Nominator's project description
| Professor Ostvaer is an internationally recognized expert in motivic homo-topy theory, a new field of mathematics uniting topology, algebra and geometry. He has made important contributions to the study of Hermitian K-theory, equivariant motivic cohomology and the motivic stable stems. In Germany, Professor Ostvaer will work on equivariant motivic homotopy theory and computations of motivic stable stems. |
Publications (partial selection)
| 2019 | Oliver Röndigs, Markus Spitzweck, Paul Arne Østvær: The first stable homotopy groups of motivic spheres. In: Annals of Mathematics, 2019, 1-74 |
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| 2018 | Jeremiah Heller, Charanya Ravi, Paul Arne
Østvær: Rigidity for equivariant pseudo pretheories. In: Journal of Algebra, 2018, 373-395 |
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| 2018 | Oliver Röndigs, Markus Spitzweck, Paul Arne Østvær.: The motivic Hopf map solves the homotopy limit problem for K-theory. In: Documenta Mathematica, 2018, 1405-1424 |
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| 2018 | Oliver Röndigs, Markus Spitzweck, Paul Arne Østvær The motivic Hopf map solves the homotopy limit problem for K-theory.. In: Documenta Mathematica , 2018, 1405-1405 |
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| 2018 | Jeremiah Heller, Mirca Voineagu, Paul Arne Østvær: Topological comparison theorems for Bredon motivic cohomology. In: Transactions of the American Mathematical Society, 2018, 2875-2921 |
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| 2018 | Kyle Ormsby, Oliver Röndigs, Paul Arne Østvær: Vanishing in stable motivic homotopy sheaves. In: Forum of Mathematics, Sigma, 2018, 1-20 |
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| 2017 | Marc Hoyois, Shane Kelly, Paul Arne Østvær: The motivic Steenrod algebra in positive characteristic. In: Journal of the European Mathematical Society , 2017, 3813-3849 |
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| 2017 | Glen Wilson, Paul Arne Østvær: Two-complete stable motivic stems over finite fields. In: Algebraic and Geometric Topology, 2017, 1059-1104 |
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