Rudolf Zeidler

Publications

Preprints

• 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

Refereed articles

• 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

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. 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

Teaching

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).