Stefan Schwede

Professor
Mathematisches Institut
Universität Bonn
Endenicher Allee 60
53115 Bonn, Germany

Email: schwede@math.uni-bonn.de
Office: Endenicher Allee 60, Room 4.008
Phone: +49-228-73-3158
Secretary: H. Bacher, Ext. -7780, Room 2.002

Curriculum Vitae
Google Scholar Profile
MathSciNet Profile
Mathematics Genealogy Profile

Workshop/Lecture series "Global homotopy theory"

Indian Institute of Technology, Bombay (India)
February 10-14, 2020
Organizers: Rekha Santhanam, Samik Basu
for more information, see the workshop webpage

Publications:

Orbispaces, orthogonal spaces, and the universal compact Lie group
to appear in Mathematische Zeitschrift © 2019 Springer-Verlag.
DOI: 10.1007/s00209-019-02265-1 PDF-File
Categories and orbispaces
Algebraic & Geometric Topology 19 (2019), 3171-3215
© 2019 Geometry and Topology Publications.
DOI: 10.2140/agt.2019.19.3171 PDF-File
Global homotopy theory
New Mathematical Monographs 34.
Cambridge University Press, Cambridge, 2018. xviii+828 pp.
DOI: 10.1017/9781108349161 PDF-File MR 3838307 Errata
Equivariant properties of symmetric products
Journal of the American Mathematical Society 30 (2017), 673-711
© 2017 American Mathematical Society.
DOI: 10.1090/jams/879 PDF-File MR 3630085
The n-order of algebraic triangulated categories
Journal of Topology 6 (2013), 857-867
© 2013 London Mathematical Society.
DOI: 10.1112/jtopol/jtt014 PDF-File MR 3145142
The p-order of topological triangulated categories
Journal of Topology 6 (2013), 868-914
© 2013 London Mathematical Society.
DOI: 10.1112/jtopol/jtt018 PDF-File MR 3145143 Correction
Algebraic versus topological triangulated categories
in Triangulated categories, 389-407, London Mathematical Society Lecture Notes 375,
Cambridge Univ. Press, Cambridge, 2010.
DOI: 10.1017/CBO9781139107075.010 PDF-File MR 2681714
On the homotopy groups of symmetric spectra
Geometry & Topology 12 (2008), 1313-1344
© 2008 Geometry and Topology Publications.
DOI: 10.2140/gt.2008.12.1313 PDF-File MR 2421129
The stable homotopy category is rigid
Annals of Mathematics 166 (2007), 837-863
© 2007 Princeton University Press.
DOI: 10.4007/annals.2007.166.837 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.
DOI: 10.1090/fic/045/06 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.
DOI: 10.1017/CBO9780511529955.005 DVI-File MR 2122154
Formal groups and stable homotopy of commutative rings
Geometry & Topology 8 (2004), 335-412
© 2004 Geometry and Topology Publications.
DOI: 10.2140/gt.2004.8.335 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.
DOI: 10.1090/S0002-9947-03-03373-7 PDF-File MR 2055748
Stable model categories are categories of modules
Topology 42 (2003), 103-153.
with B. Shipley, © 2003 Elsevier Science Ltd.
DOI: 10.1016/S0040-9383(02)00006-X PDF-File MR 1928647
Equivalences of monoidal model categories
Algebraic & Geometric Topology 3 (2003), 287-334
with B. Shipley, © 2003 Geometry and Topology Publications.
DOI: 10.2140/agt.2003.3.287 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.
DOI: 10.1353/ajm.2001.0019 PDF-File MR 1833153 Correction
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.
DOI: 10.1112/S0024611501012692 PDF-File MR 1806878
Stable homotopy of algebraic theories
Topology 40 (2001), 1-41
© 2000 Elsevier Science Ltd.
DOI: 10.1016/S0040-9383(99)00046-4 PDF-File MR 1791267
S-modules and symmetric spectra
Mathematische Annalen 319 (2001), 517-532
© 2000 Springer-Verlag.
DOI: 10.1007/PL00004446 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.
DOI: 10.1112/S002461150001220X PDF-File MR 1734325
Stable homotopical algebra and Γ-spaces
Math. Proc. Cambridge Philos. Soc. 126 (1999), 329-356
© 1999 Cambridge Philosophical Society.
DOI: 10.1017/S0305004198003272 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-
DOI: 10.1515/crll.1998.048 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.
DOI: 10.1016/S0022-4049(96)00058-8 PDF-File MR 1466099

Preprints, projects, and presentations:

Proper equivariant stable homotopy theory
with D. Degrijse, M. Hausmann, W. Lück and I. Patchkoria, 138+v pp., last updated August 2, 2019; PDF-File arxiv:1908.00779
Homotopy invariance of convolution products
with S. Sagave, 30 pp., last updated July 10, 2019; PDF-File arxiv:1907.05188
Lecture notes on equivariant stable homotopy theory
107 pp., last updated November 6, 2019; PDF-File
Symmetric spectra
book project in progress. DVI-File PDF-File (154 pp., updated July 12, 2007)
Equivariant bordism from the global perspective
Talk slides, December 7, 2015; PDF-File
The global stable homotopy category
Video of a talk at BIRS, June 23, 2016
Universal properties of global equivariant Thom spectra
Video of a talk at BIRS, February 15, 2016

Teaching/Lehre:

WS 2019/20

Advanced Topics in Topology - Equivariant stable homotopy theory (V5D1)
Tuesdays 10:15-12:00 and Thursdays 14:15-16:00, SR 0.011 (Mathematikzentrum)

Graduate Seminar Topology (S4D2) "Enhancements of triangulated categories"
Tuesdays, 14:15-15:45 in SR N 0.008 (Mathematikzentrum, Annex)

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: November 6, 2019