Otte Heinävaara

I am a fifth year graduate student at 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.

1. Matrix monotone functions. M.Sc. Thesis, University of Helsinki (2018). Thesis advisor: Eero Saksman University of Helsinki open repository, source
2. Local characterizations for the matrix monotonicity and convexity of fixed order (2018). Proc. Amer. Math. Soc.146(2018), no.9, 3791-3799 arXiv
3. Characterizing matrix monotonicity of fixed order on general sets (2019). preprint. arXiv
4. Planes in Schatten-3 (2022). preprint. arXiv
5. 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
6. Tracial joint spectral measures (2023). preprint. arXiv
7. Properties of tracial joint spectral measures. in preparation

Slides and such.

1. Tracial joint spectral measures (March 2024): slides