Annina Iseli

Department of Mathematics
University of California, Los Angeles (UCLA)

Office: MS 6105

Mailing address:
UCLA Mathematics Department
Box 951555
Los Angeles, CA 90095-1555

annina.iseli[at]math.ucla.edu



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. (arXiv)

4.   Marstrand type projection theorems for normed spaces (with Z. M. Balogh). Preprint. To appear in Journal of Fractal Geometry. (journal / arXiv)

3.   Projection theorems in hyperbolic space (with Z. M. Balogh). Arch. Math., 112:329, 2019. (journal / arXiv)

2.   Iterated function system quasiarcs (with K. Wildrick). Conform. Geom. Dyn., 21:78–100, 2017. (journal / arXiv.)

1.   Dimensions of projections of sets on Riemannian surfaces of constant curvature (with Z. M. Balogh). Proc. Amer. Math. Soc., 144(7),
    2939–2951, 2016. (journal / arXiv)


Conferences 2019

Analysis and Geometry on Metric Spaces and Fractals (AMS Sectional Meeting) , September 14-15, University of Wisconsin, Madison.

Modern Aspects of Complex Analysis and Its Applications , August 19-23, University of Washington, Seattle.

Swiss Knots 2019 , July 16-19, ETH Zurich, Switzerland.

Geometric Analysis on Riemannian and Singular Metric Measure Spaces , July 1-5, Lake Como School of Advanced Studies, Como, Italy.

Analysis, Geometry, and PDEs in Non-smooth Metric Spaces (AMS Sectional Meeting), April 13-14, University of Connecticut Hartford, Hartford, CT

Topics at the Interface of Analysis and Geometry (AMS Sectional Meeting), March 22-24, University of Hawai'i, Manoa, Honolulu, HI.


PhD Thesis

Dimension and projections in normed spaces and Riemannian manifolds, April 2018,

supervised by Prof. Dr. Zoltán Balogh, Mathematical Institute, University of Bern, Bern, Switzerland