Dr. habil. Manuel Amann

Research interests

Algebraic and Differential Topology, Riemannian Geometry.

I am a member of the DFG Priority Programme 2026 ’’Geometry at Infinity’’.

Former Students and PostDocs

Publications

Author(s)	Title	Published in/on	Year
Manuel Amann	Maximal Antipodal Sets and the Topology of Generalised Symmetric Spaces	arXiv:2101.01587	2021
Manuel Amann, Iskander Taimanov	On the formality of nearly K¨ahler manifolds and of Joyce’s examples in G2-holonomy	arXiv:2012.10915	2020
Manuel Amann	Counter-Examples to a generalised Toral Rank Conjecture	arXiv:2011.13411	2020
Manuel Amann	The Omnibus Conjecture—disproved	arXiv:2011.01827	2020
Manuel Amann, Peter Quast, Masoumeh Zarei.	The flavour of intermediate Ricci and homotopy when studying submanifolds of symmetric spaces.	arXiv:2010.15742	2020
Manuel Amann, Andreas Kollross	Equivariant formality of the isotropy action on Z_2+Z_2-symmetric spaces	arXiv:2002.07645	2020
Manuel Amann	Homology versus homotopy in fibrations and in limits	Rev. Mat. Iberoam. 38, no. 3, 857–882.	2022
Manuel Amann, Leopold Zoller	The toral rank conjecture and variants of equivariant formality	arXiv:1910.04746	2019
Manuel Amann, David González-Álvaro, Marcus Zibrowius.	Vector bundles of non-negative curvature over cohomogeneity one manifolds	Adv. Math. 405, Paper No. 108477, 51 pp.	2022
Manuel Amann, Masoumeh Zarei	On the equivariant cohomology of cohomogeneity one Alexandrov spaces	arXiv:1910.06309	2019
Manuel Amann, Lee Kennard	Positive curvature and torus symmetry in small dimensions	Commun. Contemp. Math. 22, no. 6, 1950053, 57 pp.	2020

Manuel Amann, Christian Lange, Marco Radeschi	Odd-dimensional orbifolds with all geodesics closed are are covered by manifolds	Math. Ann. 380, no. 3-4, 1355–1386	2021
Manuel Amann	A note on the Hilali conjecture	Forum Math. 29 (2017), no. 2, 251–257.	2017
Manuel Amann, Lee Kennard	On a generalized conjecture of Hopf with symmetry	Compos. Math. 153 (2017), no. 2, 313–322.	2017
Manuel Amann	On quasi-isometric nilpotent Lie groups	arxiv.org/abs/1710.04542	2017
Manuel Amann, Wolfgang Ziller	Geometrically formal homogeneous metrics of positive curvature	J. Geom. Anal., 26(2):996{1010	2016
Manuel Amann, Lee Kennard	Positive curvature and rational ellipticity	Algebr. Geom. Topol., 15(4):2269{2301	2015
Manuel Amann	Degrees of self-maps of simply-connected manifolds	Int. Math. Res. Not., IMRN, (18):8545-8589	2015
Manuel Amann	Computational complexity of topological invariants	Proc. Edinb. Math. Soc. (2) 58 (2015), no. 1, 2732.	2015
Manuel Amann	Deciding almost freeness of an action is NP-hard	arXiv:1508.04385	2015
Manuel Amann, Lee Kennard	Topological properties of positively curved manifolds with symmetry	Geom. Funct. Anal., 24(5):1377-1405,	2014

Manuel Amann	Special Holonomy on Special Spaces	arXiv:1403.1442	2014
Manuel Amann	Non-formal homogeneous spaces	Mathematische Zeitschrift, 274(3-4):1299-1325.	2013
Manuel Amann, Vitali Kapovitch	On fibrations with formal elliptic fibers	Advances in Mathematics, Vol. 231, No. 3-4, 2048-2068	2012
Manuel Amann	Partial classification results for Positive Quaternion Kähler Manifolds	International Journal of Mathematics, Vol. 23, No. 2, 1-39	2012
Manuel Amann	Cohomological consequences of (almost) free torus actions	arXiv:1204.6276	2012
Manuel Amann	Positive Quaternion Kaehler Manifolds with fourth Betti number equal to one	Topology and its Applications 158, 183-189	2011
Manuel Amann, Anand Dessai	The Â-genus of S1-manifolds with finite second homotopy group	C. R. Math. Acad. Sci. Paris, 283-285	2010
Manuel Amann	Modelling Geometry in Algebra – Curvature, Holonomy, Actions	Kumulative Habilitationsschrift, KIT	2015
Manuel Amann	Positive Quaternion Kähler Manifolds	Doktorarbeit, Universitätsbibliothek WWU Münster	2009
Manuel Amann	The homology of a double mapping cylinder	Diplomarbeit	2005

Talks

Konferenz “Spaces, structures, symmetries”, Bari, August 2022: The topology of symmetric spaces and the secrets it harbours on subspaces
Konferenz “Manifolds with Symmetries”, Universit¨at Stuttgart, March 2022: Fibrations with torus fibres and the Toral Rank Conjecture
Forschungsseminar “Differentialgeometrie und Analysis”, Universit¨at Marburg, Dezember 2021: Formality is all around
Konferenz “Symmetry and Shape”, Santiago de Compostela, Oktober 2021: Maximal antipodal sets and the topology of generalised symmetric spaces
Konferenz “Geometry in the Large”, St. Petersburg, August 2021: Maximal antipodal sets and the topology of generalised symmetric spaces
Seminar “Geometry, Topology and their Applications”, Novosibirsk/Moskau, Januar 2021: Fibrations with torus fibres and the toral rank conjecture
Konferenz ''Sub-Riemannian Geometry and Beyond, III'', Pisa, May 2020, postponed due to Covid-19: t.b.a.
Workshop ''Rational homotopy theory and Geometry'', Munich, March 2020, postponed due to Covid-19: Non-negatively curved vector bundles over cohomogeneity one manifolds
Konferenz ''Higher homotopy algebras in topology 2'', Trinity College Dublin, Ireland, March 2020: The toral rank conjecture and variants of equivariant formality
IMPA, Rio de Janeiro, February 2020: Non-negatively curved vector bundles over cohomogeneity one manifolds
Geometry Seminar, Aarhus, Denmark, December 2019: Non-negatively curved vector bundles over cohomogeneity one manifolds
Oberseminar Differentialgeometrie, Universität Münster, December 2019: Non-negatively curved vector bundles over cohomogeneity one manifolds
Konferenz ''Symmetry and Shape'', Santiago de Compostela, Spain, October 2019: On the topology of transitive and cohomogeneity one actions
Oberseminar Globale Analysis, Universität Regensburg, May 2019: On the topology of transitive and cohomogeneity one actions
SPP Konferenz Münster, April 2019: On the topology of transitive and cohomogeneity one actions
''Topology & Málaga Meeting'', Malaga, Spain, January 2019: Orbifolds with all geodesics closed
Kolloquium Hamburg, December 2018: Orbifolds with all geodesics closed
Forschungsseminar Differentialgeometrie, Hamburg, December 2018: On the topology of transitive and cohomogeneity one actions
Tagung DMV und KMS, Seoul, South Korea, October 2018: Orbifolds with all geodesics closed
Workshop ''New trends and open problems in Geometry'', Rauischholzhausen, August 2018: On Besse orbifolds
Konferenz GeToPhyMa, Universität Rabat, Marokko, July 2018: 6x1 hour minicourse, Curvature and Topology
40. Süddeutsches Kolloquium über Differentialgeometrie, Heidelberg, Mai 2018: Orbifolds with all geodesics closed
Oberseminar Differentialgeometrie, Münster, Mai 2018: Orbifolds with all geodesics closed
Oberseminar Geometrie und Topologie, Stuttgart, April 2018: Orbifaltigkeiten mit nur geschlossenen Geodätischen
UNAM Mexiko Stadt, April 2018: Orbidades con todas las geodésicas cerradas
UNAM Cuernavaca, Mexiko, April 2018: Orbidades con todas las geodésicas cerradas
Research Seminar ''Prospectos en Topología'', UNAM Morelia, Michoacán, Mexiko, March 2018: Sobre grupos de Lie nilpotentes y casi-isometricos
Research Seminar ''Prospectos en Topología'', UNAM Morelia, Michoacán, Mexiko, March 2018: Orbidades con todas las geodésicas cerradas
DMV Jahrestagung, Sektion Topologie, Paderborn, March 2018: Orbifolds with all geodesics closed
Mathematics and Statistics Colloquium, Maynooth, Ireland, February 2018: Orbifolds with all geodesics closed
Geometry and Toplogy Seminar, Poznan, January 2018: Orbifolds with all geodesics closed
Oberseminar Geometrie und Topologie, Universität Fribourg, December 2017: Orbifolds with all geodesics closed
Universität Regensburg, December 2017: Krümmung? Positiv!
Bavarian Geometry and Topology Meeting, Augsburg, December 2017: Orbifolds with all geodesics closed
Kolloquium Augsburg, Umhabilitation, November 2017: Aspekte Riemannscher Topologie – Krümmung, Holonomie, Symmetrie
Universität Chemnitz, June 2017: Krümmung? Positiv!
Mathematisches Kolloquium, Universität Augsburg, June 2017: A story of positive curvature and topology
Oberseminar Globale Analysis, Regensburg, June 2016: A story of positive curvature and topology
Forschungsseminar Mathematische Physik, Marburg, May 2016: Positive curvature in high and low dimensions
Hauptseminar Geometrie, Heidelberg, January 2016: Positive curvature in high and low dimensions
Chinese-German Workshop on Metric Riemannian Geometry, Shanghai, October 2015: On the Hopf conjectures
Jahrestagung der DMV, Saarbrücken, Sektionsvortrag, September 2015: Geometrically formal homogeneous metrics of positive curvature
Modern Tools in Riemannian Geometry II, UNAM Mexico City, lecture series, September 2015: The topology and geometry of torus actions
Bielefeld Geometry and Topology days, July 2015: Positive Curvature and Topology
Differentialgeometrie im Großen, Oberwolfach, July 2015: On the Hopf conjectures
Antrittsvorlesung, Karlsruhe, June 2015: Komplexe Topologie
Mathematisches Kolloquium, LMU München, June 2015: Positive Curvature and Topology
Wichita State University, Kolloquium, March 2015: Positive Curvature and Topology
University of California, Santa Barbara, Topology Seminar, March 2015: Complex topology
University of Freiburg, Januar 2015: Positive Krümmung
Oberseminar Differentialgeometrie, Augsburg, December 2014: Positive curvature and topology
Universidad Autónoma de Madrid, Spanien, November 2014: Positive curvature and topology
Applied Algebraic Topology, Castro Urdiales, Spain, July 2014: Computational complexity of topological invariants
Forschungsseminar Differentialgeometrie, Hamburg, June 2014: Positive curvature and topology
Oberseminar Topologie, Münster, April 2014: Positive curvature, rational ellipticity and symmetry
Heidelberg-Karlsruhe-Strasbourg Geometry Day, Heidelberg, January 2014: Topological properties of positively curved manifolds with symmetry
Mini-Workshop: Quaternion Kähler Structures in Riemannian and Algebraic Geometry, Oberwolfach, November 2013, Formality of Positive Quaternion Kähler Manifolds
Curvature and Global Shape, Münster, July 2013: Topological properties of positively curved manifolds with symmetry
AG Seminar Topologie, Karlsruhe, June 2013: Zur Topologie von positiv gekrümmten Mannigfaltigkeiten mit Symmetrien
Topology Seminar, Bonn, June 2013: Topological properties of positively curved manifolds with symmetry
Oberseminar Differentialgeometrie, Münster, April 2013: Topological properties of positively curved manifolds with symmetry
Oberseminar Geometrie und Topologie, Stuttgart, January 2013: On the Betti numbers of positively curved manifolds with symmetry
Oberseminar Geometrie und Analysis, LMU München, December 2012: Cohomological consequences of (almost) free torus actions
DMV-Jahrestagung, Sektion Geometrie und Topologie, Saarbrücken, September 2012: Special holonomy, rational formality and fibrations
IMPA, Rio de Janeiro, June 2012: Special holonomy, rational formality and fibrations
Geometry and Topolgy Conference, Lehigh University, May 2012: Cohomological consequences of (almost) free torus actions
Deformation Theory Seminar, University of Philadelphia, March 2012: Mapping degrees of self-maps of simply-connected manifolds
Geometry and Topology Seminar, University of Philadelphia, February 2012: Special holonomy, rational formality and fibrations
Geometry and Topology Seminar, McMaster University, Hamilton, September 2011: Mapping degrees of self-maps of simply-connected manifolds
Geometry and Topology Seminar, Toronto, September 2011: Mapping degrees of self-maps of simply-connected manifolds
Oberseminar Geometrie und Topologie, Stuttgart, May 2011: Nicht-formale homogene Räume
Geometry and Topology Day, Utrecht, May 2011: Non-formal homogeneous spaces
Oberseminar Differentialgeometrie, Bonn, April 2011: Non-formal homogeneous spaces
Oberseminar Globale Analysis, Regensburg, January 2011: Rational formality and special holonomy
Oberseminar Geometrie und Topologie, Augsburg, January 2011: Rationale Formalität und spezielle Holonomie
Geometry and Topology Seminar, Toronto, November 2010: Rational formality and special holonomy
Curvature and Global Shape, Münster, July 2009: Formality of Positive Quaternion Kähler Manifolds
Oberseminar Differentialgeometrie, Münster, July 2008: Gaining symmetry on 20-dimensional Positive Quaternion Kähler Manifolds
Symmetries in Geometry and Topology, Fribourg, July 2008: An "all-round" view to Positive Quaternion Kähler Manifolds
Oberseminar Geometrie, Topologie und Analysis, Köln, June 2008: Gaining symmetry on 20-dimensional Positive Quaternion Kähler Manifolds
Oberseminar Geometrie und Topologie, Fribourg, May 2008: Gaining symmetry on 20-dimensional Positive Quaternion Kähler Manifolds
Graduate Colloquium, ETH Zürich, December 2007: What is ... Quaternion Kähler Geometry?
Oberseminar Geometrie und Topologie, Fribourg, May 2007: Low-dimensional Positive Quaternion Kähler Manifolds and Rational Homotopy Theory
Oberseminar Differentialgeometrie, Münster, December 2006: Low-dimensional Positive Quaternion Kähler Manifolds and Rational Homotopy Theory
Topological Problems in Geometry, Münster, October 2006: Formality of low-dimensional Positive Quaternion Kähler Manifolds
kleines Seminar, Münster, April 2006: All the way to Positive Quaternion Kähler Manifolds
Oberseminar Differentialgeometrie, Münster, January 2005: The homology of the double mapping cylinder
Séminaire Topologie et Géométrie, Louvain la Neuve, December 2003: Isoparametric Hypersurfaces and Rational Homotopy

Teaching

Universität Augsburg:

Summer term 2022
- Seminar "Topologische Datenanalyse"
Winter term 2021
- Online-Seminar "Rational Homotopy Theory" setting foundations for MAMII
Summer term 2021
- Seminar "Rationale Homotopietheorie"
Summer term 2020
Seminar ’’Metric Geometry“
Summer term 2019
Riemannsche Geometrie
Winter term 2018
Seminar "Rational Homotopy Theory"