Research

My primary research interests lie in Geometric Measure Theory, in particular in parametrizability and regularity of certain fractals, such as 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 of Lipschitz and Hölder curves and surfaces.

Pseudotangents to Lipschitz curves [arxiv][journal]. Real Anal. Exchange, 51 (2026) no. 1, 219-230.

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.