I am an Assitant (Akademischer Rat auf Zeit) in the Topology group at the University of Münster; until recently, I was part of the Topology group at the University of Bonn.
During spring 2022 I visited the MittagLefflerInstitute, Stockholm, as part of the program Higher algebraic structures in algebra, topology and geometry, and towards the end of 2022 I will move to the University of Aberdeen as lecturer.
Contact Information
Address: 
Mathematisches Institut
WWU Münster
Einsteinstrasse 62
48149 Münster, Germany 
Office:  505

email:  f.hebestreit@unimuenster.de 
Office hours:  by appointment 


Research interests
Algebraic & geometric Topology, homotopical Algebra and more specifically: The homotopy theory of diffeomorphism groups and cobordism categories, and their relation to algebraic K and Ltheory, parametrised homotopy theory and its relation to operator algebras and positive scalar curvature
Preprints and Publications
 with A.Lachmann & W.Steimle: The localisation theorem for algebraic Ktheory of stable categories.
arXiv:2205.06104 (26 pages, 2022, in revision)
 with R.Haugseng, S.Linskens & J.Nuiten: Twovariable fibrations, factorisation systems and categories of spans.
arXiv:2011.11042 (59 pages, 2022, submitted)
 with R.Haugseng, S.Linskens & J.Nuiten: Lax monoidal adjunctions, twovariable fibrations and the calculus of mates.
arXiv:2011.08808 (51 pages, 2021, submitted)
 with G.Heuts & J.Ruit: A short proof of the straightening theorem.
arXiv:2111.00069 (41 pages, 2021, submitted)
 with W.Steimle: Stable moduli spaces of hermitian forms.
arXiv:2103.13911 (with an appendix by Y.Harpaz, 94 pages, 2021, submitted)
 with A.Krause: Mapping spaces in coherent nerves.
arXiv:2011.09345 (14 pages, 2020)
 with B.Calmès, E.Dotto, Y.Harpaz, M.Land, K.Moi, D.Nardin, T.Nikolaus & W.Steimle: Hermitian KTheory for stable ∞categories III: GrothendieckWitt groups of rings.
arXiv:2009.07225 (63 pages, 2020, in revision)
 with B.Calmès, E.Dotto, Y.Harpaz, M.Land, K.Moi, D.Nardin, T.Nikolaus & W.Steimle: Hermitian KTheory for stable ∞categories II: Cobordism categories and Additivity.
arXiv:2009.07224 (159 pages, 2020, in revision)
 with B.Calmès, E.Dotto, Y.Harpaz, M.Land, K.Moi, D.Nardin, T.Nikolaus & W.Steimle: Hermitian KTheory for stable ∞categories I: Foundations.
Selecta Mathematica, vol. 29, no. 1 (2023), article no. 10, 269 pages
 with M.Land & T.Nikolaus: On the homotopy type of Lspectra of the integers.
Journal of Topology, vol. 14, no. 1 (2021), pp. 183214, Erratum
 with I.Bokor, D.Crowley, S.Friedl, D.Kasprowski, M.Land & J.Nicholson: Connected sum decompositions of highdimensional manifolds.
Matrix Annals, vol. 4 (2021), pp. 530
 with S.Sagave: Homotopical and operator algebraic twisted Ktheory.
Mathematische Annalen, vol. 378 (2020), pp. 10211059
 with C.Schlichtkrull & S.Sagave: Multiplicative parametrized homotopy theory via symmetric spectra in retractive spaces.
Forum of Mathematics Sigma, vol. 8 (2020), article no. e16, 84 pages
 with M.Land, W.Lück & O.RandalWilliams: A vanishing theorem for tautological classes of aspherical manifolds.
Geometry & Topology, vol. 25 (2021), pp. 47110
 with N.Perlmutter: Cobordism categories and moduli spaces of odd dimensional manifolds.
Advances in Mathematics, vol. 353, no. 7 (2019), pp. 526590
 with M.Joachim: Twisted Spin cobordism and positive scalar curvature.
Journal of Topology, vol. 13, no. 1 (2020), pp. 158
 with S.Büscher, O.Röndigs & M.Stelzer: The Goodwillie Spectral Sequence for iterated loopspaces and topological realisation at odd primes.
Algebraic and Geometric Topology, vol. 13, no. 1 (2013), pp. 127169
Extended Abstracts
 Parametrised algebraic surgery.
Oberwolfach Reports vol. 17, no. 23, Workshop: Topologie (2020), pp. 11161121
 Algebraic Cobordism categories and GrothendieckWitt theory.
Oberwolfach Reports vol. 17, no. 1, Workshop: Manifolds and Groups (2020), pp. 437440
 The Tate Diagonal.
Oberwolfach Reports vol. 15, no. 1, Arbeitsgemeinschaft: Topological Cyclic Homology (2018), pp. 825838
 Twisted Spin Cobordism.
Oberwolfach Reports vol. 11, no. 3, Workshop: Analysis, Geometry and Topology of positive scalar curvature (2014), pp. 20132014
Teaching
In the summer term I will teach a coure on higher categories and their uses in algebraic topology and homological algebra,
Higher Categories II.
Some lecture notes: