Curriculum Vitae

25. Mai 2021

Name: Dr. Fabian Hebestreit Address: Mathematisches Institut Universit¨at Bonn Endenicher Allee 60 53115 Bonn, Germany Office: 3.023 E-mail: [email protected] Phone: +49 228 73 62239 Web: http://www.math.uni-bonn.de/people/fhebestr Date of Birth: 14.08.1989

Education and theses 07/2006 Abitur, Ratsgymnasium Osnabruck¨ 10/2006 - 12/2010 Studies of Mathematics and Computer Science Universit¨at Osnabruck¨ 12/2010 Diploma in Mathematics, Universt¨at Osnabruck¨ Advisors: Oliver R¨ondigs, Manfred Stelzer. On topological realisation at odd primes 01/2011 - 07/2014 Graduate studies in Mathematics, WWU Munster¨ research group ‘Topology’ 07/2014 Doctorate in Mathematics, WWU Munster¨ Advisor: Michael Joachim. Twisted Spin Cobordism in progress Habilitation in Mathematics, RFWU Bonn (expected to complete 10/2021) Supervisor: Wolfgang Luck.¨ Cobordism categories in topology and algebra

1 Employment 10/2007 - 09/2010 Student assistant (Studentische Hilfskraft), Universit¨at Osnabruck¨ 01/2011 - 08/2014 Research assistant (Wissenschaftlicher Mitarbeiter), WWU Munster¨ 09/2014 - 08/2015 Research visitor, University of Notre Dame 10/2015 - 03/2017 Postdoctoral research fellow, RFWU Bonn 04/2017 - 04/2024 Lecturer (akademischer Rat auf Zeit, non-tenure track), RFWU Bonn 09/2017 - 03/2018 Visiting associate professor (Vertretung von W. Steim- le, W2), Universit¨at Augsburg, on leave from Bonn

Research Interests Homotopical Algebra, Algebraic Topology, Geometric Topology more specifically: the homotopy theory of diffeomor- phism groups and cobordism categories, their relations to quadratic forms and arithmetic groups, and to al- gebraic K- and L-theory; applications of K-theory to positive scalar curvature

Visiting Positions 02/2014 - 03/2014 Visiting scholar, University of Notre Dame, hosted by Stefan Stolz 08/2018 - 10/2018 Member of program ‘Homotopy harnessing higher struc- tures’, Newton Institute, University of Cambridge 03/2019 Visiting Scholar, Merton College, University of Oxford, hosted by Ulrike Tillmann 08/2020 - 10/2020 Guest researcher, University of Copenhagen, hosted by Søren Galatius Scholarships 02/2008 - 12/2010 Full Scholarship for studies, Studienstiftung des Deut- schen Volkes 08/2014 Oberwolfach Leipniz Travel Grant 09/2014 - 08/2015 Scholarship for year abroad, Deutscher akademischer Austauschdienst Organised Meetings 10/2013 organised Summer School ‘Field theories, conformal nets and Kac-Moody groups’, with Alan Carey, Micha- el Joachim & Daniel Kasprowski Speakers: Andr´eHenriques, Nitu Kitchloo & Stephan Stolz 06/2014 organised Summer School ‘Surgery and its applications in geometry’, with Daniel Kasprowski Speakers: Diarmuid Crowley, Frank Quinn, Oscar Randal- Williams & Thomas Schick 12/2017 organised Conference ‘Second Bavarian Geometry and Topology meeting’, with Markus Land 09/2019 organised Workshop ‘Automorphisms of manifolds’, with Wolfgang Luck¨ Speakers: Alexander Berglund, Alexander Kupers, Os- car Randal-Williams, Tadayuki Watanabe, Michael Weiss, Thomas Willwacher

Furthermore, I have organised the Topology research seminar at the Univer- sity of Bonn since 10/2015.

Invited Lectures 08/2017 Characteristic classes of manifold bundles, Mathemati- cal Colloquium, Universit¨at Augsburg 04/2019 The homotopy types of algebraic cobordism categories, 5 part lecture series, University of Oxford 06/2021 The algebraic theory of cobordism categories, 2 part lec- ture series, ICMS Edinburgh

Conference Talks 10/2013 Twisted spin cobordism, ‘Twists, generalised cohomolo- gy and applications’, WWU Munster¨ 08/2014 Twisted spin cobordism, ’Analysis, Geometry and To- pology of positive scalar curvature’, MFO 09/2016 Stable moduli spaces of odd dimensional manifolds, ‘OAC-manifolds’, University of Cambridge 11/2016 Stable moduli spaces of odd dimensional manifolds, ‘26th NRW topology meeting’, Universit¨at Osnabruck¨ 06/2017 A vanishing theorem for tautological characteristic clas- ses of aspherical manifolds, ‘Topology and Analysis in Interaction’, Scuola Normale Superiore di Pisa 08/2017 A vanishing theorem for tautological characteristic clas- ses of aspherical manifolds, ‘Topology in Ecuador’, Uni- versidad San Francisco de Quito 12/2018 The homotopy types of algebraic cobordism categories, ‘Manifolds’, University of Cambridge 12/2018 The homotopy types of algebraic cobordism categories, ‘3rd Bavarian Topology Meeting’, Universit¨at Augs- burg 12/2019 The homotopy types of algebraic cobordism categories, ‘Operads and Homotopy theory’, EPFL 04/2020 The homotopy types of algebraic cobordism categories, ‘Manifolds and Groups’, MFO 07/2020 Parametrised algebraic surgery, ‘Topologie’, MFO

Seminar talks Aberdeen, Augsburg, Berlin, Bochum(3), Bonn, Cam- bridge, Cardiff, Chicago, Copenhagen(2), Johns Hop- kins, Minnesota, Munster(4),¨ Notre Dame(2), Oregon, Osnabruck(2),¨ Oxford, Paris XIII, Regensburg(5), St- anford, Stockholm, Wuppertal

Teaching Bonn: Lecture courses: Algebraic Topology II (with T. Niko- laus), Mathematics for Geoscientists II, Introduction to higher categories, Higher categories and homotopi- cal Algebra, Algebraic and Hermitian K-theory Seminars: Real Divisionalgebras (2), Characteristic clas- ses Exercise courses: Linear Algebra I, II (J. Franke), In- troduction to Algebra (J. Franke), Topology II (D. Kasprowski) Augsburg: Lecture course: Algebraic Topology Seminars: Representations of finite groups, The space of positive scalar curvature metrics Munster:¨ Seminars: Platonic and Archimedian Solids (with U. Hartl), Hodge Theory (with M. Joachim) Exercise courses: Algebraic Topology I, II, III (C. Auso- ni), Complex Analysis II, III (M. Joachim) Osnabruck:¨ Student assistent: Algebra (2, H. Brenner, R. Vogt), Mathematics II (T. R¨omer), Real and Applied Analy- sis (2, P. Meyer Nieberg), Analysis (R. Vogt), Com- plex Analysis (R. Vogt), Precourse (2, H. Brenner, T. R¨omer), Number theory (R. Vogt), Discrete Mathema- tics (T. R¨omer), Geometry (W. Bruns)

Supervision Bachelor theses: Annette Lutz, The theorem of Dold and Kan (Bonn, 2019) Jakob Kress, The classification of fibre bundles (Bonn, 2020) Heiko Braun, Joyal’s lifting theorem (Bonn, expected 2021)

Master theses: Franziska Salzberger, Harer’s stability theorem (Augs- burg, 2018) Sil Linskens, Orthocartesian fibrations (Bonn, 2020) Andrea Lachmann, Additive and localising invariants of stable ∞-categories (Bonn, expected 2021)

Administration 10/17 - 03/18 Member of the faculty council, University of Augsburg 04/20 - present Elected representative in the faculty council, RFWU Bonn 01/21 - present Member of the Senior Search Committee for filling two Hausdorff chair positions, RFWU Bonn