Overview/Überblick

Research interests/Forschungsinteressen

Differential Geometry and Topology, Transformation Groups, Toric Topology, Equivariant Bordism, Positive and Non-negative Curvature

Differentialgeometrie und Differentialtopologie, Transformationsgruppen, torische Topologie, äquivarianter Bordismus, positive und nicht-negative Krümmung

Selected Publications/Ausgewählte Veröffentlichungen

(mit Johannes Ebert) On the homotopy type of the space of metrics of positive scalar curvature, J. Eur. Math. Soc. (2023), veröffentlichte Version: DOI:10.4171/JEMS/1333, Preprint Version: arXiv:2012.00432
(mit Wilderich Tuschmann) On the topology of moduli spaces of non-negatively curved Riemannian metrics, Math. Ann. 384 (2022) No. 3-4, 1629-1651, veröffentlichte Version: DOI:10.1007/s00208-021-02327-y, Preprint Version: arXiv:1712.07052
(mit Oliver Goertsches) Non-negatively curved GKM orbifolds, Math. Z. 300 (2022) No. 2, 2007-2036, veröffentlichte Version: DOI:10.1007/s00209-021-02853-0, Preprint Version: arXiv:1802.05871
On moduli spaces of positive scalar curvature metrics on highly connected manifolds, Int. Math. Res. Not. IMRN 2021 (2021) No. 11, 8698-8714, veröffentlichte Version: DOI:10.1093/imrn/rnz386, Preprint Version: arXiv:1610.09658
S^1-equivariant bordism, invariant metrics of positive scalar curvature, and rigidity of elliptic genera, J. Topol. Anal. 12 (2020) No. 4, 1103-1156, veröffentlichte Version: DOI:10.1142/S1793525319500766, Preprint Version: arXiv:1506.04073
(mit Bernhard Hanke) An equivariant Quillen theorem, Adv. Math. 340 (2018), 48-75, veröffentlichte Version: DOI:10.1016/j.aim.2018.10.009, Preprint Version: arXiv:1711.02399
(mit Fernando Galaz-Garcia, Martin Kerin und Marco Radeschi) Torus orbifolds, slice-maximal torus actions and rational ellipticity, Int. Math. Res. Not. IMRN 2018 (2018) No. 18, 5786-5822, veröffentlichte Version: DOI:10.1093/imrn/rnx064, Preprint Version: arXiv:1404.3903
Circle actions and scalar curvature, Trans. Amer. Math. Soc. 368 (2016), No. 4, 2939-2966, veröffentlichte Version: DOI:10.1090/tran/6666, Preprint Version: arXiv:1305.2288
Torus manifolds and non-negative curvature, J. Lond. Math. Soc., II. Ser. 91 (2015), No. 3, 667-692, veröffentlichte Version: DOI:10.1112/jlms/jdv008, Preprint Version: arXiv:1401.0403
(mit Oliver Goertsches) Positively curved GKM-manifolds, Int. Math. Res. Not. IMRN, 2015 (2015), No. 22, 12015-12041, veröffentlichte Version: DOI:10.1093/imrn/rnv046, Preprint Version: arXiv:1402.2397
Torus manifolds with non-abelian symmetries Trans. Amer. Math. Soc., 364 (2012), No. 3, 1427-1487, veröffentlichte Version: DOI:10.1090/S0002-9947-2011-05463-2, Preprint Version: arXiv:0911.4936

Accepted Papers/Angenommene Arbeiten

On a conjecture of Stolz in the toric case, arXiv:2310.08456, erscheint in Proc. Amer. Math. Soc.
Rigidity of elliptic genera for non-spin manifolds, arXiv:2212.01059, erscheint in Algebr. Geom. Topol.

Recent Preprints/Aktuelle Preprints

(mit Anusha M. Krishnan) 10-dimensional positively curved manifolds with T^3-symmetry, arXiv:2310.12689, 2023
On circle actions with exactly three fixed points, arXiv:2303.15396, 2023
(mit Lee Kennard und Burkhard Wilking) Positive curvature, torus symmetry, and matroids, arXiv:2212.08152, 2022
(mit Lee Kennard und Burkhard Wilking) Splitting of torus representations and applications in the Grove symmetry program, arXiv:2106.14723, 2021

Selected Talks/Ausgewählte Vorträge

Positive Curvature, Symmetries, and Matroids, International Polyhedral Products Seminar, Princeton University, USA, 7. Oktober 2021
Positively curved manifolds with isometric torus actions, SPP 2026 Geometry at Infinity Conference, Münster, 4. April 2019
Equivariant bordism and applications in differential geometry, Augsburger Mathematisches Kolloquium, Universität Augsburg, 12. Januar 2016, Slides
Invariant metrics of positive scalar curvature on S^1-manifolds, Workshop on Curvature and Global Shape, Münster, 30. Juli 2015
Invariant metrics of positive scalar curvature on S^1-manifolds, Geometry and Topology, A conference in honor of Martin Bendersky's 70th birthday and in commemoration of our friend and colleague Sam Gitler, Princeton, 18. März 2015, Slides
Circle actions and positive scalar curvature, Oberwolfach Workshop: Analysis, Geometry and Topology of Positive Scalar Curvature Metrics, Oberwolfach, 6. August 2014
Non-negatively curved torus manifolds, Mathematical Congress of the Americas 2013, Special Session on Toric Geometry and Topology, Guanajuato, Mexico, 9. August 2013, Slides
Non-negatively curved torus manifolds, Workshop on Curvature and Global Shape, Münster, 23. Juli 2013

MichaelWiemeler

Geometry and Topology