Preprints
• Flat functors in higher topos theory
with D. Schäppi
arXiv (2022). Submitted.
• The simplicial coalgebra of chains under three different notions
of weak equivalence
with M. Rivera
arXiv (2022). Accepted for publication in IMRN.
• Bounded cohomology and homotopy colimits
arXiv (2021). Accepted for publication in Q. J. Math.
Miscellaneous Writings
• A roadmap to the (vanishing of the) Euler characteristic
with C. Löh
arXiv (2023) poster version
• Images of the Yoneda lemma : A Rhizome (2023). [pdf]
(2019/20).
• A proof of the Gillet-Waldhausen theorem (2018). [pdf]
• A remark on the Strøm model category (2018). [pdf]
• Seminar notes on -topoi (2017). [pdf]
• Notes on combinatorial model categories. [pdf]
• When is a derivator representable? (2014). [pdf]
Slides of Talks
• What is a stable n-category? [Slides]
ItaCa Fest 2022, November 2022.
• Simplicial volumes, bounded cohomology, and Euler characteristics
of (aspherical) manifolds [Slides]
Workshop Cobordisms, Strings, and Thom Spectra
BIRS-CMO, Oaxaca, 9-14 October 2022.
• Higher homotopy categories and Brown representability [Slides]
Algebra Seminar, Masaryk University (Brno), October 2021.
• Higher homotopy categories and K-theory [Slides]
Algebraic Topology Seminar, University of Warwick, June 2020.
Organization of Conferences
• CONFERENCE From Analysis to Homotopy Theory
(in honor of Ulrich Bunke's 60th birthday),
Greifswald, 13-17 May, 2024 with B. Ammann, T. Nikolaus, K. Waldorf
• WORKSHOP Algebraic K-theory of spaces
Regensburg, 24-28 July, 2023, with Ch. Winges
• Recent Advances in Bounded Cohomology
Regensburg, 26-30 September 2022, with C. Löh and M. Moraschini
• 7th Bavarian Geometry & Topology Meeting
4 December 2020 (online), with C. Scheimbauer
• WORKSHOP Derivators
Regensburg, 9-12 April 2019, with D.-C. Cisinski
• Bavarian Geometry & Topology Meeting III
Regensburg, 11-12 July 2018, with M. Land
• Homotopy Theory Workshop
Regensburg, 5 May 2018, with J. Noel
• Bavarian Geometry & Topology Meeting I
Regensburg, 23 June 2017, with W. Steimle
• WINTER SCHOOL Bordism, L-theory and real algebraic K-theory
5-9 December 2016, Kastell Windsor (Regensburg)
with U. Bunke, M. Land and N. Naumann
• SUMMER SCHOOL Algebraic K-theory and Trace Methods
Regensburg, 3-7 August 2015, with J. Noel
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Publications
27. Amenability and acyclicity in bounded cohomology
with M. Moraschini
Rev. Mat. Iberoam. 39 (2023), no. 6, 2371-404. [journal] [arXiv]
26. Dévissage for Waldhausen K-theory
Annals of K-theory 7 (2022), no. 3, 467-506. [journal] [arXiv]
25. Higher weak (co)limits, adjoint functor theorems, and higher Brown
representability
with H. K. Nguyen and C. Schrade
Doc. Math. 27 (2022), 1369-1420. [journal] [arXiv]
24. On the simplicial volume and the Euler characteristic of (aspherical)
manifolds
with C. Löh and M. Moraschini
Res. Math. Sci. 9, Article no. 44 (2022). [journal] [arXiv]
23. Higher homotopy categories, higher derivators, and K-theory
Forum of Mathematics, Sigma, 10 (2022), e54. [journal] [arXiv]
22. On the h-cobordism category. I
with W. Steimle
Int. Math. Res. Not. 23 (2021), 18118-18148. [journal] [arXiv]
21. On transfer maps in the algebraic K-theory of spaces
Math. Z. 297 (2021), 729-745. [journal] [arXiv]
20. Topological manifold bundles and the A-theory assembly map
with W. Steimle
Proc. Amer. Math. Soc. 148 (2020), 3787-3799. [journal] [arXiv]
19. Adjoint functor theorems for ∞-categories
with H. K. Nguyen and C. Schrade
J. London Math. Soc. 101 (2020), no. 2, 659-681. [journal] [arXiv]
18. Some characterizations of acyclic maps
J. Homotopy Relat. Struct. 14 (2019), 773-785 [journal] [pdf] [arXiv]
17. A cobordism model for Waldhausen K-theory
with W. Steimle
J. London Math. Soc. 99 (2019), no. 2, 516-534. [journal] [arXiv]
16. Model topoi and motivic homotopy theory
with F. Strunk
Doc. Math. 23 (2018), 1757-1797. [journal] [arXiv]
15. A remark on configuration spaces of two points
with P. Salvatore
Proc. Edinburgh Math. Soc. 61 (2018), no. 2, 599-605. [journal] [arXiv]
14. Small presentations of model categories and Vopěnka's principle
with J. Rosický
Homology, Homotopy, Appl. 20 (2018), no. 1, 303-328. [journal] [arXiv] [Erratum]
13. The realization space of an unstable coalgebra
with G. Biedermann and M. Stelzer
Astérisque 393 (2017). [journal] [arXiv]
12. Parametrized cobordism categories and the Dwyer-Weiss-Williams index theorem
with W. Steimle
J. Topol. 10 (2017), no. 3, 700-719. [journal] [arXiv]
11. On Serre microfibrations and a lemma of M. Weiss
Glasg. Math. J. 59 (2017), no. 3, 649-657. [journal] [pdf]
10. K-theory of derivators revisited
with F. Muro
Annals of K-theory 2 (2017), no. 2, 303-340. [journal] [arXiv]
9. The accessibility rank of weak equivalences
with J. Rosický
Theory Appl. Categ. 30 (2015), no. 19, 687-703. [journal] [arXiv]
8. On the map of Bökstedt-Madsen from the cobordism category to A-theory
with W. Steimle
Algebr. Geom. Topol. 14 (2014), no. 1, 299-347. [journal] [arXiv]
7. On the homotopy type of certain cobordism categories of surfaces
Int. Math. Res. Not. 8 (2014), 2037-2089. [journal] [arXiv]
6. Simplicial presheaves of coalgebras
Algebr. Geom. Topol. 13 (2013), no. 4, 1967-2000. [journal] [arXiv]
5. A note on K-theory and triangulated derivators
with F. Muro
Adv. Math. 227 (2011), no. 5, 1827-1845. [journal] [arXiv]
4. Some remarks on configuration spaces
Proc. Amer. Math. Soc. 139 (2011), no. 5, 1879-1887. [journal]
3. Homotopy theory of posets
Homology, Homotopy Appl. 12 (2010), no. 2, 211-230. [journal]
2. On a conjecture by J.H. Smith
Theory Appl. Categ. Vol. 24 (2010), no. 5, 114-116. [journal]
1. On the cofibrant generation of model categories
J. Homotopy Relat. Struct. 4 (2009), no. 1, 245-253. [journal] [arXiv]
An Erratum is contained in [arXiv][journal] (Section 5).
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