Prof. Dr. Wolfgang Steimle
Erasmusbeauftragter am Institut der Mathematik
Differentialgeometrie
| Telefon: | +49 821 598 - 2208 |
| E-Mail: | wolfgang.steimle@math.uni-augsburgmath.uni-augsburg.de () |
| Raum: | 3020 (L1) |
| Sprechzeiten: | nach Vereinbarung |
| Adresse: | Universitätsstraße 14, 86159 Augsburg |
Research Interests
- Classification and automorphisms of manifolds
- Algebraic K- and L-theory
- Positive scalar curvature
Publications
- (with D. Crowley and T. Schick) The derivative map for diffeomorphism of disks: An example, 2020. To appear in Geom. Topol.
- (with B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, M. Land, K. Moi, D. Nardin and T. Nikolaus) Hermitian K-theory for stable infinity-categories I: Foundations, online first in Selecta Math. (2022).
- An additivity theorem for cobordism categories, Algebr. Geom. Topol. 21 (2021), pp. 604-646.
- (with G. Raptis) On the h-cobordism category. I, Int. Math. Res. Not. 23 (2021), pp. 18118-18148.
- (with G. Raptis) Topological manifold bundles and the A-theory assembly map, Proc. Am. Math. Soc. 148 (2020), pp. 2787-2799.
- (with D. Crowley and Th. Schick) Harmonic spinors and metrics of positive scalar curvature via the Gromoll filtration and Toda brackets, J. Topol. 11,4 (2018), pp. 1077-1099.
- (with G. Raptis) A cobordism model for Waldhausen K-theory, J. Lond. Math. Soc. 99,2 (2018), pp. 516-534.
- Degeneracies in quasi-categories, J. Homotopy Relat. Struct. 13,4 (2018), pp. 703-714.
- (with F.T. Farrell and W. Lück) Approximately fibering a manifold over an aspherical one, Math. Ann. 370,1-2 (2018), pp. 669–726.
- (with G. Raptis) Parametrized cobordism categories and the Dwyer-Weiss-Williams index theorem, J. Topol. 10,3 (2017), pp. 700-719.
- (with W. Lück) Splitting the relative assembly map, Nil-terms and involutions, Ann. K-theory 1,4 (2016), pp. 339–377.
- (with W. Lück) A twisted Bass-Heller-Swan decomposition for the non-connective K-theory of additive categories, Forum Math. 28,1 (2016), pp. 129-174.
- (with B. Hanke and Th. Schick) The space of metrics of positive scalar curvature, Pub. Math. IHÉS 120,1 (2014), pp. 335–367.
- (with W. Lück) Non-connective K- and Nil-spectra of additive categories, Contemp. Math. 617 (2014), pp. 205-236.
- (with G. Raptis) On the map of Bökstedt-Madsen from the cobordism category to A-theory, Alg. Geom. Topol. 14,1 (2014), pp. 299-347.
- Obstructions to stably fibering manifolds, Geom. Topol. 16,3 (2012), pp. 1691-1724.
- Higher Whitehead torsion and the geometric assembly map, J. Topol. 5,3 (2012), pp. 529-574.
- (with F.T. Farrell and W. Lück) Obstructions to fibering a manifold, Geom. Dedic. 148,1 (2010), pp. 35-69.
Preprints, theses, and other manuscripts
- (with Fabian Hebestreit and Andrea Lachmann) The localisation theorem for the K-theory of stable ∞-categories , 2022
- (with Fabian Hebestreit) Stable moduli spaces of hermitian forms, 2021
- (with Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin and Thomas Nikolaus) Hermitian K-theory for stable infinity-categories II: Cobordism categories and additivity, 2020
- (with Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin and Thomas Nikolaus) Hermitian K-theory for stable infintiy-categories III: Grothendieck-Witt groups of rings, 2020
- On the universal property of Waldhausen's K-theory, 2017
- Non-trivial self-concordances and a recent conjecture by Botvinnik, 2012
- Homotopy coherent diagrams and approximate fibrations, 2011
- Obstructions to Stably Fibering Manifolds, PhD thesis, Münster 2010
- Whitehead-Torsion und Faserungen, diploma thesis, Münster 2007
Teaching and Research Seminars
- WS 2021/22
Master Lecture: Algebraische Topologie
(joint with Marc Nieper-Wisskirchen) Seminar on Higher Algebra - SS 2021
Bachelor Lecture: Einführung in die Topologie ( Skript )
Seminar: Lie-Gruppen - SS 2020
Bachelor Lecture on Lineare Algebra II.
(joint with Thorsten Hertel) Seminar on Simpliziale Mengen - WS 2019/20
Bachelor Lecture on Lineare Algebra I.
Preparatory Course in Mathematics - WS 2018/19
Master Lecture on Algebraische Topologie
Seminar on Spiegelungsgruppen - SS 2017
Bachelor Lecture on Lineare Algebra II.
Master Lecture on Algebraische K-Theorie .
(joint with Bernhard Hanke) Seminar on Topologische K-Theorie . - WS 2016/17
Bachelor Lecture on Lineare Algebra I.
(joint with Markus Upmeier) Seminar on Topologie von Mannigfaltigkeiten . - SS 2016
Master Lecture on Klassifikationen von Mannigfaltigkeiten .
(joint with Bernhard Hanke) Seminar on Abbildungsklassen . - WS 2015/16
Bachelor Lecture on Topologie .
Seminar on Topologie und Kombinatorik .
(joint with Bernhard Hanke and Michael Wiemeler) Seminar on Elliptic Genera . - SS 2015 (Universität Leipzig): Lecture on
Homological Algebra
.
Seminar on Characteristic Classes .
(joint with Holger Reich) Research Seminar Berlin-Leipzig on Cobordism Categories. - WS 2014/15 (Universität Leipzig): Lecture on Cobordism Theory:
Seminar on Algebraic K-Theory .
(joint with Holger Reich) Research Seminar Berlin-Leipzig on Homological Stability. - SS 2014 (Universität Bonn): (joint with Stefan Schwede) Seminar on the
h-cobordism theorem
.
Assistant to lecture on Einführung in die Geometrie und Topologie.
(Joint with Spiros Adams-Florou and Henrik Rüping) Research seminar of the Graduiertenkolleg on controlled topology. - Block 2, 2013/14 (University of Copenhagen): Tutorials for Geometry 2.
- Block 3, 2012/13 (University of Copenhagen): (joint with G. Gandini and M. Szymik) Lecture and Tutorials for Algebraic Topology 1.5.
- SS 2012 (Universität Bonn): (joint with Steffen Sagave) S4D4 Seminar on model categories .
- SS 2011 (Universität Bonn): (joint with Tibor Macko and Steffen Sagave) Research seminar of the Graduiertenkolleg on the stable parametrized h-cobordism theorem .