Rudolf Zeidler

arXiv MathSciNet zbMATH ORCID Google Scholar CV

I am a mathematician working in geometry, topology and analysis. My specific research interests include Riemannian metrics with lower scalar curvature bounds, spin geometry and Dirac operators, index theory, K-theory of operator algebras, and coarse geometry.

I hold the position of a postdoctoral research and teaching associate (formal title: akademischer Rat auf Zeit) at the Mathematical Institute of the University of Münster, where I am an investigator in the Cluster of Excellence Mathematics Münster. I am also a project leader in a subproject of the DFG priority programme Geometry at Infinity.

During the summer term 2020 I was on leave from Münster in order to serve as a Vertretungsprofessor at the Mathematical Institute of the University of Göttingen.

Publications

Peer-reviewed articles

Scalar and mean curvature comparison via the Dirac operator (with S. Cecchini). Geometry & Topology, to appear. arXiv
Band width estimates via the Dirac operator. Journal of Differential Geometry, 2022. arXiv DOI
On the range of the relative higher index and the higher rho-invariant for positive scalar curvature (with Z. Xie, G. Yu). Advances in Mathematics, 2021. arXiv DOI
Transfer maps in generalized group homology via submanifolds (with M. Nitsche, T. Schick). Documenta Mathematica, 2021. arXiv DOI
Slant products on the Higson-Roe exact sequence (with A. Engel, C. Wulff). Annales de l’Institut Fourier, 2021. arXiv DOI
Width, Largeness and Index Theory. SIGMA, Special Issue on Scalar and Ricci Curvature in honor of Misha Gromov on his 75th Birthday, 2020. arXiv DOI
Positive scalar curvature and low-degree group homology (with N. Bárcenas). Annals of K-Theory, 2018. arXiv DOI
An index obstruction to positive scalar curvature on fiber bundles over aspherical manifolds. Algebraic & Geometric Topology, 2017. arXiv DOI
Positive scalar curvature and product formulas for secondary index invariants. Journal of Topology, 2016. arXiv DOI
Coarse median structures and homomorphisms from Kazhdan groups. Geometriae Dedicata, 2016. arXiv DOI

Preprints

Nonnegative scalar curvature on manifolds with at least two ends (with S. Cecchini, D. Räde). arXiv
The positive mass theorem and distance estimates in the spin setting (with S. Cecchini). arXiv

Surveys, reports and theses

Scalar curvature and generalized Callias operators (with S. Cecchini). Survey, to appear in Perspectives in Scalar Curvature, volume edited by M. Gromov and B. Lawson, World Scientific, 2022. PDF (via sciebo) DOI
Scalar and mean curvature comparison via the Dirac operator. Extended abstract in Oberwolfach Rep. 30/2021: Analysis, Geometry and Topology of Positive Scalar Curvature Metrics. DOI
Secondary large-scale index theory and positive scalar curvature. Extended abstract in Oberwolfach Rep. 36/2017: Analysis, Geometry and Topology of Positive Scalar Curvature Metrics. DOI
Primary and secondary obstructions to positive scalar curvature via submanifolds. Extended abstract in Oberwolfach Rep. 35/2016: Topologie. DOI
Secondary large-scale index theory and positive scalar curvature. Doctoral thesis, University of Göttingen, 2016. DOI
Coarse median structures on groups, Master’s thesis, University of Vienna, 2013. DOI

Upcoming and recent talks

Workshop on Mathematical Relativity, Scalar Curvature and Synthetic Lorentzian Geometry, Fields Institute, Oct 2022. youtube
Oberwolfach workshop Non-commutative geometry and cyclic homology, Aug 2022.
Recent Advances on Scalar Curvature Problems, Simons Center for Geometry and Physics, Jun 2022. video
Differential Geometry in the Large, Karlsruhe, Jun 2022.
Not Only Scalar Curvature Seminar, Jan 2022. youtube
The 4th Geometric Analysis Festival, Oct 2021. youtube
Oberwolfach workshop Analysis, Geometry and Topology of Positive Scalar Curvature Metrics, Jun 2021.
Topology Seminar Bonn, Jun 2021.
Forschungsseminar Differentialgeometrie Potsdam, May 2021.
Oberseminar Differentialgeometrie Münster, Apr 2021.
Pure Mathematics Colloquium at Southampton, Mar 2021.
Global Noncommutative Geometry Seminar, Sep 2020. youtube
Virtual Workshop on Ricci and Scalar Curvature, Aug 2020. youtube

Teaching

Winter 2022/23

Seminar: Higher index theory (with G. Frenck). PDF (via sciebo)
Exercise classes for the lecture “Differential equations” (with B. Santoro). Learnweb

Summer 2022

Seminar on index theory: Local index theory and boundary value problems (with J. Ebert, U. Ludwig). Learnweb
Exercise classes for the lecture “Fields and Constructions” (with A. Bartels). Learnweb

Winter 2021/22

Exercise classes for Analysis III (with S. Echterhoff).
Seminar: Seiberg-Witten theory (with G. Frenck). PDF (via sciebo)

Summer 2021

Exercise classes for Analysis II (with S. Echterhoff). Learnweb

Winter 2020/21

Exercise classes for Analysis I (with S. Echterhoff). Learnweb
Seminar: Generalized soap bubbles and scalar curvature (with A. Engel). PDF (via sciebo)

Summary of past teaching

University of Göttingen (Summer 2020)

Lecture course: Mathematics for physics students II. Stud.IP
Oberseminar Topology and Geometry (with S. Cecchini, T. Schick).

University of Münster (Winter 2016/17 - Winter 2019/20)

Lecture course: Coarse index theory
(Co-)organized seminars: Positive scalar curvature; Vector bundles and K-theory; Conic sections; Topics from analysis.
Organization of exercises: Linear algebra I and II; Algebra (2x); Foundations of Analysis, Topology and Geometry; Group theory.

University of Vienna (Winter 2010/11 - Summer 2012)

Teaching assistant: Introduction to computer infrastructure for mathematicians (4x).

Contact

University of Münster
Mathematisches Institut
Einsteinstr. 62
48149 Münster, Germany

Office: 517
Phone: +49 251 83-33740
Email: rudolf.zeidler@uni-muenster.de