I am a postdoctoral researcher in mathematics at
Ecole polytechnique in France. I'm broadly interested in dynamical systems, analysis, and geometry. My focus during grad school has been in complex and nonarchimedean dynamics. The bulk of my research so far has been on equidistribution problems in higher dimensional nonarchimedean dynamical systems. See below for a list of my papers and preprints.
Papers and Preprints
- On the growth of local intersection multiplicities in holomorphic dynamics: a conjecture of Arnold
- To appear in Mathematical Research Letters. arXiv:1212.5272
- Growth of attraction rates for iterates of a superattracting germ in dimension two
- with Matteo Ruggiero. To appear in the Indiana University Mathematics Journal. arXiv:1209.3450
- Equidistribution of preimages over nonarchimedean fields for maps of good reduction
- To appear in the Annales de l'Institut Fourier. arXiv:1208.5716
- Measures and dynamics on Noetherian spaces
- To appear in the Journal of Geometric Analysis. doi:10.1007/s12220-013-9394-9. arXiv:1202.0793