Andreas Ott

Research

My research is in geometry and topology. I am currently working on the following topics:

• bounded cohomology and simplicial volume
• moduli spaces of Higgs bundles and representation varieties
• harmonic maps into symmetric spaces and their degenerations
• 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

• Higgs bundles, harmonic maps, and pleated surfaces (in preparation) (with J. Swoboda, R. Wentworth and M. Wolf)
• Simplicial volume and the trilogarithm function (in preparation) (with M. Bucher and A. Potschka)
• Transgression in bounded cohomology and a conjecture of Monod arXiv:1811.07558.
• Milnor-Wood type inequalities for Higgs bundles (with T. Hartnick) arXiv:1105.4323.
• Perturbations of the Spence-Abel equation and deformations of the dilogarithm function (with T. Hartnick) Math. Ann. 368(3), 1399-1428, 2017.
• Bounded cohomology via partial differential equations, I (with T. Hartnick) Geom. Topol. 19-6, 3603-3643, 2015.
• Removal of singularities and Gromov compactness for symplectic vortices J. Sympl. Geom., Vol. 12, No. 2, 1-55, 2014.
• Surjectivity of the comparison map in bounded cohomology for Hermitian Lie groups (with T. Hartnick) Int. Math. Res. 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 at Mathematikon Heidelberg, 2019
• STRUCTURES Cluster of Excellence
• Structures & Mathematics Interdisciplinary Seminar Series, 2015-17
• Higgs Bundles in Geometry and Physics Workshop at IWH Heidelberg, 2016

Teaching

• Geometric methods in data analysis, Spring 2019
• Heidelberg Geometry Seminar
• Seminar Geometry and Mathematical Physics, Fall 2017
• Einführung in die Geometrie, Spring 2016
• Heidelberg Junior Geometry Seminar, 2015-16
• Symplectic Topology (Part III, Cambridge), Lent 2014

Contact

Mathematisches Institut • Mathematikon • Universität Heidelberg
Im Neuenheimer Feld 205 • 69120 Heidelberg • Germany
Email: aott@mathi.uni-heidelberg.de
Office: 03.329 (3rd floor)
Phone: (+49) (0)6221 54 14220
Fax: (+49) (0)6221 54 14245
Office hours: Wed 12:00 - 13:00 and by appointment by email