. arXiv link. Journal für die reine und angewandte Mathematik (Crelles Journal). doi.org/10.1515/crelle-2026-0027
• A monoidal Grothendieck construction for \(\infty\)-categories. arXiV link. Nagoya Mathematical Journal. Published online 2025:1-32. doi:10.1017/nmj.2025.10086
• Universality of Barwick's unfurling construction, with Bastiaan Cnossen and Tobias Lenz. arXiv link. International Mathematical Research Notices, Volume 2025, Issue 18, September 2025
• Characters and transfer maps via categorified traces, with Shachar Carmeli, Bastiaan Cnossen and Lior Yanovski. arXiV link. Forum of Mathematics, Sigma, vol. 13, 2025, e93.
• A note on quadratic forms, with Fabian Hebestreit and Achim Krause. arXiV link. Bulletin of the London Mathematical Society, vol. 56, no. 5 (2024), pp. 1803-1818
• An elementary proof of the naturality of the Yoneda embedding. arXiV link. Proceedings of the American Mathematical Society. 151, 10, p. 4163-4171
• On the multiplicativity of the Euler characteristic, with John Klein and Cary Malkiewich. arXiV link. Proceedings of the American Mathematical Society. 151, 11, p. 4997-5006 10 p.
• A multiplicative comparison of MacLane homology and topological Hochschild homology, with Geoffroy Horel. arXiv link. Annals of K-theory, Vol. 6 (2021), No.3, 571-605
• On the Degree of irreducible polynomials, RMS, Revue de la Filière Mathématiques, April 2018

• \(\mathrm{Mot}^{\mathrm{loc}}\) is not compactly generated. arXiv link.
• The Galois theory of G-spectra and the Burnside ring, with Niko Naumann and Luca Pol. arXiv link (submitted)
• Chromatic Noshift. arXiv link (submitted). A video of an online talk on this topic at the Siyuan algebraic topology seminar. You can find the slides here.
• Free rigid commutative algebras. arXiv link. Accepted for publication in the Tunisian Journal of Mathematics. Here are some slides for a talk I gave on this topic at the Texas Tech Topology and Geometry seminar.
• Geometric Points in Tensor Triangular Geometry, with Tobias Barthel and Logan Hyslop. arXiv link (submitted)
• Equivariant localizing motives and multiplicative norms on algebraic K-theory, with Kaif Hilman. arXiv link
• \(K(1)\)-local K-theory of Azumaya algebras. arXiv link (submitted)
• Localizing motives of Azumaya algebras. arXiv link (submitted)
• \(p\)-perfection and group completion of \(\mathbb{E}_{\infty}\)-monoids, with Mura Yakerson. arXiv link. Accepted for publication in Documenta Mathematica. Mura made a video about this paper.
• Every motive is the motive of a stable \(\infty\)-category, with Vova Sosnilo and Christoph Winges. arXiv link. Accepted for publication in the Journal of the European Mathematical Society. A recording of a talk I gave on this topic.
• On endomorphisms of topological Hochschild homology. arXiv link (submitted). A video of a talk on this topic.
• Fully faithful functors and pushouts of \(\infty\)-categories, with Peter Haine and Jan Steinebrunner. arXiv link. (submitted)
• A symmetric monoidal fracture square, with Niko Naumann and Luca Pol. arXiv link (submitted)
• Locally rigid \(\infty\)-categories. arXiV link (Submitted)
• Dualizable presentable \(\infty\)-categories. arXiV link (Submitted). A recording of a related online talk.
• Every spectrum is the K-theory spectrum of a stable \(\infty\)-category, with Vova Sosnilo and Christoph Winges. arXiv link (submitted). A video of an online talk on this result.
• Separability in homotopical algebra. arXiV link (submitted - the version that is in my thesis)
• The additivity of traces in stable \(\infty\)-categories. arXiV link

Here is the manuscript of my PhD thesis, which I successfully defended in Copenhagen in 2024. Part I is a modified version of my paper Separability in homotopical algebra, which will soon be a revision of said paper; while Part II will soon be available as a preprint of its own (part of it appears in my paper on endomorphisms of THH).