KATADA, Mai

Title
Assistant Professor
Field
Topology
Research interests
The stable (co)homology of the IA-automorphism groups of free groups, Actions of automorphism groups of free groups on spaces of Jacobi diagrams
Current research

I study the space of Jacobi diagrams, which is an object in knot theory, from the algebraic and categorical point of view. I am interested in algebraic structures of the stable (co)homology of (the Torelli subgroups of) the mapping class groups of surfaces, and their analogues, the (IA-)automorphism groups of free groups.
Selected publications
  1. Actions of automorphism groups of free groups on spaces of Jacobi diagrams. I, Université de Grenoble. Annales de l'Institut Fourier, Vol. 73, No. 4 (2023), 1489--1532.　
  2. Actions of automorphism groups of free groups on spaces of Jacobi diagrams. II, Journal of the Institute of Mathematics of Jussieu, Vol. 23, No. 1 (2024), 1--69.

Memberships, activities and

Awards

15th Tachibana Award (for Outstanding Women Researchers)