Mathematisches Institut
Im Neuenheimer Feld 205
69120 Heidelberg
Germany
Office: 1101-D401
Email: mlueders{at}mathi.uni-heidelberg.de
About me
I am a postdoc at Heidelberg University in the group of Prof. Dr. Alexander Schmidt. Before I was a postdoc at Jussieu, Paris, working with Dr. Matthew Morrow (CNRS) and funded by the DFG, and at Leibniz University Hannover in the group of Prof. Dr. Stefan Schreieder. I did my Phd with Prof. Dr. Moritz Kerz at the University of Regensburg and was partially supported by the SFB 1085 Higher Invariants.
Research Interests
Arithmetic and algebraic geometry (in particular algebraic cycles), K-theory, motivic cohomology and p-adic Hodge theory, birational geometry, resolution of singularities.
Preprints/Publications
The Gersten conjecture for p-adic étale Tate twists and the p-adic cycle class map, preprint.
Zero-cycles in families of rationally connected varieties, preprint.
Bloch-Ogus theory for smooth and semi-stable schemes in mixed characteristic, preprint.
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, preprint.
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 koefficients 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
My thesis, see the link below and obtained in 2018, contains the articles 7.-10. It also contains an introduction relating the four articles as well as small results and conjectures which do not appear in the articles.
Chow groups of zero- and one-cycles on schemes over local fields and henselian discrete valuation rings, Phd-thesis.
Teaching
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