Priv.-Doz. Dr. Manuel Amann

Heisenberg-Programm der DFG
Differentialgeometrie
Telefon: +49 821 598 - 2246
Fax: +49 821 598 - 2241
E-Mail:
Raum: 3041c (L1)
Sprechzeiten: nach Vereinbarung
Adresse: Universitätsstraße 14, 86159 Augsburg

Research interests

Algebraic and Differential Topology, Riemannian Geometry.

 

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

 

Current Students and PostDocs

Publications

 

Author(s)

Title

Published in/on

Year

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

arXiv:2006.03390

2020

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

arXiv:1910.05248

2019

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

arxiv:1512.01302, to appear in Communications in Contemporary Mathematics, DOI: 10.1142/S0219199719500536

2019

 

 

 

 

Manuel Amann, Christian Lange, Marco Radeschi

Odd-dimensional orbifolds with all geodesics closed are are covered by manifolds

arxiv:1811.10320

2018

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. 68Q17 (55M30 55P62)

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 ''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 2020
  • Seminar ’’Metric Geometry“
  • Summer term 2019
  • Riemannsche Geometrie
  • Winter term 2018
  • Seminar "Rational Homotopy Theory"

KIT Karlsruhe:

  • Summer term 2017
  • Rational Homotopy Theory
  • Übungen zu Rational Homotopy Theory

Universität 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
  • Kähler Geometry
  • Oberseminar Differentialgeometrie

KIT Karlsruhe:

  • Winter term 2015
  • Übungen zu "Algebraic Topology II"
  • Summer term 2015
  • Seminar "Differentialtopologie"
  • AG-Seminar Topologie
  • Summer term 2014
  • Vorlesung "Knotentheorie"
  • Übungen zu "Knotentheorie"
  • AG-Seminar Topologie
  • Winter term 2013
  • Vorlesung "Rationale Homotopietheorie"
  • Übungen zu "Rationale Homotopietheorie"
  • Übungen 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

University of Toronto:

  • Fall term 2011
  • Course ''Topics in Algebraic Topology: Rational Homotopy Theory''

WWU Münster:

  • Summer term 2010
  • Seminar zur Differentialgeometrie
  • Summer term 2008
  • Übungen zur Analysis II
  • Winter term 2007/2008
  • Übungen zur Analysis I
  • Summer term 2007
  • Übungen zur Differentialgeometrie II
  • Winter term 2006/2007
  • Übungen zur Differentialgeometrie I
  • Seminar "Geometrie"
  • Winter term 2005/2006
  • Seminar zur Homotopietheorie
  • Summer term 2005
  • Übungen zur Differentialtopologie II (Introduction to Algebraic Topology)

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