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

Research interests

Geometry and topology. I am currently working on bounded cohomology, moduli spaces of Higgs bundles, representation varieties, polylogarithms, and gauged Gromov-Witten theory.

Publications

(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.

Preprints

(with T. Hartnick) Milnor-Wood type inequalities for Higgs bundles. (15 pages) arXiv:1105.4323.
(with F. Ziltener) Gauged Gromov-Witten invariants for monotone symplectic manifolds. (150 pages) In preparation.
(with T. Hartnick) Bounded cohomology via partial differential equations, II. (15 pages) In preparation.

Theses

Doctoral thesis: The non-local symplectic vortex equations and gauged Gromov-Witten invariants.
Diploma thesis: On Fano threefolds with b2 ≥ 2.

Activities

Geometry at Infinity DFG Priority Program
Structures & Mathematics Interdisciplinary Seminar Series
Higgs Bundles in Geometry and Physics Workshop at IWH Heidelberg, Feb 29 - Mar 3, 2016

Teaching

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 Oct 3, 2017