Institute of Geometry

Oliver Ebner Institute of Geometry, TU Graz Kopernikusgasse 24 A 8010 Graz Phone: (+43) 316 873 8446 Email: o.ebner AT tugraz.at Consulting hours: Tuesday 15:00 - 16:00

Publications

Harmonic cohomology of symplectic fiber bundles (with S. Haller), Proc. Amer. Math. Soc. 139 (2011), 2927-2931, [arxiv:1004.2218]. Convergence of refinement schemes on metric spaces, Proc. Amer. Math. Soc., to appear. Nonlinear Markov semigroups and refinement schemes on metric spaces, Geometry Preprint 2011/3, [arxiv:1112.6003].

Awards

"Studienpreis" of the Austrian Mathematical Society for my Diploma Thesis.

Thesis

Harmonic cohomology on Poisson manifolds, Diploma thesis, University of Graz, 2009.

Conference talks

Harmonic cohomology of symplectic fiber bundles, The 31st Winter School on Geometry and Physics, Srni, Czech Republic, January 2011. Convergence of iterative schemes on metric spaces, CMA workshop on New Trends in Applied Geometry, Hurdalsjoen, Norway, February 2011. Convergence of refinement schemes on metric spaces: Linear equivalence, Workshop on Subdivision and Refinability, Pontignano, Italy, September 2011. Nonlinear Markov semigroups and refinement schemes on metric spaces, Winter School on "New Trends in Stochastic and Geometric Analysis" , Regen, Germany, February 2012.

Teaching

List of courses 2011/2012

Past teaching

Lie Groups, lectures, winter term 2010. Differential Forms, lectures & exercises, spring term 2011. Differential Geometry, exercises, spring term 2010. Freeform Geometry, exercises, winter term 2010.