Otte Heinävaara

I've moved to Caltech for a postdoc. See my new website here.

I graduated from Princeton University, advised by Assaf Naor. I'm interested in (matrix) inequalities and what they tell us about geometry of Banach spaces. Currently I'm investigating tracial joint spectral measures, a theory I discovered recently.
email: oeh@math.princeton.edu
My cv and research statement.

Publications and preprints.

Matrix monotone functions. M.Sc. Thesis, University of Helsinki (2018). Thesis advisor: Eero Saksman University of Helsinki open repository, source
Local characterizations for the matrix monotonicity and convexity of fixed order (2018). Proc. Amer. Math. Soc.146(2018), no.9, 3791-3799 arXiv
Characterizing matrix monotonicity of fixed order on general sets (2019). preprint. arXiv
Planes in Schatten-3 (2022). preprint. arXiv
A random line intersects \(\mathbb{S}^{2}\) in two probabilistically independent locations (2023). (with D. Bilyk, A. Chang, R. W. Matzke and S. Steinerberger) preprint arXiv
Tracial joint spectral measures (2023). preprint. arXiv
Properties of tracial joint spectral measures. in preparation

Illustration of a tracial joint spectral measure. See also a parametrizable visualization by me, shikhin and zgrep.
lobster

Slides and such.