Paul Arne Østvær

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Visiting address Ullevål stadion Sognsveien 77 B 0855 OSLO
Postal address Postboks 1053 Blindern 0316 OSLO
Other affiliations Department of Mathematics

Publication list

Tags: Mathematics, Geometry and topology

Publications

  • Wilson, Glen Matthew & Østvær, Paul Arne (2017). Two-complete stable motivic stems over finite fields. Algebraic and Geometric Topology.  ISSN 1472-2747.  17(2), s 1059- 1104 . doi: 10.2140/agt.2017.17.1059 Full text in Research Archive.
  • Østvær, Paul Arne; Hoyois, Marc & Kelly, Shane (2017). The motivic Steenrod algebra in positive characteristic. Journal of the European Mathematical Society (Print).  ISSN 1435-9855.  19(12), s 3813- 3849 . doi: 10.4171/JEMS/754
  • Hoyois, Marc; Krishna, Amalendu & Østvær, Paul Arne (2016). A1-contractibility of Koras-Russell threefolds. Algebraic Geometry.  ISSN 2313-1691.  3(4), s 407- 423 . doi: 10.14231/AG-2016-019
  • Rondigs, Oliver & Østvær, Paul Arne (2016). Slices of hermitian K–theory and Milnor’s conjecture on quadratic forms. Geometry and Topology.  ISSN 1465-3060.  20(2), s 1157- 1212 . doi: 10.2140/gt.2016.20.1157
  • Østvær, Paul Arne & Röndigs, Oliver (2016). The multiplicative structure on the graded slices of hermitian K-theory and Witt-theory. Homology, Homotopy and Applications.  ISSN 1532-0073.  18(1), s 373- 380 . doi: 10.4310/HHA.2016.v18.n1.a20
  • Berrick, Jon; Karoubi, Max; Schlichting, Marco & Østvær, Paul Arne (2015). The Homotopy Fixed Point Theorem and the Quillen–Lichtenbaum conjecture in Hermitian K-theory. Advances in Mathematics.  ISSN 0001-8708.  278, s 34- 55
  • Heller, Jeremiah; Krishna, Amalendu & Østvær, Paul Arne (2015). Motivic homotopy theory of group scheme actions. Journal of Topology.  ISSN 1754-8416.  8, s 1202- 1236 . doi: doi:10.1112/jtopol/jtv030
  • Heller, Jeremiah; Voineagu, Mircea & Østvær, Paul Arne (2015). Equivariant Cycles and Cancellation for Motivic Cohomology. Documenta Mathematica.  ISSN 1431-0643.  20, s 269- 332
  • Naumann, Niko; Spitzweck, Markus & Østvær, Paul Arne (2015). Existence and uniqueness of E∞ structures on motivic K -theory spectra. Journal of Homotopy and Related Structures.  ISSN 1512-2891.  10(3), s 333- 346 . doi: 10.1007/s40062-013-0062-3
  • Heller, Jeremiah; Krishna, Amalendu & Østvær, Paul Arne (2014). Motivic homotopy theory of group scheme actions. Journal of Topology.  ISSN 1754-8416.  8(4), s 1202- 1236 . doi: 10.1112/jtopol/jtv030
  • Ormsby, Kyle & Østvær, Paul Arne (2014). Stable motivic π1 of low-dimensional fields. Advances in Mathematics.  ISSN 0001-8708.  265, s 97- 131 . doi: 10.1016/j.aim.2014.07.024
  • Østvær, Paul Arne (2014). K-theory and mapping spaces: an appendix to Equivariant semi-topological K-homology and a theorem ofThomason. Journal of K-Theory.  ISSN 1865-2433.  13(1), s 1- 8 . doi: 10.1017/is013008028jkt240
  • Berrick, Jon; Karoubi, Max & Østvær, Paul Arne (2013). Hermitian periodicity and cohomology of infinite orthogonal groups. Journal of K-Theory.  ISSN 1865-2433.  12, s 203- 211
  • Ormsby, Kyle & Østvær, Paul Arne (2013). Motivic Brown–Peterson invariants of the rationals. Geometry and Topology.  ISSN 1465-3060.  17(3), s 1671- 1706 . doi: 10.2140/gt.2013.17.1671
  • Gutierrez, Javier J; Rondigs, Oliver; Spitzweck, Markus & Østvær, Paul Arne (2012). Motivic slices and coloured operads. Journal of Topology.  ISSN 1754-8416.  5(3), s 727- 755 . doi: 10.1112/jtopol/jts015
  • Krishna, Amalendu & Østvær, Paul Arne (2012). Nisnevich descent for K-theory of Deligne-Mumford stacks. Journal of K-Theory.  ISSN 1865-2433.  9(2), s 291- 331 . doi: 10.1017/is011006028jkt161
  • Spitzweck, Markus & Østvær, Paul Arne (2012). Motivic twisted K-theory. Algebraic and Geometric Topology.  ISSN 1472-2747.  12(1), s 565- 599 . doi: 10.2140/agt.2012.12.565
  • Berrick, A. J.; Karoubi, Max & Østvær, Paul Arne (2011). Periodicity of hermitian K-groups. Journal of K-Theory.  ISSN 1865-2433.  7(3), s 429- 493 . doi: 10.1017/is011004009jkt151
  • Berrick, A. Jon; Karoubi, Max & Østvær, Paul Arne (2011). Hermitian K-theory and 2-regularity for totally real number fields. Mathematische Annalen.  ISSN 0025-5831.  349(1), s 117- 159 . doi: 10.1007/s00208-010-0503-9
  • Seteklev, Sigurd T & Østvær, Paul Arne (2010). HOMOTOPY THEORY OF CYCLIC PRESHEAVES. Mathematica Scandinavica.  ISSN 0025-5521.  107(1), s 30- 42
  • Spitzweck, Markus & Østvær, Paul Arne (2010). A bott inverted model for equivariant unitary topological K-theory. Mathematica Scandinavica.  ISSN 0025-5521.  106(2), s 211- 216
  • Spitzweck, Markus & Østvær, Paul Arne (2010). Universality of mod-p cohomology. Topology and its Applications.  ISSN 0166-8641.  157(18), s 2864- 2872 . doi: 10.1016/j.topol.2010.09.004
  • Østvær, Paul Arne; Röndigs, Oliver & Spitzweck, Markus (2010). MOTIVIC STRICT RING MODELS FOR K-THEORY. Proceedings of the American Mathematical Society.  ISSN 0002-9939.  138(10), s 3509- 3520
  • Naumann, N; Spitzweck, M & Østvær, Paul Arne (2009). Motivic Landweber Exactness. Documenta Mathematica.  ISSN 1431-0643.  14, s 551- 593
  • Spitzweck, M & Østvær, Paul Arne (2009). The Bott inverted infinite projective space is homotopy algebraic K-theory. Bulletin of the London Mathematical Society.  ISSN 0024-6093.  41, s 281- 292 . doi: 10.1112/blms/bdn124
  • Yagunov, Serge & Østvær, Paul Arne (2009). Rigidity for equivariant K-theory. Comptes rendus. Mathematique.  ISSN 1631-073X.  347(23-24), s 1403- 1407 . doi: 10.1016/j.crma.2009.10.020
  • Østvær, Paul Arne; Naumann, Niko & Spitzweck, Markus (2009). Chern Classes, K-theory and Landweber exactness over nonregular base schemes. Fields Institute Communications.  ISSN 1069-5265.  56, s 307- 317
  • Rondigs, O & Østvær, Paul Arne (2008). Rigidity in motivic homotopy theory. Mathematische Annalen.  ISSN 0025-5831.  341, s 651- 675 . doi: 10.1007/s00208-008-0208-5
  • Rondings, O & Østvær, Paul Arne (2008). Modules over motivic cohomology. Advances in Mathematics.  ISSN 0001-8708.  219, s 689- 727 . doi: 10.1016/j.aim.2008.05.013
  • Voevodsky, Vladimir; Röndigs, Oliver & Østvær, Paul Arne (2007). Voevodsky's Nordfjordeid Lectures: Motivic Homotopy Theory, In Bjørn Ian Dundas; Marc Levine; Paul Arne Østvær; Oliver Röndigs & Vladimir Voevodsky (ed.),  Motivic Homotopy Theory.  Springer.  ISBN 3-540-45895-6.  Kapittel 3.  s 147 - 221
  • Rosenschon, Andreas & Østvær, Paul Arne (2006). Rigidity for pseudo pretheories. Inventiones Mathematicae.  ISSN 0020-9910.  266(1), s 95- 102
  • Röndigs, Oliver & Østvær, Paul Arne (2006). Motives and modules over motivic cohomology. Comptes rendus. Mathematique.  ISSN 1631-073X.  342, s 751- 754
  • Rosenschon, A & Østvær, Paul Arne (2006). Descent for K-theories. Journal of Pure and Applied Algebra.  ISSN 0022-4049.  206
  • Østvær, Paul Arne & Rosenschon, Andreas (2005). The Homotopy Limit Problem for Two-Primary Algebraic $K$-Theory. Topology.  ISSN 0040-9383.  44, s 1159- 1179 Show summary
  • Østvær, Paul Arne & Rosenschon, Andreas (2004). $K$-Theory of Surfaces at the Prime 2. K-theory.  ISSN 0920-3036.  33, s 215- 250
  • Østvær, Paul Arne (2004). On $A(X)\rightarrow TC(X)$ for Some $X$. K-theory.  ISSN 0920-3036.  31, s 345- 355
  • Østvær, Paul Arne (2004). Wild kernels at the prime 2. Acta Arithmetica.  ISSN 0065-1036.  112, s 109- 130
  • Østvær, Paul Arne (2003). A norm principle in higher algebraic K-theory. Bulletin of the London Mathematical Society.  ISSN 0024-6093.  35(4), s 491- 498
  • Østvær, Paul Arne (2003). Etale descent for real number fields. Topology.  ISSN 0040-9383.  42(1), s 197- 225
  • Østvær, Paul Arne (2003). K-groups with finite coefficients and arithmetic. Mathematica Scandinavica.  ISSN 0025-5521.  93(1), s 41- 52
  • Østvær, Paul Arne; Rondigs, Oliver & Dundas, Bjørn Ian (2003). Enriched Functors and Stable Homotopy Theory. Documenta Mathematica.  ISSN 1431-0643.  8, s 409- 488
  • Østvær, Paul Arne; Rondigs, Oliver & Dundas, Bjørn Ian (2003). Motivic Functors. Documenta Mathematica.  ISSN 1431-0643.  8, s 489- 525
  • Østvær, Paul Arne & Rosenschon, Andreas (2003). K-theory of curves over number fields. Journal of Pure and Applied Algebra.  ISSN 0022-4049.  178(3), s 307- 333
  • Rognes, John & Østvær, Paul Arne (2000). Two-primary algebraic K-theory of two-regular number fields. Mathematische Zeitschrift.  ISSN 0025-5874.  223, s 251- 263

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  • Østvær, Paul Arne (2010). Homotopy theory of C*-algebras. Springer.  ISBN 978-3-0346-0564-9.  140 s.
  • Baas, Nils A.; Friedlander, Eric M.; Jahren, Bjørn & Østvær, Paul Arne (2009). Algebraic Topology. The Abel Symposium 2007. Springer.  ISBN 978-3-642-01199-3.
  • Dundas, Bjørn Ian; Levine, Marc; Østvær, Paul Arne; Röndigs, Oliver & Voevodsky, Vladimir (ed.) (2007). Motivic Homotopy Theory. Springer.  ISBN 3-540-45895-6.  235 s.

View all works in Cristin

  • Østvær, Paul Arne (2017). A1-contractible varieties.
  • Østvær, Paul Arne (2017). A1-contractible varieties.
  • Østvær, Paul Arne (2017). Motivic Landweber exact theories and etale cohomology.
  • Østvær, Paul Arne (2017). Motivic Landweber exact theories and etale cohomology.
  • Østvær, Paul Arne (2017). Motivic Landweber exact theories and etale cohomology.
  • Østvær, Paul Arne (2017). Motivic Landweber exact theories and etale cohomology.
  • Østvær, Paul Arne (2017). On A1-contractible varieties.
  • Østvær, Paul Arne (2016). A1-contractibility of Koras-Russell threefolds.
  • Østvær, Paul Arne (2016, 21. mai). I 350 år hadde klodens klokeste hoder lett etter svaret. Andrew Wiles fant det..  Aftenposten.
  • Østvær, Paul Arne (2016). Motivic Hopf equations.
  • Østvær, Paul Arne (2016). Slices and the motivic 1-line.
  • Østvær, Paul Arne (2016). The motivic 1-line.
  • Østvær, Paul Arne (2016). The motivic Hopf map and the homotopy limit problem for (hermitian) K-theory.
  • Østvær, Paul Arne (2015). A1-contractibility of Koras-Russell threefolds.
  • Østvær, Paul Arne (2015). A1-contractibility of Koras-Russell threefolds.
  • Østvær, Paul Arne (2015). Milnor's conjecture on quadratic forms.
  • Østvær, Paul Arne (2015). Milnor's conjecture on quadratic forms.
  • Østvær, Paul Arne (2015). Milnor's conjecture on quadratic forms via the slice filtration.
  • Østvær, Paul Arne (2014). Motivic homotopies - Examples of computations.
  • Østvær, Paul Arne (2014). Motivic homotopies - Motivation.
  • Østvær, Paul Arne (2014). Motivic homotopies - Motivic slices.
  • Østvær, Paul Arne (2014). Motivic homotopies - Motivic stable stems.
  • Østvær, Paul Arne (2014). Motivic homotopies - Techniques.
  • Østvær, Paul Arne (2014). Motivic slices and quadratic forms.
  • Østvær, Paul Arne (2013). Homotopy theory of C*-algebras.
  • Østvær, Paul Arne (2013). Milnor's conjecture on quadratic forms.
  • Østvær, Paul Arne (2013). Slices of K-theory and quadratic forms.
  • Østvær, Paul Arne (2012). Computations in motivic topology.
  • Østvær, Paul Arne (2012). Motivic slices and the graded Witt ring.
  • Østvær, Paul Arne (2012). Motivic slices and the graded Witt ring.
  • Østvær, Paul Arne (2012). Motivic slices and the graded Witt ring.
  • Friedlander, Eric M.; Quick, Gereon & Østvær, Paul Arne (2011). Preface to J.K-Theory 7. Journal of K-Theory.  ISSN 1865-2433.  7(3), s 405- 407
  • Friedlander, Eric M.; Quick, Gereon & Østvær, Paul Arne (2011). Special Issue on motivic A1-homotopy theory. Journal of K-Theory.  ISSN 1865-2433.  7(3), s 405- 661
  • Østvær, Paul Arne (2011). Motives and the Milnor Conjecture.
  • Østvær, Paul Arne (2011). Rigidity and the Conjecture of Friedlander and Milnor.
  • Østvær, Paul Arne (2011). Slices of Hermitian K-theory and Milnor's Conjecture on Quadratic Forms.
  • Østvær, Paul Arne (2011). Slices of Hermitian Ktheory and Milnor's Conjecture on Quadratic Forms.
  • Østvær, Paul Arne (2011). Slices of Hermitian K-theory and Milnor's Conjecture on Quadratic Forms.
  • Østvær, Paul Arne (2010). Motivic Homotopy Theory: I, II, III.
  • Østvær, Paul Arne (2010). Motivic invariants of the rational numbers.
  • Østvær, Paul Arne (2010). Motivic invariants of the rational numbers.
  • Østvær, Paul Arne (2010). Slices of hermitian K-theory.
  • Østvær, Paul Arne (2009). Homotopy Theory of C*-Algebras.
  • Østvær, Paul Arne (2008). Homotopy theory of C*-algebras.
  • Østvær, Paul Arne (2007). Rigidity in motivic homotopy theory.
  • Østvær, Paul Arne (2007). Rigidity in motivic homotopy theory.
  • Østvær, Paul Arne (2007). The Bott inverted infinite projective space is K-theory.
  • Østvær, Paul Arne (2007). The Bott inverted infinite projective space is K-theory.
  • Østvær, Paul Arne (2006). Homotopies in Topology and Algebra.
  • Østvær, Paul Arne (2006). Homotopy Theory of C*-Algebras.
  • Østvær, Paul Arne (2006). Modules over Motivic Cohomology.
  • Østvær, Paul Arne (2005). Motivic Homotopy Theory.
  • Østvær, Paul Arne & Hodgkin, Luke (2001). The Homotopy Type of Two-Regular $K$-Theory.

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Published Nov. 30, 2010 11:20 PM - Last modified Nov. 17, 2015 5:35 PM