Andreas Ott
DFG research fellow in the Differential Geometry Group at Heidelberg University

Research

My research is in geometry and topology. I am currently working on bounded cohomology, simplicial volume and polylogarithms, moduli spaces of Higgs bundles and representation varieties, harmonic maps and pleated surfaces, and gauged Gromov-Witten theory.
I am a member of the DFG Priority Program Geometry at Infinity, with the project Invariants and boundaries of spaces.

Publications and preprints

(with J. Swoboda, R. Wentworth and M. Wolf) Higgs bundles, harmonic maps, and pleated surfaces. (in preparation)
(with M. Bucher and A. Potschka) Simplicial volume and the trilogarithm function. (in preparation)
Transgression in bounded cohomology and a conjecture of Monod. arXiv:1811.07558.
(with T. Hartnick) Milnor-Wood type inequalities for Higgs bundles. arXiv:1105.4323.
(with T. Hartnick) Perturbations of the Spence-Abel equation and deformations of the dilogarithm function. Math. Ann. 368(3), 1399-1428, 2017.
(with T. Hartnick) Bounded cohomology via partial differential equations, I. 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.
(with T. Hartnick) Surjectivity of the comparison map in bounded cohomology for Hermitian Lie groups. Int. Math. Res. Notices, No. 9, 2068-2093, 2012.
The non-local symplectic vortex equations and gauged Gromov-Witten invariants. (doctoral thesis)
On Fano threefolds with b2 ≥ 2. (diploma thesis)

Activities

Bounded Cohomology Workshop at Mathematikon Heidelberg, Jul 29 - Aug 2, 2019
Structures & Mathematics Interdisciplinary Seminar Series
Higgs Bundles in Geometry and Physics Workshop at IWH Heidelberg, Feb 29 - Mar 3, 2016

Teaching

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

Room 03.329 ∙ Mathematical Institute ∙ Heidelberg University
Im Neuenheimer Feld 205 ∙ 69120 Heidelberg ∙ Germany
Email: aott@mathi.uni-heidelberg.de
Phone: (+49) (0)6221 54 14220
Fax: (+49) (0)6221 54 14245
Office hours by appointment by email


Last modified on Feb 14, 2019