Research

My primary research interest is in fractal geometry, in particular in parametrizability and regularity of attractors of iterated function systems and related sets, as well as Hölder geometry and Hölder rectifiability. I am further interested in questions about tangent geometry and Lipschitz curves and surfaces.

Pseudotangents to Lipschitz curves [arxiv]

Holder curves with exotic tangent spaces [arxiv][journal] (with V. Vellis). J. London Math. Soc., 112 (2025), no. 4.

Parametrizability of infinitely generated attractors [arxiv][journal] (with V. Vellis). Ann. Fenn. Math., 49 (2024) no.1 81-97.