Kai Toyosawa

Postdoctoral researcher · University of Münster

I am a postdoctoral researcher at the University of Münster, working with David Kerr. I received my Ph.D. in Mathematics from Vanderbilt University in May 2025, advised by Jesse Peterson.

My research interests are operator algebras, geometric group theory, and ergodic theory.

Publications & preprints

  1. A paradoxical route from hyperbolic geometry to proper proximality

    D. Osin, K. Toyosawa, and Z. Yang

    Preprint · 2026
    arXiv:2609.21896

  2. Properly proximal countable measured groupoids

    A. Fernández Quero and K. Toyosawa

    Preprint · 2026
    arXiv:2609.01253

  3. Relative Biexactness for Relative Hyperbolic Groups and Some Applications

    I. Chifan, K. Toyosawa, and Z. Yang

    Preprint · 2026
    arXiv:2608.23991

  4. On relative biexactness of amalgamated free product von Neumann algebras

    K. Toyosawa and Z. Yang

    To appear in Advances in Mathematics
    arXiv:2505.19508

  5. Weak exactness and amalgamated free product of von Neumann algebras

    K. Toyosawa

    Journal of Functional Analysis 288, no. 4, 110759 · 2025
    arXiv:2403.12833Journal

Contact

Email

ktoyosaw[at]uni-muenster.de

Office

Mathematik Münster
Universität Münster
Einsteinstr. 62
48149 Münster, Germany