Hi there!

As of January 2024, I'm a postdoctoral researcher at the Department of Mathematics and Statistics, University of Jyväskylä, Finland.

My research is centered in fractal geometry and geometric measure theory. My current research interests include 

• Geometric and arithmetic properties of self-similar and self-affine sets and measures, such as

  • Dimension of orthogonal projections

  • Dimension of pairwise convolutions

  • Fourier decay

  • Existence of (affine/bi-Lipschitz/quasisymmetric) embeddings from one to another

     and to what extent these properties are determined by algebraic or arithmetic properties        of the defining contractions

• The local structure of dynamically defined measures (e.g. ergodic measures on self-similar/self-affine sets)

• And more recently, incidence estimates between points and lines/circles/other curves, and the dimension of Furstenberg-type sets.