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.

*The positive mass theorem and distance estimates in the spin setting*(with S. Cecchini). arXiv*Scalar and mean curvature comparison via the Dirac operator*(with S. Cecchini). arXiv

- Band width estimates via the Dirac operator.
*Journal of Differential Geometry*, to appear. arXiv - 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 eLibM - 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

- 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. PDF (via sciebo) - 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

*Scalar and mean curvature comparison via the Dirac operator*. The 4th Geometric Analysis Festival, Oct 2021.*Scalar and mean curvature comparison via the Dirac operator*. Oberwolfach workshop Analysis, Geometry and Topology of Positive Scalar Curvature Metrics, Jun 2021.*Scalar and mean curvature comparison via the Dirac operator*. Topology Seminar Bonn, Jun 2021.*Scalar and mean curvature comparison via the Dirac operator*. Forschungsseminar Differentialgeometrie Potsdam, May 2021.*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

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

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

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

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

- 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*.

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

University of Münster

Mathematisches Institut

Einsteinstr. 62

48149 Münster, Germany

Office: 517

Phone: +49 251 83-33740

Email: rudolf.zeidler@uni-muenster.de