Priv.-Doz. Dr. Manuel Amann
Heisenberg-Programm der DFG (ehem.)
Differentialgeometrie
| Telefon: | +49 821 598 - 2246 |
| Fax: | +49 821 598 - 2241 |
| E-Mail: | manuel.amann@math.uni-augsburgmath.uni-augsburg.de () |
| Sprechzeiten: | nach Vereinbarung |
| Adresse: | Universit?tsstra?e 14, 86159 Augsburg |
Research interests
Algebraic and Differential Topology, Riemannian Geometry.
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I am a member of the DFG Priority Programme 2026 ’’Geometry at Infinity’’.
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Former Students and PostDocs
Publications
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Title |
Published in/on |
Year |
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| 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 |
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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 |
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Manuel Amann, Andreas Kollross |
Equivariant formality of the isotropy action on Z_2+Z_2-symmetric spaces |
2020 |
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Manuel Amann |
Homology versus homotopy in fibrations and in limits |
Rev. Mat. Iberoam.?38,?no. 3,?857–882. |
2022 |
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Manuel Amann, Leopold Zoller |
The toral rank conjecture and variants of equivariant formality |
2019 |
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Manuel Amann, ?David González-?lvaro, Marcus Zibrowius. |
Vector bundles of non-negative curvature over cohomogeneity one manifolds |
Adv. Math.?405,?Paper No. 108477, 51 pp. |
2022 |
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Manuel Amann, Masoumeh Zarei |
On the equivariant cohomology of cohomogeneity one Alexandrov spaces |
2019 |
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Manuel Amann, Lee Kennard |
Positive curvature and torus symmetry in small dimensions |
Commun. Contemp. Math.?22,?no. 6,?1950053, 57 pp. |
2020 |
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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 |
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Manuel Amann? |
A note on the Hilali conjecture |
2017 |
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Manuel Amann, Lee Kennard |
On a generalized conjecture of Hopf with symmetry |
2017 |
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Manuel Amann |
On quasi-isometric nilpotent Lie groups |
arxiv.org/abs/1710.04542 |
2017 |
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Manuel Amann, Wolfgang Ziller |
Geometrically formal homogeneous metrics of positive curvature |
2016 |
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Manuel Amann, Lee Kennard |
Positive curvature and rational ellipticity |
2015 |
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Manuel Amann |
Degrees of self-maps of simply-connected manifolds |
Int. Math. Res. Not., IMRN, (18):8545-8589 |
2015 |
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Manuel Amann |
Computational complexity of topological invariants |
2015 |
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Manuel Amann |
Deciding almost freeness of an action is NP-hard |
2015 |
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Manuel Amann, Lee Kennard |
Topological properties of positively curved manifolds with symmetry |
2014 |
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Manuel Amann |
Special Holonomy on Special Spaces |
2014 |
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Manuel Amann |
Non-formal homogeneous spaces |
2013 |
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Manuel Amann, Vitali Kapovitch? |
On fibrations with formal elliptic fibers |
2012 |
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Manuel Amann |
Partial classification results for Positive Quaternion K?hler Manifolds |
2012 |
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Manuel Amann |
Cohomological consequences of (almost) free torus actions |
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2012 |
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Manuel Amann |
Positive Quaternion Kaehler Manifolds with fourth Betti number equal to one |
2011 |
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Manuel Amann, Anand Dessai |
The ?-genus of S1-manifolds with finite second homotopy group |
2010 |
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Manuel Amann |
Modelling Geometry in Algebra – Curvature, Holonomy, Actions |
Kumulative Habilitationsschrift, KIT |
2015 |
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Manuel Amann |
Positive Quaternion K?hler Manifolds |
Doktorarbeit, Universit?tsbibliothek WWU Münster |
2009 |
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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, Universit?t 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, Universit?t 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, Universit?t 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 Geod?tischen
- 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, Universit?t Fribourg, December 2017:?Orbifolds with all geodesics closed
- Universit?t 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
- Universit?t Chemnitz, June 2017:?Krümmung? Positiv!
- Mathematisches Kolloquium, Universit?t 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 Gro?en, 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 伟德国际_伟德国际1946$娱乐app游戏, Kolloquium, March 2015:?Positive Curvature and Topology
- 伟德国际_伟德国际1946$娱乐app游戏 of California, Santa Barbara, Topology Seminar, March 2015:?Complex topology
- 伟德国际_伟德国际1946$娱乐app游戏 of Freiburg, Januar 2015: Positive Krümmung
- Oberseminar Differentialgeometrie, Augsburg, December 2014: Positive curvature and topology
- Universidad Autónoma de Madrid, Spanien, November 2014: Positive curvature and topology
- Applied Algebraic Topology, Castro Urdiales, Spain, July 2014: Computational complexity of topological invariants
- Forschungsseminar Differentialgeometrie, Hamburg, June 2014: Positive curvature and topology
- Oberseminar Topologie, Münster, April 2014: Positive curvature, rational ellipticity and symmetry
- Heidelberg-Karlsruhe-Strasbourg Geometry Day, Heidelberg, January 2014: Topological properties of positively curved manifolds with symmetry
- Mini-Workshop: Quaternion K?hler Structures in Riemannian and Algebraic Geometry, Oberwolfach, November 2013, Formality of Positive Quaternion K?hler Manifolds
- Curvature and Global Shape, Münster, July 2013: Topological properties of positively curved manifolds with symmetry
- AG Seminar Topologie, Karlsruhe, June 2013: Zur Topologie von positiv gekrümmten Mannigfaltigkeiten mit Symmetrien
- Topology Seminar, Bonn, June 2013: Topological properties of positively curved manifolds with symmetry
- Oberseminar Differentialgeometrie, Münster, April 2013: Topological properties of positively curved manifolds with symmetry
- Oberseminar Geometrie und Topologie, Stuttgart, January 2013: On the Betti numbers of positively curved manifolds with symmetry
- Oberseminar Geometrie und Analysis, LMU München, December 2012: Cohomological consequences of (almost) free torus actions
- DMV-Jahrestagung, Sektion Geometrie und Topologie, Saarbrücken, September 2012: Special holonomy, rational formality and fibrations
- IMPA, Rio de Janeiro, June 2012: Special holonomy, rational formality and fibrations
- Geometry and Topolgy Conference, Lehigh 伟德国际_伟德国际1946$娱乐app游戏, May 2012: Cohomological consequences of (almost) free torus actions
- Deformation Theory Seminar, 伟德国际_伟德国际1946$娱乐app游戏 of Philadelphia, March 2012: Mapping degrees of self-maps of simply-connected manifolds
- Geometry and Topology Seminar, 伟德国际_伟德国际1946$娱乐app游戏 of Philadelphia, February 2012: Special holonomy, rational formality and fibrations
- Geometry and Topology Seminar, McMaster 伟德国际_伟德国际1946$娱乐app游戏, 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 R?ume
- 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 Formalit?t 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 K?hler Manifolds
- Oberseminar Differentialgeometrie, Münster, July 2008: Gaining symmetry on 20-dimensional Positive Quaternion K?hler Manifolds
- Symmetries in Geometry and Topology, Fribourg, July 2008: An "all-round" view to Positive Quaternion K?hler Manifolds
- Oberseminar Geometrie, Topologie und Analysis, K?ln, June 2008: Gaining symmetry on 20-dimensional Positive Quaternion K?hler Manifolds
- Oberseminar Geometrie und Topologie, Fribourg, May 2008: Gaining symmetry on 20-dimensional Positive Quaternion K?hler Manifolds
- Graduate Colloquium, ETH Zürich, December 2007: What is ... Quaternion K?hler Geometry?
- Oberseminar Geometrie und Topologie, Fribourg, May 2007: Low-dimensional Positive Quaternion K?hler Manifolds and Rational Homotopy Theory
- Oberseminar Differentialgeometrie, Münster, December 2006: Low-dimensional Positive Quaternion K?hler Manifolds and Rational Homotopy Theory
- Topological Problems in Geometry, Münster, October 2006: Formality of low-dimensional Positive Quaternion K?hler Manifolds
- kleines Seminar, Münster, April 2006: All the way to Positive Quaternion K?hler 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
Universit?t 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"
KIT Karlsruhe:
- Summer term?2017
- Rational Homotopy Theory
- ?bungen zu Rational Homotopy Theory
Universit?t Bonn:
- Winter term 2016
- Advanced Geometry I
- Tutorials Advanced Geometry I
- Seminar on Differential Geometry?–?Lie groups and their representations
- Oberseminar Differentialgeometrie
- Summer term 2016
- Geometrie I
- Tutorial Geometrie I
- K?hler Geometry
- Oberseminar Differentialgeometrie
KIT Karlsruhe:
- Winter term 2015
- ?bungen zu "Algebraic Topology II"
- Summer term 2015
- Seminar "Differentialtopologie"
- AG-Seminar Topologie
- Summer term 2014
- Vorlesung "Knotentheorie"
- ?bungen zu "Knotentheorie"
- AG-Seminar Topologie
- Winter term 2013
- Vorlesung "Rationale Homotopietheorie"
- ?bungen zu "Rationale Homotopietheorie"
- ?bungen zu "Lineare Algebra und Analytische Geometrie I"
- AG-Seminar Topologie
- Summer term 2013
- Seminar zur K-Theorie
- AG-Seminar Topologie
- Winter term 2012
- Proseminar Eulers Trickkiste
- AG-Seminar Topologie
伟德国际_伟德国际1946$娱乐app游戏 of Toronto:
- Fall term 2011
- Course ''Topics in Algebraic Topology: Rational Homotopy Theory''
WWU Münster:
- Summer term 2010
- Seminar zur Differentialgeometrie
- Summer term 2008
- ?bungen zur Analysis II
- Winter term 2007/2008
- ?bungen zur Analysis I
- Summer term 2007
- ?bungen zur Differentialgeometrie II
- Winter term 2006/2007
- ?bungen zur Differentialgeometrie I
- Seminar "Geometrie"
- Winter term 2005/2006
- Seminar zur Homotopietheorie
- Summer term 2005
- ?bungen zur Differentialtopologie II (Introduction to Algebraic Topology)
Stays
UNAM, Mexiko (Cuernavaca, Mexico Stadt, Morelia)
伟德国际_伟德国际1946$娱乐app游戏 of Philadelphia, Pennsylvania
Max-Planck-Institut für Mathematik, Bonn
Department of Mathematics, 伟德国际_伟德国际1946$娱乐app游戏 of Toronto
Département de mathématiques de l`Université de Fribourg
Mathematisches Institut der Westf?lischen Wilhelms-Universit?t Münster
Departamento de Matemáticas de la Universidad de Salamanca
Mathematische Fakult?t der Bayerischen Julius-Maximilians-Universit?t Würzburg
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Organised Events
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- Co-organisation MAMII "The Toral Rank Conjecture"
- Konferenz “Bavarian Geometry and Topology Meeting VI”, Augsburg, December 5th to 6th, 2019
- Minisymposium "Topology and geometry of Lie group actions" within the DMV Jahrestagung, Hamburg, September 21st to 25th, 2015
- Karlsruhe-Stuttgart Seminar on "Formalit?t“, Hohenwart-Forum Pforzheim, June 3rd to 6th, 2015
- Karlsruhe-Stuttgart Seminar on "Darstellungstheorie und Geometrie", Fabri Institut Blaubeuren, February 17th to 19th, 2014
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