Dr. Morten Lüders

Ruprecht-Karls-Universität Heidelberg

Institut für Mathematik

Im Neuenheimer Feld 205

69120 Heidelberg

Germany

Office: 3.304

Email: mlueders{at}mathi.uni-heidelberg.de

About me

Currently I have an own position (eigene Stelle) funded by the DFG at the University of Heidelberg in the group of Prof. Dr. Alexander Schmidt.

I did my Phd with Prof. Dr. Moritz Kerz at the University of Regensburg and was partially supported by the SFB 1085 Higher Invariants. Afterwards I was a postdoc at Jussieu, Paris, working with Dr. Matthew Morrow (CNRS) and funded by the DFG, and then a postdoc at Leibniz University Hannover in the group of Prof. Dr. Stefan Schreieder. During the summer term 2025 I replaced Prof. Dr. Georg Oberdieck at the University of Heidelberg (Vertretungsprofessur für algebraische Geometrie im SoSe 2025).

Research Interests

Arithmetic and algebraic geometry (in particular algebraic cycles), K-theory, motivic cohomology, p-adic Hodge theory and birational geometry (in particular rationality problems).

Preprints/Publications

On the diagonal of low bidegree hypersurfaces, (with Elia Fiammengo), preprint.
On the diagonal of quartic hypersurfaces and (2,3)-complete intersection n-folds, (with Elia Fiammengo), preprint.
On analogues of the Kato conjectures and proper base change for 1-cycles on rationally connected varieties, preprint.
p-adic tame Tate twists, preprint.
The Gersten conjecture for p-adic étale Tate twists and the p-adic cycle class map, preprint.
Bloch-Ogus theory for smooth and semi-stable schemes in mixed characteristic, to appear in Épijournal de Géometrie algébrique (EPIGA).
Zero-cycles in families of rationally connected varieties, Selecta Mathematica, Volume 30, Article 68, 43 pages.
Milnor K-theory of p-adic rings, (with Matthew Morrow), Journal für die Reine und Angewandte Mathematik (Crelles Journal), vol. 2023, no. 796, 2023, pp. 69-116.
On the relative Gersten conjecture for Milnor K-theory in the smooth case, Journal of Pure and Applied Algebra, Volume 228, Issue 11, November 2024.
A local to global principle for higher zero-cycles, (with Johann Haas), Journal of Number Theory, Volume 220 (2021), pp. 235–265.
Deformation theory of the Chow group of zero-cycles, Quarterly Journal of Mathematics Volume 2 (2020), Issue 2, pp. 677-702.
Algebraization for zero-cycles and the p-adic cycle class map, Mathematical Research Letters, Volume 26 (2019) Number 2, pp. 557-585.
A restriction isomorphism for zero cyclces with coefficients in Milnor K-theory, Cambridge Journal of Mathematics, Volume 7 (2019) Number 1-2, pp. 1-31.
On a base change conjecture for higher zero cycles, Homology, Homotopy and Applications, Volume 20 (2018) Number 1, pp. 59-68.

Thesis

Chow groups of zero- and one-cycles on schemes over local fields and henselian discrete valuation rings, Phd-thesis.

Teaching

SoSe 25: Lecture: Algebraic Geometry II, Seminar: Fourier-Moukai transforms in algebraic geometry

WiSe 24/25: Assistent für Galoiskohomologie I, Seminar zu quadratischen Formen und Milnor-Witt K-Theorie

SoSe 24: Vorlesung Algebraische Zahlentheorie II

WiSe 23/24: Übung Etalkohomologie I

SoSe 23: Übung Algebraische Geometrie II

WiSe 22/23: Übung Mathematik für Ingenieure I

Previous events

Symposium: “Connecting Young Women in Geometry and Arithmetic”, 26.-28. May 2025