Andreas Ott

Research interests

Geometry and topology

• bounded cohomology and simplicial volume
• Higgs bundle moduli spaces and representation varieties
• harmonic maps and their high energy degeneration
• geometry of special functions (polylogarithms, hypergeometric functions)
• gauged Gromov-Witten theory

I am a member of the DFG Priority Program Geometry at Infinity.

Publications and preprints

• Simplicial volume and polylogarithms (in preparation) (with Michelle Bucher and Andreas Potschka)
• Higgs bundles, harmonic maps, and pleated surfaces (with Jan Swoboda, Richard Wentworth and Michael Wolf)
  arXiv:2004.06071
• Bounded cohomology, Higgs bundles, and Milnor-Wood inequalities (with Tobias Hartnick)
  arXiv:1105.4323
• Transgression in bounded cohomology and a conjecture of Monod
  Journal of Topology and Analysis, doi 10.1142/S1793525320500399
• Perturbations of the Spence-Abel equation and deformations of the dilogarithm function (with Tobias Hartnick)
  Mathematische Annalen 368(3), 1399-1428, 2017.
• Bounded cohomology via partial differential equations, I (with Tobias Hartnick)
  Geometry & Topology 19-6, 3603-3643, 2015.
• Removal of singularities and Gromov compactness for symplectic vortices
  Journal of Symplectic Geometry, Vol. 12, No. 2, 1-55, 2014.
• Surjectivity of the comparison map in bounded cohomology for Hermitian Lie groups (with Tobias Hartnick)
  International Mathematics Research Notices, No. 9, 2068-2093, 2012.
• The non-local symplectic vortex equations and gauged Gromov-Witten invariants
• On Fano threefolds with b₂ ≥ 2

Activities

• Bounded Cohomology Workshop
• STRUCTURES Cluster of Excellence
• Asymptotic Invariants and Limits of Groups and Spaces Research Training Group
• Structures & Mathematics Interdisciplinary Seminar Series
• Higgs Bundles in Geometry and Physics Workshop

Teaching

• Topological Data Analysis (KIT), Fall 2020
• Geometric Methods in Data Analysis, Spring 2019
• Heidelberg Geometry Seminar, 2018-19
• Seminar Geometry and Mathematical Physics, Fall 2017
• Einführung in die Geometrie, Spring 2016
• Heidelberg Junior Geometry Seminar, 2015-16
• Symplectic Topology (Part III, Cambridge Univ.), Lent 2014