Röndigs, Oliver

Wintersemester 2025/26

• Analysis III
• Mathematische Software
• MK/RC K-Theorie
• Oberseminar Topologie

Sommersemester 2025

• Analysis II
• Elemente der Geometrie (BEU)
• Mathematische Software
• Oberseminar Topologie

Jan. 2017 – Dec. 2020, Jan. 2024 – July 2025 : Professor II (part time), Universitetet i Oslo, Norwegen
Since August 2011 : Professor (W3), Universität Osnabrück
Since March 2010 : Professor (W2), Universität Osnabrück
Since Oct. 2006 : Juniorprofessor (W1), Universität Osnabrück
July 2004 – Sept. 2006 : Assistant at Fakultät für Mathematik, Universität Bielefeld (Prof. Dr. M. Rost)
July 2002 – June 2004 : Postdoctoral Fellow, University of Western Ontario, London, Ontario, Canada
June 2002 : Ph.D. in Mathematics, Universität Bielefeld (Advisor: Prof. Dr. Friedhelm Waldhausen)

Drittmittel/External funding:

• Zukunft Niedersachsen grant “Rational motivic homotopy and rational points” (with I. Dan-Cohen, 1 PhD 2023-2026)
• DFG grant “Purity in motivic homotopy” (with M. Spitzweck, 1 PhD 2023-2026)
• DFG grant “Algebraic bordism spectra: computations, filtrations, applications” in cooperation with RSF (with A. Ananyevskiy, St. Petersburg, 1 PhD 2020-2023)
• DFG grant “Operads in algebraic geometry and their realizations” in DFG SPP 1786 (with J. Hornbostel, M. Spitzweck and M. Stelzer, 1 Postdoc 2019-2021)
• DFG grant “Applying motivic filtrations” in DFG SPP 1786 (with M. Levine and M. Spitzweck, 2 Postdocs 2019-2021)
• DFG grant “Operad structures in motivic homotopy theory” in DFG SPP 1786 (with Markus Spitzweck, 1 Postdoc 2016-2019)
• DFG grant “Motivic filtrations over Dedekind domains” in DFG Schwerpunktprogramm 1786 “Homotopy theory and algebraic geometry” (with Marc Levine and Markus Spitzweck, 1 Postdoc and 1 PhD 2015-2018)
• Host of Utsav Choudhurys Humboldt stipend (2014-2015)
• DFG graduate school 1916 “Combinatorial structures in geometry” (with 7 colleages of FB 6, Universität Osnabrück, 2 Postdocs and 8 PhDs, 2013-2019)
• DFG grant “Goodwillie towers, realizations, and En -structures” (1 Postdoc 2012-2014)
• DFG grant “Combinatorial structures in algebra and topology” (with H. Brenner, W. Bruns, T. Römer and R. Vogt, 2 Postdocs 2009-2013)
• Februar 2008 “Research in Pairs” in Oberwolfach (with Joseph Ayoub, now Universität Zürich, Switzerland)
• Graduate school “Combinatorial structures in algebra and topology”, Universität Osnabrück and Volkswagen-Stiftung (with H. Brenner, W. Bruns, T. Römer and R. Vogt, 5 PhDs 2008-2011)
• Fields Institute for Research in Mathematical Sciences Research Stipend 2007: “Applications of homotopy theory”

Zehn ausgewaehlte Publikationen/10 selected publications:

(1) O. Röndigs, M. Spitzweck, and P. A. Østvær. The second stable homotopy groups of motivic spheres.
Duke Math. J., 137(6):1017–1084, 2024
(2) O. Röndigs. Endomorphisms of the projective plane and the image of the Suslin-Hurewicz map. In-
vent. Math., 232(3):1161–1194, 2023.
(3) O. Röndigs. Remarks on motivic Moore spectra. In Motivic homotopy theory and refined enumerative
geometry, 199–215, Contemp. Math., 745, AMS, Providence, RI, 2020.
(4) J. I. Kylling, O. Röndigs and P. A. Østvær. Hermitian K-theory, Dedekind ζ-functions, and quadratic
forms over rings of integers in number fields. Camb. J. Math., 8(3):505–607, 2020.
(5) K. Ormsby and O. Röndigs. The homotopy groups of the η-periodic motivic sphere spectrum. Pacific
J. Math., 306(2):679–697, 2020.
(6) O. Röndigs, M. Spitzweck and P. A. Østvær. The first stable homotopy groups of motivic spheres. Ann.
of Math. (2), 189(1):1–74, 2019.
(7) O. Röndigs. On the η-inverted sphere. In K-Theory, volume 19 of Tata Inst. Fundam. Res. Stud. Math.,
41–63. Tata Inst. Fand. Res., Mumbai, 2018.
(8) O. Röndigs and P. A. Østvær. Slices of hermitian K-theory and Milnor’s conjecture on quadratic forms.
Geometry and Topology, 20(2):1157–1212, 2016.
(9) I. Panin, K. Pimenov and O. Röndigs. On the relation of Voevodsky’s algebraic cobordism to Quillen’s
K-theory. Invent. Math., 175(2):435–451, 2009.
(10) O. Röndigs and P. A. Østvær. Modules over motivic cohomology. Adv. Math., 219(2):689–727, 2008.