KIDA, Yoshikata

Title Associate Professor
Field Ergodic Group Theory
Reserch Interests
Ergodic Theory of Discrete Groups and Orbit Equivalence Relations
Current Research

Ergodic group theory is a field launched under recent development in studies of discrete countable groups, and its origin is traceable back to interaction between theories of unitary representations and von Neumann algebras. My research interests lie in group actions on measure spaces and their orbit equivalence relations with a focus on relationship to functional-analytic and geometric aspects of groups.

Selected Publications
  1. The mapping class group from the viewpoint of measure equivalence theory, Mem. Amer. Math. Soc. 196 (2008), no. 916.
  2. Measure equivalence rigidity of the mapping class group, Ann. of Math. (2) 171 (2010), 1851--1901.
  3. Rigidity of amalgamated free products in measure equivalence, J. Topol. 4 (2011), 687--735.
  4. Invariants of orbit equivalence relations and Baumslag-Solitar groups, Tohoku Math. J. (2) 66 (2014), 205--258.
  5. (with Saeko Yamagata) Automorphisms of the Torelli complex for the one-holed genus two surface, Tokyo J. Math. 37 (2014), 335--372.
  6. Stable actions and central extensions, Math. Ann. 369 (2017), 705--722.
  7. Ergodic group theory, Sugaku 70 (2018), 337--356 (in Japanese).
Memberships The Mathematical Society of Japan

The Inoue Research Award for Young Scientists (2008)

The Geometry Prize, the Mathematical Society of Japan (2009)

The Young Scientists' Prize of the Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology (2011)

The Operator Algebra Prize (Japan) (2016)

The Spring Prize, the Mathematical Society of Japan (2018)

The JSPS Prize, the Japan Society for the Promotion of Science (2019)