My main research interest is fractal geometry and the various fields of math related to fractals such as complex dynamics, geometric measure theory, conformal and quasiconformal geometry, and analysis in metric spaces.
Fribourg MAPS is a workshop in geometric analysis co-organised with
Katrin Fässler (University of Jyväskylä).
The emphasis of the workshop is on analysis in metric spaces, conformal and quasiconformal maps, geometric group theory, and connections between these areas.
Quasiworld seminar
A monthly online seminar co-organized with Mario Bonk, Sylvester Eriksson-Bique, and Mikhail Hlushchanka.
You can find our website and schedule here: Quasiworld Seminar
Quasiworld Workshop 2023
A conference in the honor of Mario Bonk's 60th birthday taking place at the University of Helsinki, 14.-18. August 2023.
You can find our website here: Quasiworld Workshop 2023
Junge MathematikerInnen in Geometrie und Analysis (Workshop)
in Freiburg-im-Breisgau, Germany
June 15 - 16, 2023
Publications and Preprints
Projection theorems for linear-fractional families of projections (with A. Lukyanenko)
Submitted.
[arXiv preprint]
An uncountable ergodic Roth theorem and applications (with P. Durcik, R. Greenfeld, A. Jamneshan, J. Madrid)
To appear in Discrete and Continuous Dynamical Systems.
[published version][arXiv preprint]
Eliminating Thurston obstructions and controlling dynamics on curves (with M. Bonk, M. Hlushchanka)
Submitted.
[arXiv preprint]
Marstrand-type projection theorems for linear projections and in normed spaces Submitted.
[arXiv preprint]
Marstrand type projection theorems for normed spaces (with Z. Balogh)
Journal of Fractal Geometry, Vol. 6, no.4, 2019, 367--392.
[published version][arXiv preprint]
Projection theorems in hyperbolic space (with Z. Balogh)
Archiv der Mathematik, Vol. 112, no.3, 2019, 329-336.
[published version][arXiv preprint]
Iterated function system quasiarcs (with K. Wildrick)
Conformal Geometry and Dynamics, Vol. 21, 2016, 78--100.
[published version][arXiv preprint]
Dimensions of projections of sets on Riemannian surfaces of constant curvature (with Z. Balogh)
Proceedings of the AMS, Vol. 144, no.7, 2016, 2939-2951.
[published version][arXiv preprint]
Thesis
Dimension and projections in normed spaces and Riemannian manifolds[UniBe Library] April 2018, University of Bern, Switzerland.