Edit Profile (opens in new tab) Röndigs, Oliver Compute Distance To: Compute Author ID: rondigs.oliver Published as: Röndigs, Oliver Homepage: https://www.mathematik.uni-osnabrueck.de/index.php?id=1956 External Links: MGP Documents Indexed: 29 Publications since 2003, including 1 Book 1 Contribution as Editor Reviewing Activity: 17 Reviews Co-Authors: 22 Co-Authors with 27 Joint Publications 283 Co-Co-Authors all top 5 Co-Authors 3 single-authored 18 Østvær, Paul Arne 6 Spitzweck, Markus 3 Dundas, Bjørn Ian 3 Panin, Ivan A. 3 Pimenov, Konstantin 2 Biedermann, Georg 2 Gutiérrez, Javier J. 2 Levine, Marc Noel 2 Ormsby, Kyle M. 1 Ananyevskiy, Alexey 1 Binda, Federico 1 Büscher, Sebastian 1 Chorny, Boris 1 Grygierek, Jens 1 Hebestreit, Fabian 1 Juhnke-Kubitzke, Martina 1 Kylling, Jonas Irgens 1 Nguyen, Manh Toan 1 Reitzner, Matthias 1 Römer, Tim 1 Stelzer, Manfred 1 Voevodskiĭ, Vladimir Aleksandrovich all top 5 Serials 3 Documenta Mathematica 3 Homology, Homotopy and Applications 2 Advances in Mathematics 2 Mathematische Annalen 2 Algebraic & Geometric Topology 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Geometry & Topology 1 Annals of Mathematics. Second Series 1 The Quarterly Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Contemporary Mathematics 1 Journal of Topology 1 Forum of Mathematics, Sigma 1 Cambridge Journal of Mathematics 1 Universitext all top 5 Fields 24 Algebraic geometry (14-XX) 21 Algebraic topology (55-XX) 9 \(K\)-theory (19-XX) 7 Category theory; homological algebra (18-XX) 2 Number theory (11-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 246 times in 141 Documents Cited by ▼ Year ▼ Modules over motivic cohomology. Zbl 1180.14015Röndigs, Oliver; Østvær, Paul Arne 35 2008 Motivic functors. Zbl 1042.55006Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne 22 2003 On Voevodsky’s algebraic \(K\)-theory spectrum. Zbl 1179.14022Panin, Ivan; Pimenov, Konstantin; Röndigs, Oliver 18 2009 Enriched functors and stable homotopy theory. Zbl 1040.55002Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne 18 2003 Calculus of functors and model categories. Zbl 1125.55011Biedermann, Georg; Chorny, Boris; Röndigs, Oliver 17 2007 Rigidity in motivic homotopy theory. Zbl 1180.14014Röndigs, Oliver; Østvær, Paul Arne 16 2008 The first stable homotopy groups of motivic spheres. Zbl 1406.14018Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul 16 2019 A universality theorem for Voevodsky’s algebraic cobordism spectrum. Zbl 1162.14013Panin, Ivan; Pimenov, Konstantin; Röndigs, Oliver 15 2008 Motivic slices and coloured operads. Zbl 1258.18012Gutiérrez, Javier J.; Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne 14 2012 Slices of Hermitian \(K\)-theory and Milnor’s conjecture on quadratic forms. Zbl 1416.19001Röndigs, Oliver; Østvær, Paul 13 2016 Motives and modules over motivic cohomology. Zbl 1097.14016Röndigs, Oliver; Østvær, Paul Arne 12 2006 Motivic strict ring models for \(K\)-theory. Zbl 1209.14018Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne 10 2010 Calculus of functors and model categories. II. Zbl 1307.55009Biedermann, Georg; Röndigs, Oliver 8 2014 Motivic homotopy theory. Lectures at a summer school in Nordfjordeid, Norway, August 2002. Zbl 1118.14001Dundas, Bjørn Ian; Levine, Marc; Østvær, Paul Arne; Röndigs, Oliver; Voevodsky, V. 7 2007 On the relation of Voevodsky’s algebraic cobordism to Quillen’s \(K\)-theory. Zbl 1205.14023Panin, Ivan; Pimenov, Konstantin; Röndigs, Oliver 6 2009 On the \(\eta\)-inverted sphere. Zbl 1451.14069Röndigs, Oliver 4 2019 On very effective Hermitian \(K\)-theory. Zbl 1453.14064Ananyevskiy, Alexey; Röndigs, Oliver; Østvær, Paul Arne 3 2020 Theta characteristics and stable homotopy types of curves. Zbl 1196.14028Röndigs, Oliver 2 2010 Hermitian \(K\)-theory, Dedekind \(\zeta \)-functions, and quadratic forms over rings of integers in number fields. Zbl 1456.11221Kylling, Jonas Irgens; Röndigs, Oliver; Østvær, Paul Arne 2 2020 The multiplicative structure on the graded slices of Hermitian \(K\)-theory and Witt-theory. Zbl 1352.14013Röndigs, Oliver; Østvær, Paul Arne 2 2016 The motivic Hopf map solves the homotopy limit problem for \(K\)-theory. Zbl 1423.14157Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne 2 2018 Motivic homotopy theory and refined enumerative geometry. Workshop, Universität Duisburg-Essen, Essen, Germany, May 14–18, 2018. Zbl 1435.14021 1 2020 The homotopy groups of the \(\eta \)-periodic motivic sphere spectrum. Zbl 1444.14051Ormsby, Kyle; Röndigs, Oliver 1 2020 Cellularity of Hermitian \(K\)-theory and Witt-theory. Zbl 1451.19013Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne 1 2019 The Arone-Goodwillie spectral sequence for \(\Sigma^{\infty }\Omega^{n}\) and topological realization at odd primes. Zbl 1262.55008Büscher, Sebastian; Hebestreit, Fabian; Röndigs, Oliver; Stelzer, Manfred 1 2013 On very effective Hermitian \(K\)-theory. Zbl 1453.14064Ananyevskiy, Alexey; Röndigs, Oliver; Østvær, Paul Arne 3 2020 Hermitian \(K\)-theory, Dedekind \(\zeta \)-functions, and quadratic forms over rings of integers in number fields. Zbl 1456.11221Kylling, Jonas Irgens; Röndigs, Oliver; Østvær, Paul Arne 2 2020 Motivic homotopy theory and refined enumerative geometry. Workshop, Universität Duisburg-Essen, Essen, Germany, May 14–18, 2018. Zbl 1435.14021 1 2020 The homotopy groups of the \(\eta \)-periodic motivic sphere spectrum. Zbl 1444.14051Ormsby, Kyle; Röndigs, Oliver 1 2020 The first stable homotopy groups of motivic spheres. Zbl 1406.14018Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul 16 2019 On the \(\eta\)-inverted sphere. Zbl 1451.14069Röndigs, Oliver 4 2019 Cellularity of Hermitian \(K\)-theory and Witt-theory. Zbl 1451.19013Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne 1 2019 The motivic Hopf map solves the homotopy limit problem for \(K\)-theory. Zbl 1423.14157Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne 2 2018 Slices of Hermitian \(K\)-theory and Milnor’s conjecture on quadratic forms. Zbl 1416.19001Röndigs, Oliver; Østvær, Paul 13 2016 The multiplicative structure on the graded slices of Hermitian \(K\)-theory and Witt-theory. Zbl 1352.14013Röndigs, Oliver; Østvær, Paul Arne 2 2016 Calculus of functors and model categories. II. Zbl 1307.55009Biedermann, Georg; Röndigs, Oliver 8 2014 The Arone-Goodwillie spectral sequence for \(\Sigma^{\infty }\Omega^{n}\) and topological realization at odd primes. Zbl 1262.55008Büscher, Sebastian; Hebestreit, Fabian; Röndigs, Oliver; Stelzer, Manfred 1 2013 Motivic slices and coloured operads. Zbl 1258.18012Gutiérrez, Javier J.; Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne 14 2012 Motivic strict ring models for \(K\)-theory. Zbl 1209.14018Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne 10 2010 Theta characteristics and stable homotopy types of curves. Zbl 1196.14028Röndigs, Oliver 2 2010 On Voevodsky’s algebraic \(K\)-theory spectrum. Zbl 1179.14022Panin, Ivan; Pimenov, Konstantin; Röndigs, Oliver 18 2009 On the relation of Voevodsky’s algebraic cobordism to Quillen’s \(K\)-theory. Zbl 1205.14023Panin, Ivan; Pimenov, Konstantin; Röndigs, Oliver 6 2009 Modules over motivic cohomology. Zbl 1180.14015Röndigs, Oliver; Østvær, Paul Arne 35 2008 Rigidity in motivic homotopy theory. Zbl 1180.14014Röndigs, Oliver; Østvær, Paul Arne 16 2008 A universality theorem for Voevodsky’s algebraic cobordism spectrum. Zbl 1162.14013Panin, Ivan; Pimenov, Konstantin; Röndigs, Oliver 15 2008 Calculus of functors and model categories. Zbl 1125.55011Biedermann, Georg; Chorny, Boris; Röndigs, Oliver 17 2007 Motivic homotopy theory. Lectures at a summer school in Nordfjordeid, Norway, August 2002. Zbl 1118.14001Dundas, Bjørn Ian; Levine, Marc; Østvær, Paul Arne; Röndigs, Oliver; Voevodsky, V. 7 2007 Motives and modules over motivic cohomology. Zbl 1097.14016Röndigs, Oliver; Østvær, Paul Arne 12 2006 Motivic functors. Zbl 1042.55006Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne 22 2003 Enriched functors and stable homotopy theory. Zbl 1040.55002Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne 18 2003 all cited Publications top 5 cited Publications all top 5 Cited by 138 Authors 19 Østvær, Paul Arne 13 Röndigs, Oliver 11 Levine, Marc Noel 8 Spitzweck, Markus 6 Garkusha, Grigory 6 Panin, Ivan A. 5 Ananyevskiy, Alexey 5 Asok, Aravind 5 Chorny, Boris 5 Pelaez, Pablo 5 Tabuada, Gonçalo 4 Bachmann, Tom 4 Biedermann, Georg 4 Fasel, Jean 4 Gutiérrez, Javier J. 4 Ormsby, Kyle M. 4 Rosický, Jiří 3 Barnes, David 3 Casacuberta, Carles 3 Heller, Jeremiah 3 Quigley, James D. 3 White, David 2 Binda, Federico 2 Cisinski, Denis-Charles 2 Culver, Dominic Leon 2 Déglise, Frédéric 2 Dotto, Emanuele 2 Druzhinin, Andreĭ É. 2 Dwyer, William G. 2 Eldred, Rosona 2 Hornbostel, Jens 2 Hoyois, Marc 2 Isaksen, Daniel C. 2 Jones, Darren 2 Khan, Adeel A. 2 Kong, Hana Jia 2 Krishna, Amalendu 2 Naumann, Niko 2 Navarro, Alberto 2 Oman, Peter J. 2 Roitzheim, Constanze Susanne Ruth 2 Walter, Charles H. 2 Weibel, Charles A. 2 Yang, Yaping 2 Yau, Donald Y. 2 Zhao, Gufang 1 Al Hwaeer, Hassan 1 Arcila Maya, Niny 1 Ayoub, Joseph 1 Bandklayder, Lauren 1 Batanin, Michael A. 1 Behrens, Mark Joseph 1 Beilinson, Alexander A. 1 Berger, Clemens 1 Bergner, Julie 1 Bethea, Candace 1 Blumberg, Andrew J. 1 Bondarko, Mikhail Vladimirovich 1 Chachólski, Wojciech 1 Ching, Michael 1 Dai, Shouxin 1 Dugger, Daniel 1 Dundas, Bjørn Ian 1 Elmanto, Elden 1 Geisser, Thomas H. 1 Gepner, David 1 Gheorghe, Bogdan 1 Griffiths, Rhiannon 1 Harper, John E. 1 Hausmann, Markus 1 Heard, Drew 1 Hemminger, David R. 1 Herrmann, Philip 1 Hesselholt, Lars 1 Heuts, Gijs 1 Hoefel, Eduardo 1 Holmstrom, Andreas 1 Horel, Geoffroy 1 Hu, Po 1 Huber-Klawitter, Annette 1 Iwanari, Isamu 1 Jin, Fangzhou 1 Joachimi, Ruth 1 Johnson, Brenda Lynn 1 Kahn, Bruno 1 Kapranov, Mikhail M. 1 Kazhdan, David A. 1 Kelly, Shane P. 1 Kerz, Moritz C. 1 Kim, Youngsoo 1 Kondo, Satoshi 1 Kříž, Igor 1 Kuhn, Nicholas J. 1 Lawson, Tyler Douglas 1 Lind, John Alexander 1 Livernet, Muriel 1 Malkiewich, Cary 1 Merkur’ev, Aleksandr Sergeevich 1 Morel, Fabien 1 Neshitov, Alexander ...and 38 more Authors all top 5 Cited in 51 Serials 15 Advances in Mathematics 9 Journal of Pure and Applied Algebra 8 Algebraic & Geometric Topology 7 Transactions of the American Mathematical Society 7 Documenta Mathematica 6 Journal of \(K\)-Theory 5 Compositio Mathematica 4 Journal of Algebra 4 Geometry & Topology 4 Annals of Mathematics. Second Series 4 Journal of the Institute of Mathematics of Jussieu 3 Inventiones Mathematicae 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Applied Categorical Structures 3 St. Petersburg Mathematical Journal 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of the London Mathematical Society 2 Topology and its Applications 2 Journal of the American Mathematical Society 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Homotopy and Related Structures 2 Journal of Topology 2 Annals of \(K\)-Theory 1 Russian Mathematical Surveys 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Fundamenta Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Mathematica Scandinavica 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 \(K\)-Theory 1 Forum Mathematicum 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Journal of Algebraic Geometry 1 Selecta Mathematica. New Series 1 Theory and Applications of Categories 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Proceedings of the Steklov Institute of Mathematics 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 Journal de l’École Polytechnique – Mathématiques 1 Proceedings of the American Mathematical Society. Series B 1 Higher Structures all top 5 Cited in 11 Fields 96 Algebraic geometry (14-XX) 91 Algebraic topology (55-XX) 53 \(K\)-theory (19-XX) 42 Category theory; homological algebra (18-XX) 7 Commutative algebra (13-XX) 6 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 2 History and biography (01-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year