Prof. Dr. Wolfgang Steimle

Vorsitzender des Prüfungsausschusses Mathematik - Erasmusbeauftragter am Institut der Mathematik
Differentialgeometrie
Telefon: +49 821 598 - 2208
E-Mail:
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

  1. An additivity theorem for cobordism categories, to appear in Algebr. Geom. Topol.
  2. (with G. Raptis) Topological manifold bundles and the A-theory assembly map, to appear in Proc. Am. Math. Soc.
  3. (with G. Raptis) On the h-cobordism category. I, to appear in Int. Math. Res. Not.
  4. (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
  5. (with G. Raptis) A cobordism model for Waldhausen K-theory, J. Lond. Math. Soc. 99,2 (2018), pp. 516-534
  6. Degeneracies in quasi-categories, Journal of Homotopy and Related Structures 13,4 (2018), pp. 703-714
  7. (with F.T. Farrell and W. Lück) Approximately fibering a manifold over an aspherical one, Math. Ann. 370,1-2 (2018), pp. 669–726
  8. (with G. Raptis) Parametrized cobordism categories and the Dwyer-Weiss-Williams index theorem, J. Topol. 10,3 (2017), pp. 700-719
  9. (with W. Lück) Splitting the relative assembly map, Nil-terms and involutions, Annals of K-theory 1,4 (2016), pp. 339–377
  10. (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
  11. (with B. Hanke and Th. Schick) The space of metrics of positive scalar curvature, Pub. Math. IHÉS 120,1 (2014), pp. 335–367
  12. (with W. Lück) Non-connective K- and Nil-spectra of additive categories, Contemp. Math. 617 (2014), pp. 205-236
  13. (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
  14. Obstructions to stably fibering manifolds, Geom. Topol. 16,3 (2012), pp. 1691-1724
  15. Higher Whitehead torsion and the geometric assembly map, J. Topol. 5,3 (2012), pp. 529-574
  16. (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

  1. (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 I: Foundations, 2020
  2. (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
  3. (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
  4. On the universal property of Waldhausen's K-theory, 2017
  5. Non-trivial self-concordances and a recent conjecture by Botvinnik, 2012
  6. Homotopy coherent diagrams and approximate fibrations, 2011
  7. Obstructions to Stably Fibering Manifolds, PhD thesis, Münster 2010
  8. Whitehead-Torsion und Faserungen, diploma thesis, Münster 2007

Teaching and Research Seminars

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