Otte Heinävaara

 The Division of Physics, Mathematics and Astronomy (PMA)
California Institute of Technology

I am a Scott Russell Johnson Postdoctoral Scholar Teaching Fellow in Mathematics at Caltech. 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@caltech.edu
My cv and research statement.

Publications and preprints.

  1. Tracial joint spectral measures. PhD Thesis (2024). Thesis advisor: Assaf Naor pdf
  2. Matrix monotone functions. M.Sc. Thesis, University of Helsinki (2018). Thesis advisor: Eero Saksman University of Helsinki open repository, source
  3. Local characterizations for the matrix monotonicity and convexity of fixed order (2018). Proc. Amer. Math. Soc.146(9), 3791-3799 arXiv
  4. Characterizing matrix monotonicity of fixed order on general sets (2019). preprint. arXiv
  5. Planes in Schatten-3 (2024). J. Funct. Anal., 287(2) 110469. arXiv
  6. A random line intersects \(\mathbb{S}^{2}\) in two probabilistically independent locations (2025). (with D. Bilyk, A. Chang, R. W. Matzke and S. Steinerberger) J. Geom. Anal.35(9), 263 arXiv
  7. Tracial joint spectral measures (2023). Invent. Math. 239(2), 505-526 arXiv
  8. 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.

  1. Tracial joint spectral measures: slides (March 2024), slides (May 2024)
  2. Thesis defense (final public oral exam) (May 2024): slides (slightly updated)