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Dr. habil. Manuel Amann


amann2

(DFG)

E-Mail: manuel.amann@math.uni-augsburg.de
Telefon: +49 821 598 - 2246
Fax: +49 821 598 - 2241
Raum: L1-3041c
Sprechzeiten: nach Vereinbarung
Hausanschrift: Universitätsstrasse 14
86159 Augsburg


I am currently a Heisenberg Scholar (DFG) at the University of Augsburg.


Research interests:

 

Algebraic and differential Topology, Riemannian Geometry, Rational Homotopy Theory, non-negative curvature, Positive Quaternion Kähler Geometry, Transformation groups

 

 


Publications:

author(s)titlepublished in/onyear

Manuel Amann

On quasi-isometric nilpotent Lie groups

arXiv:1710.04542

2017

Manuel Amann, Lee Kennard

Positive curvature and torus symmetry in small dimensions, I -- Dimensions 10, 12, 14, and 16

arxiv:1512.01302

2015

Manuel Amann

Deciding almost freeness of an action is NP-hard

arXiv:1508.04385 

2015

Manuel Amann 

A note on the Hilali conjecture

Forum Math. 29 (2017), no. 2, 251–257.

2017

Manuel Amann, Wolfgang Ziller

Geometrically formal homogeneous metrics of positive curvature

J. Geom. Anal., 26(2):996{1010, 2016

2016

Manuel Amann

Special Holonomy on Special Spaces

arXiv:1403.1442

2014

Manuel Amann, Lee Kennard

Positive curvature and rational ellipticity

Algebr. Geom. Topol., 15(4):2269{2301, 2015

2015

Manuel Amann, Lee Kennard

On a generalized conjecture of Hopf with symmetry

Compos. Math. 153 (2017), no. 2, 313–322.

2014

Manuel Amann, Lee Kennard

Topological properties of positively curved manifolds with symmetry

Geom. Funct. Anal., 24(5):1377-1405 2014

Manuel Amann

Cohomological consequences of (almost) free torus actions

arXiv:1204.6276 

2012

Manuel Amann

Computational complexity of topological invariants

Proc. Edinb. Math. Soc. (2) 58 (2015), no. 1, 2732. 68Q17 (55M30 55P62)

2015

Manuel Amann

Mapping degrees of self-maps of simply-connected manifolds

Int. Math. Res. Not., doi: 10.1093/imrn/rnu201

2014

Manuel Amann

Non-formal homogeneous spaces

Mathematische Zeitschrift, 274(3-4):1299-1325, 2013.

2012

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

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

Positive Quaternion Kähler Manifolds, Doctoral Thesis

Universitätsbibliothek WWU Münster

2009

Manuel Amann

The homology of a double mapping cylinder, Diplomarbeit

2005



Talks:

  • Konferenz GeToPhyMa, Universität Rabat, Marokko, July 2018: 3x1 hour minicourse, Curvature and Topology
  • Oberseminar Geometrie und Topologie, Universität Fribourg, December 2017: t.b.a.
  • Geometry and Toplogy Seminar, Poznan, December 2017: t.b.a.
  • Bavarian Geometry and Topology Meeting, Augsburg, December 2017: t.b.a.
  • 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:

  • 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:

 

 

University of Toronto:

 

 

WWU Münster:

 

 



Supervised Theses

  •  Hauke Henningsen, bachelor thesis, "Khovanov Homology in Knot Theory", Karlsruhe, 2015
  • Corvin Paul, bachelor thesis, "NP-hard computations with rational invariants", Karlsruhe, 2015
  • Marcus Pfeiffer, bachelor thesis, "Eine exotische Sphäre mit nicht-negativer Schnittkrümmung", Bonn, 2016