Annina IseliDepartment of Mathematics
University of California, Los Angeles (UCLA)
Office: MS 6105
UCLA Mathematics Department
Los Angeles, CA 90095-1555
I am a postdoctoral researcher at the UCLA Department of Mathematics working with Mario Bonk.
I'm intersted in various questions in fractal geometry, dynamics, quasi-conformal and conformal geometry, metric analysis and geometry, and geometric measure theory.
My current main research project is concerned with the interplay between fractal geometry and dynamics. In particular, I study postcritically finite branched coverings of the two-sphere (Thurston maps) whose dynamics induce (potentially fractal) metrics on the sphere. A preprint about Thurston obstructions and global curve attractor conjecture for Thurston maps with four postcritical points (joint with M. Bonk and M. Hlushchanka) will be available here shortly.
This project is supported by an Early Postdoc Mobility Fellowship of the Swiss National Science Foundation.
You can find my CV here.
Papers and Preprints
5. Marstrand-type projection theorems for linear projections and in normed spaces. Preprint.
Analysis and Geometry on Metric Spaces and Fractals (AMS Sectional Meeting) , September 14-15, University
of Wisconsin, Madison.