Paul Arne Østvær

Image of Paul Arne Østvær
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Phone +47 22855912
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Visiting address Moltke Moes vei 35 Niels Henrik Abels hus 0851 Oslo
Postal address Postboks 1053 Blindern 0316 Oslo

Home page: https://sites.google.com/view/oestvaer/

Tags: Mathematics, Geometry and topology

Publications

  • Bachmann, Tom & Østvær, Paul Arne (2022). Topological models for stable motivic invariants of regular number rings. Forum of Mathematics, Sigma. ISSN 2050-5094. 10.
  • Asok, Aravind & Østvær, Paul Arne (2021). A1-homotopy Theory and Contractible Varieties: A Survey. In Neumann, Frank & Pál, Ambrus (Ed.), Homotopy Theory and Arithmetic Geometry – Motivic and Diophantine Aspects. Springer. ISSN 978-3-030-78976-3. p. 145–212.
  • Gutierrez, Javier J; Röndigs, Oliver; Spitzweck, Markus & Østvær, Paul Arne (2021). On functorial (co)localization of algebras and modules over operads. Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg. ISSN 0025-5858. doi: 10.1007/s12188-021-00240-4. Full text in Research Archive
  • Østvær, Paul Arne (2020). Motivic stable homotopy groups. In Miller, Haynes (Eds.), Handbook of Homotopy Theory. Chapman & Hall/CRC. ISSN 9780815369707. p. 759–793. Full text in Research Archive
  • Kylling, Jonas Irgens; Röndigs, Oliver & Østvær, Paul Arne (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), p. 505–607. doi: 10.4310/CJM.2020.v8.n3.a3.
  • Dubouloz, Adrien; Pauli, Sabrina & Østvær, Paul Arne (2019). A1-contractibility of affine modifications. International Journal of Mathematics. ISSN 0129-167X. doi: 10.1142/S0129167X19500691.
  • Ananyevskiy, Alexey; Röndigs, Oliver & Østvær, Paul Arne (2019). On very effective hermitian K-theory. Mathematische Zeitschrift. ISSN 0025-5874. p. 1–14. doi: 10.1007/s00209-019-02302-z. 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), p. 1–74. doi: 10.4007/annals.2019.189.1.1. Full text in Research Archive
  • 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), p. 2875–2921. doi: 10.1090/tran/7553. Full text in Research Archive
  • Röndigs, Oliver; Spitzweck, Markus & Østvær, Paul Arne (2018). Cellularity of hermitian K-theory and Witt-theory. In Srinivas, Vasudevan; Roushon, Sayed K.; Rao, Ravi A.; Parameswaran, A. J. & Krishna, Amalendu (Ed.), K-Theory - Proceedings of the International Colloquium, Mumbai, 2016. Hindustan Book Agency. ISSN 978-9-386279-74-3. p. 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, p. 1405–1424. doi: 10.25537/dm.2018v23.1405-1424. 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, p. 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.
  • 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), p. 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), p. 1059–1104. doi: 10.2140/agt.2017.17.1059. Full text in Research Archive
  • 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), p. 1157–1212. doi: 10.2140/gt.2016.20.1157.
  • Hoyois, Marc; Krishna, Amalendu & Østvær, Paul Arne (2016). A1-contractibility of Koras-Russell threefolds. Algebraic Geometry. ISSN 2313-1691. 3(4), p. 407–423. doi: 10.14231/AG-2016-019.
  • 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), p. 373–380. doi: 10.4310/HHA.2016.v18.n1.a20.
  • 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), p. 1157–1212. doi: 10.2140/gt.2016.20.1157.
  • Heller, Jeremiah; Krishna, Amalendu & Østvær, Paul Arne (2015). Motivic homotopy theory of group scheme actions. Journal of Topology. ISSN 1753-8416. 8, p. 1202–1236. doi: 10.1112/jtopol/jtv030.
  • 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), p. 333–346. doi: 10.1007/s40062-013-0062-3.
  • 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, p. 34–55.
  • Heller, Jeremiah; Voineagu, Mircea & Østvær, Paul Arne (2015). Equivariant Cycles and Cancellation for Motivic Cohomology. Documenta Mathematica. ISSN 1431-0635. 20, p. 269–332.
  • Heller, Jeremiah; Krishna, Amalendu & Østvær, Paul Arne (2014). Motivic homotopy theory of group scheme actions. Journal of Topology. ISSN 1753-8416. 8(4), p. 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, p. 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), p. 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, p. 203–211.
  • Ormsby, Kyle & Østvær, Paul Arne (2013). Motivic Brown–Peterson invariants of the rationals. Geometry and Topology. ISSN 1465-3060. 17(3), p. 1671–1706. doi: 10.2140/gt.2013.17.1671.
  • Spitzweck, Markus & Østvær, Paul Arne (2012). Motivic twisted K-theory. Algebraic and Geometric Topology. ISSN 1472-2747. 12(1), p. 565–599. doi: 10.2140/agt.2012.12.565.
  • Gutierrez, Javier J; Rondigs, Oliver; Spitzweck, Markus & Østvær, Paul Arne (2012). Motivic slices and coloured operads. Journal of Topology. ISSN 1753-8416. 5(3), p. 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), p. 291–331. doi: 10.1017/is011006028jkt161.
  • Berrick, A. J.; Karoubi, Max & Østvær, Paul Arne (2011). Periodicity of hermitian K-groups. Journal of K-Theory. ISSN 1865-2433. 7(3), p. 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), p. 117–159. doi: 10.1007/s00208-010-0503-9.
  • Spitzweck, Markus & Østvær, Paul Arne (2010). Universality of mod-p cohomology. Topology and its Applications. ISSN 0166-8641. 157(18), p. 2864–2872. doi: 10.1016/j.topol.2010.09.004.
  • Seteklev, Sigurd T & Østvær, Paul Arne (2010). HOMOTOPY THEORY OF CYCLIC PRESHEAVES. Mathematica Scandinavica. ISSN 0025-5521. 107(1), p. 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), p. 211–216.
  • 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), p. 3509–3520.

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  • Østvær, Paul Arne (2010). Homotopy theory of C*-algebras. Springer. ISBN 978-3-0346-0564-9. 140 p.

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  • Østvær, Paul Arne (2021). Galois cohomology and quadratic forms through motivic homotopy.
  • Østvær, Paul Arne (2021). Motivic homotopy types of algebraic varieties.
  • Østvær, Paul Arne (2020). Motivic homotopy theory at infinity.
  • Østvær, Paul Arne (2020). Motivic Geometry.
  • Østvær, Paul Arne (2019). Inverting spherical Bott elements.
  • Østvær, Paul Arne (2019). Homotopy groups of motivic spheres.
  • Østvær, Paul Arne (2019). An invitation to motivic homotopy theory.
  • Østvær, Paul Arne (2019). Equivariant motivic homotopy theory, IV.
  • Østvær, Paul Arne (2019). Equivariant motivic homotopy theory, III.
  • Østvær, Paul Arne (2019). Equivariant motivic homotopy theory, II.
  • Østvær, Paul Arne (2019). Equivariant motivic homotopy theory, I.
  • Østvær, Paul Arne (2019). Framed motivic gamma-spaces.
  • Østvær, Paul Arne (2018). Musings on hermitian K-theory.
  • Østvær, Paul Arne (2018). A1-contractibility of Koras-Russell threefolds.
  • Østvær, Paul Arne (2018). A motivic Segal conjecture for the group of order two.
  • Østvær, Paul Arne (2018). A1 contractible varieties.
  • Østvær, Paul Arne (2018). Motivic Invariants: Nelder Fellow Lecture Series.
  • Østvær, Paul Arne (2018). A motivic Segal conjecture for the group of order two.
  • Østvær, Paul Arne (2018). A1 contractible varieties.
  • Østvær, Paul Arne (2018). A motivic Segal conjecture for the group of order two.
  • Østvær, Paul Arne (2018). Bott inverted algebraic cobordism.
  • 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). On 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). A1-contractible varieties.
  • Østvær, Paul Arne (2017). A1-contractible varieties.
  • Østvær, Paul Arne (2016). Slices and the motivic 1-line.
  • Østvær, Paul Arne (2016). The motivic Hopf map and the homotopy limit problem for (hermitian) K-theory.
  • Østvær, Paul Arne (2016). The motivic 1-line.
  • Østvær, Paul Arne (2016). I 350 år hadde klodens klokeste hoder lett etter svaret. Andrew Wiles fant det. [Newspaper]. Aftenposten.
  • Østvær, Paul Arne (2016). A1-contractibility of Koras-Russell threefolds.
  • Østvær, Paul Arne (2016). Motivic Hopf equations.
  • 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 via the slice filtration.
  • Østvær, Paul Arne (2015). Milnor's conjecture on quadratic forms.
  • Østvær, Paul Arne (2014). Motivic homotopies - Motivic stable stems.
  • Østvær, Paul Arne (2014). Motivic homotopies - Motivic slices.
  • Østvær, Paul Arne (2014). Motivic homotopies - Examples of computations.
  • Østvær, Paul Arne (2014). Motivic homotopies - Techniques.
  • Østvær, Paul Arne (2014). Motivic homotopies - Motivation.
  • Østvær, Paul Arne (2014). Motivic slices and quadratic forms.
  • Østvær, Paul Arne (2013). Milnor's conjecture on quadratic forms.
  • Østvær, Paul Arne (2013). Homotopy theory of C*-algebras.
  • Østvær, Paul Arne (2013). Slices of K-theory and quadratic forms.
  • Østvær, Paul Arne (2012). Motivic slices and the graded Witt ring.
  • 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 (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 (2011). Motives and the Milnor Conjecture.
  • Østvær, Paul Arne (2011). Rigidity and the Conjecture of Friedlander and Milnor.
  • Friedlander, Eric M.; Quick, Gereon & Østvær, Paul Arne (2011). Preface to J.K-Theory 7. Journal of K-Theory. ISSN 1865-2433. 7(3), p. 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), p. 405–661.
  • Østvær, Paul Arne (2010). Slices of hermitian K-theory.
  • Østvær, Paul Arne (2010). Motivic invariants of the rational numbers.

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Published Nov. 30, 2010 11:20 PM - Last modified Aug. 30, 2021 9:18 PM

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