Homology manifolds via six functor formalisms. Joint with M. Volpe. arXiv
Grothendieck-Witt theory of derived schemes. Joint with M. Hoyois. arXiv
Formality of E_n-algebras and cochains of spheres. Joint with G. Heuts. arXiv
Homology manifolds and euclidean bundles. Joint with F. Hebestreit, C. Winges, and M. Weiss. arXiv
A survey on operator K-theory via homotopical algebra. Joint with U. Bunke and U. Pennig. arXiv
Remarks on chromatically localised hermitian K-theory. arXiv
A stable \infty-category for equivariant KK-theory. arXiv
Publications
Towards the classification of DGAs with polynomial homology. Accepted for publication at Compositio Mathematica. Joint with H. Ö. Bayındır. arXiv
Paschke duality and assembly maps. Accepted for publication at New York Journal of Mathematics. Joint with U. Bunke and A. Engel. arXiv
On the K-theory of pushouts. J. Eur. Math. Soc. (JEMS) 2026, published online first. Joint with G. Tamme. arXiv
Hermitian K-theory for stable \infty-categories III: Grothendieck--Witt groups of rings. Accepted for publication at Ann. of. Math. Joint with B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, D. Nardin, T. Nikolaus, and W. Steimle. arXiv
Hermitian K-theory for stable infinity-categories II: Cobordism categories and additivity.Acta Math. 235 (2025), no. 2, 149--400. Joint with B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, D. Nardin, T. Nikolaus, and W. Steimle. arXiv
Purity in chromatically localized algebraic K-theory.J. Amer. Math. Soc. 37 (2024) no.4, 1011--1040. Joint with A. Mathew, L. Meier, and G. Tamme. arXiv
L-theory of C*-algebras.Proc. London Math. Soc. (3) 127 (2023) no. 5, 1451--1506. Joint with T. Nikolaus and M. Schlichting. arXiv
Gabber rigidity in hermitian K-theory.Proceedings of the Royal Society of Edinburgh Section A: Mathematics (Ranicki memorial issue). arXiv
Hermitian K-theory for stable infinity-categories I: Foundations.Selecta Mathematica, Volume 29, Issue 1 (2023). Joint with B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, D. Nardin, T. Nikolaus, and W. Steimle. arXiv
Reducibility of low dimensional Poincaré duality spaces.Münster J. of Math. 15 (2022) 47--81. arXiv
Topological 4-manifolds with 4-dimensional fundamental group.Glasgow Math. J. 64, (2022), no. 2, 454--461. Joint with D. Kasprowski. arXiv
Topologically flat embedded 2-spheres in specific simply connected 4-manifolds.2019--20 MATRIX annals, 111-116, MATRIX Book Ser., 4, Springer, Cham, 2021. Joint with D. Kasprowski, P. Lambert-Cole and A. G. Lecuona. arXiv
Connected sum decompositions of high-dimensional manifolds. 2019--20 MATRIX annals, 5-30, MATRIX Book Ser., 4, Springer, Cham, 2021. Joint with I. Bokor, D. Crowley, S. Friedl, F. Hebestreit, D. Kasprowski, and J. Nicholson. arXiv
On the homotopy type of L-spectra of the integers.J. Topol. 14, (2021), no. 1, 183--214. Joint with F. Hebestreit and T. Nikolaus. arXiv The published version contains an erroneous (but for the paper irrelevant) remark in the appendix. You can find a corrected version of said remark here.
A Vanishing theorem for tautological classes of aspherical manifolds. Geometry & Topology 25-1 (2021), 47--110. Joint with F. Hebestreit, W. Lück and O. Randal-Williams. arXiv
On the K-theory of pullbacks. Ann. of Math. (2) 190 (2019), no. 3, 877--930. Joint with G. Tamme. arXiv
On the relation between K- and L-theory of C*-algebras. Math. Ann. 371 (2018), no. 1-2, 517--563. Joint with T. Nikolaus. arXiv
Localization of Cofibration categories and groupoid C*-algebras. Algebr. Geom. Topol. 17 (2017), no. 5, 3007--3020. Joint with T. Nikolaus and K. Szumiło.
Stable Classification of 4-manifolds with 3-manifold fundamental group. J. Topol. 10, (2017), no. 3, 827--881. arXiv
The Analytical Assembly map and Index theory.J. Noncommut. Geom. 9 (2015), no. 2, 603--619. arXiv
Book
Introduction to Infinity-categories. Compact Textbooks in mathematics, Birkhäuser, Cham, 2021. Springer