Paul Arne Østvær

• Ananyevskiy, Alexey; Röndigs, Oliver & Østvær, Paul Arne (2020). On very effective hermitian K-theory. Mathematische Zeitschrift.  ISSN 0025-5874.  294(3-4), s 1021- 1034 . doi: 10.1007/s00209-019-02302-z
• Østvær, Paul Arne (2020). Motivic stable homotopy groups, In Haynes Miller (ed.),  Handbook of Homotopy Theory.  Chapman & Hall/CRC.  ISBN 9780815369707.  Motivic stable homotopy groups.  s 759 - 793
• Østvær, Paul Arne; Röndigs, Oliver & Kylling, Jonas Irgens (2020). Hermitian K-theory, Dedekind ζ-functions, and quadratic forms over rings of integers in number fields. Cambridge Journal of Mathematics (CJM).  ISSN 2168-0930.  8(3), s 505- 607 . doi: 10.4310/CJM.2020.v8.n3.a3
• Ananyevskiy, Alexey; Röndigs, Oliver & Østvær, Paul Arne (2019). On very effective hermitian K-theory. Mathematische Zeitschrift.  ISSN 0025-5874.  s 1- 14 . doi: 10.1007/s00209-019-02302-z Full text in Research Archive.
• Dubouloz, Adrien; Pauli, Sabrina & Østvær, Paul Arne (2019). A1-contractibility of affine modifications. International Journal of Mathematics.  ISSN 0129-167X. . doi: 10.1142/S0129167X19500691
• Heller, Jeremiah; Voineagu, Mircea & Østvær, Paul Arne (2019). Topological comparison theorems for Bredon motivic cohomology. Transactions of the American Mathematical Society.  ISSN 0002-9947.  371(4), s 2875- 2921 . doi: 10.1090/tran/7553 Full text in Research Archive.
• Röndigs, Oliver; Spitzweck, Markus & Østvær, Paul Arne (2019). The first stable homotopy groups of motivic spheres. Annals of Mathematics.  ISSN 0003-486X.  1(189), s 1- 74 . doi: 10.4007/annals.2019.189.1.1 Full text in Research Archive.
• Heller, Jeremiah; Ravi, Charanya & Østvær, Paul Arne (2018). Rigidity for equivariant pseudo pretheories. Journal of Algebra.  ISSN 0021-8693.  516, s 373- 395 . doi: 10.1016/j.jalgebra.2018.09.027 Full text in Research Archive.
• Ormsby, Kyle; Röndigs, Oliver & Østvær, Paul Arne (2018). Vanishing in stable motivic homotopy sheaves. Forum of Mathematics, Sigma.  ISSN 2050-5094. . doi: 10.1017/fms.2018.3
• Röndigs, Oliver; Spitzweck, Markus & Østvær, Paul Arne (2018). Cellularity of hermitian K-theory and Witt-theory, In Vasudevan Srinivas; Sayed K. Roushon; Ravi A. Rao; A. J. Parameswaran & Amalendu Krishna (ed.),  K-Theory - Proceedings of the International Colloquium, Mumbai, 2016.  Hindustan Book Agency.  ISBN 978-9-386279-74-3.  Chapter 3.  s 35 - 40
• Röndigs, Oliver; Spitzweck, Markus & Østvær, Paul Arne (2018). The motivic Hopf map solves the homotopy limit problem for K-theory. Documenta Mathematica.  ISSN 1431-0635.  23, s 1405- 1424 . doi: 10.25537/dm.2018v23.1405-1424 Full text in Research Archive.
• Hoyois, Marc; Kelly, Shane & Østvær, Paul Arne (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 Full text in Research Archive.
• 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.
• 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
• Röndigs, Oliver & Østvær, Paul Arne (2016). The 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 1753-8416.  8, s 1202- 1236 . doi: 10.1112/jtopol/jtv030
• Heller, Jeremiah; Voineagu, Mircea & Østvær, Paul Arne (2015). Equivariant Cycles and Cancellation for Motivic Cohomology. Documenta Mathematica.  ISSN 1431-0635.  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 (JHRS).  ISSN 2193-8407.  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 1753-8416.  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 1753-8416.  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 1431-0635.  14, s 551- 593

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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.

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• Østvær, Paul Arne (2020). Motivic Geometry.
• Østvær, Paul Arne (2020). Motivic homotopy theory at infinity.
• Østvær, Paul Arne (2019). An invitation to motivic homotopy theory.
• Østvær, Paul Arne (2019). Equivariant motivic homotopy theory, I.
• Østvær, Paul Arne (2019). Equivariant motivic homotopy theory, II.
• Østvær, Paul Arne (2019). Equivariant motivic homotopy theory, III.
• Østvær, Paul Arne (2019). Equivariant motivic homotopy theory, IV.
• Østvær, Paul Arne (2019). Framed motivic gamma-spaces.
• Østvær, Paul Arne (2019). Homotopy groups of motivic spheres.
• Østvær, Paul Arne (2019). Inverting spherical Bott elements.
• Østvær, Paul Arne (2018). A motivic Segal conjecture for the group of order two.
• Østvær, Paul Arne (2018). A motivic Segal conjecture for the group of order two.
• Østvær, Paul Arne (2018). A motivic Segal conjecture for the group of order two.
• Østvær, Paul Arne (2018). A1 contractible varieties. Show summary

  http://wwwf.imperial.ac.uk/~apal4/summer/schedule.html

• Østvær, Paul Arne (2018). A1 contractible varieties.
• Østvær, Paul Arne (2018). A1-contractibility of Koras-Russell threefolds.
• Østvær, Paul Arne (2018). Bott inverted algebraic cobordism.
• Østvær, Paul Arne (2018). Motivic Invariants: Nelder Fellow Lecture Series. Show summary

  http://wwwf.imperial.ac.uk/~apal4/nelder.html?_ga=2.56371883.14612267.1529129029-43039278.1490860248

• Østvær, Paul Arne (2018). Musings on hermitian K-theory.
• Østvær, Paul Arne (2017). A1-contractible varieties.
• Østvær, Paul Arne (2017). A1-contractible varieties.
• Østvær, Paul Arne (2017). Mathematische Sphären.
• 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 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 (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.

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