Topology group Topology Seminar Teaching/Lehre Graduiertenkolleg Homotopie & Kohomologie Math talks Bonn

Stefan Schwede Professor Mathematisches Institut Universität Bonn Endenicher Allee 60 53115 Bonn, Germany Phone: +49-228-73-3158 Fax: +49-228-73-6198 Email: schwede[at]math.uni-bonn.de Office/Büro: Endenicher Allee 60, Room 4.008 Secretary: Mrs. Y. May, Ext. -2941 or -4708

Publications:

• On the homotopy groups of symmetric spectra, Geometry & Topology 12 (2008), 1313--1344.
  © 2008 Geometry and Topology Publications PDF-File MR 2421129
• The stable homotopy category is rigid, Annals of Mathematics 166 (2007), 837-863
  © 2007 Princeton University Press PDF-File MR 2373374
• Triangulated categories without models, Inventiones Mathematicae 170 (2007), 231-241.
  with F. Muro and N. Strickland, © 2007 Springer-Verlag. DOI 10.1007/s00222-007-0061-2 PDF-File MR 2342636
• Introduction to realizability of modules over Tate cohomology, in Representations of algebras and related topics, Fields Institute Communications Vol. 45 (2005), 81--97.
  with D. Benson and H. Krause, DVI-File PDF-File MR 2146241
• Morita theory in abelian, derived and stable model categories, in Structured Ring Spectra, 33--86, London Mathematical Society Lecture Notes 315,
  Cambridge Univ. Press, Cambridge, 2004. DVI-File PDF-File MR 2122154
• Formal groups and stable homotopy of commutative rings, Geometry & Topology 8 (2004), 335--412.
  © 2004 Geometry and Topology Publications PDF-File MR 2033483
• Realizability of modules over Tate cohomology, Transactions of the American Mathematical Society 356 (2004), no. 9, 3621-3668.
  with D. Benson and H. Krause, © 2004 American Mathematical Society DVI-File PDF-File MR 2055748
• Stable model categories are categories of modules, Topology 42 (2003), 103-153.
  with B. Shipley, © 2003 Elsevier Science Ltd. PDF-File MR 1928647
• Equivalences of monoidal model categories, Algebraic & Geometric Topology 3 (2003), 287-334.
  with B. Shipley, © 2003 Geometry and Topology Publications PDF-File MR 1997322
• A uniqueness theorem for stable homotopy theory, Mathematische Zeitschrift 239 (2002), 803-828.
  with B. Shipley, © 2002 Springer-Verlag. DOI 10.1007/s002090100347 PDF-File MR 1902062
• The stable homotopy category has a unique model at the prime 2, Advances in Mathematics 164 (2001), 24-40
  © 2001 Elsevier Science. DOI: 10.1006/aima.2001.2009 PDF-File MR 1870511
• Simplicial structures on model categories and functors, American Journal of Mathematics 123 (2001), 551-575
  with C. Rezk and B. Shipley, © 2001 The Johns Hopkins University Press PDF-File MR 1833153
• Model categories of diagram spectra, Proc. London Math. Soc. 82 (2001), 441-512
  with M. Mandell, J. P. May and B. Shipley, © 2001 London Mathematical Society PDF-File MR 1806878
• Stable homotopy of algebraic theories, Topology 40 (2001), 1-41
  © 2000 Elsevier Science Ltd. PDF-File MR 1791267
• S-modules and symmetric spectra, Mathematische Annalen 319 (2001), 517-532
  © 2000 Springer-Verlag. DOI 10.1007/s002080000165 PDF-File MR 1819881
• Algebras and modules in monoidal model categories, Proc. London Math. Soc. 80 (2000), 491-511
  with B. Shipley, © 2000 London Mathematical Society PDF-File MR 1734325
• Stable homotopical algebra and Γ-spaces, Math. Proc. Cambridge Philos. Soc. 126 (1999), 329-356
  © 1999 Cambridge Philosophical Society PDF-File MR 1670249
• An exact sequence interpretation of the Lie bracket in Hochschild cohomology, J. Reine Angew. Math. 498 (1998), 153-172
  © 1998 de Gruyter PDF-File MR 1629858
• Spectra in model categories and applications to the algebraic cotangent complex, J. Pure Appl. Algebra 120 (1997), 77-104
  © 1997 Elsevier Science PDF-File MR 1466099

Preprints:

• An untitled book project about symmetric spectra
  Preliminary version of a book project in progress. 154 pp., updated July 12, 2007; DVI-File PDF-File
• Algebraic versus topological triangulated categories
  Erscheint in: `Triangulated categories', Hrg. T.Holm, P.Jorgensen, R.Rouquier, Cambridge Univ. Press.
  15pp., updated July 14, 2008; PDF-File; also available: talk slides (PDF)
• Torsion invariants for triangulated categories
  24pp., updated April 14, 2009; DVI-File PDF-File

Teaching/Lehre:

WS 2009/10

Vorlesung V2D2 "Topologie I"
Mo, Mi 8-10, Kleiner Hörsaal, mit 2 stündigen Übungen

Seminar S2D2 "Hauptseminar Topologie"
Di 14-16, SR 1.007

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The background picture illustrates the Hopf-fibration, a continuous map from the 3-sphere to the 2-sphere with interesting topological properties. The idea for the layout of this page is taken from an article by Eric A. Meyer
Last modified: 24.07.09