Rudolf Zeidler

arXiv MathSciNet zbMATH ORCID Google Scholar

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

Currently, I hold the position of a postdoctoral research associate (formal title: akademischer Rat auf Zeit) at the Mathematical Institute of the University of Münster, where I am part of the Topology Group. I am also an investigator in the Cluster of Excellence Mathematics Münster and a member 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

Refereed articles

Band width estimates via the Dirac operator. Journal of Differential Geometry (to appear). arXiv
Slant products on the Higson-Roe exact sequence (with A. Engel, C. Wulff). Annales de l’Institut Fourier (to appear). arXiv
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

Scalar and mean curvature comparison via the Dirac operator (with S. Cecchini). arXiv
Transfer maps in generalized group homology via submanifolds (with M. Nitsche, T. Schick). arXiv
On the range of the relative higher index and the higher rho-invariant for positive scalar curvature (with Z. Xie, G. Yu). 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, 2021.
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

TBA. Topology Seminar Bonn, 2021-06-15.
Scalar and mean curvature comparison via the Dirac operator. Forschungsseminar Differentialgeometrie Potsdam, 2021-05-20.
Scalar and mean curvature comparison via the Dirac operator. Oberseminar Differentialgeometrie Münster, Apr 2021.
Scalar and mean curvature comparison via the Dirac operator. Pure Mathematics Colloquium at Southampton, Mar 2021.
Scalar curvature comparison via the Dirac operator. Global Noncommutative Geometry Seminar, Sep 2020. youtube
Width, largeness and index theory. Virtual Workshop on Ricci and Scalar Curvature, Aug 2020. youtube

Teaching

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