Dr Lucas Yudi Hataishi

Status

Postdoctoral Research Associate

ORCID iD

Research groups

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Major / recent publications

Actions of Compact and Discrete Quantum Groups on Operator Systems. Int.Math.Res.Not.IMRN(2024),no.15,11190-11220, joint with Joeri De Ro.
C*-algebraic factorization homology and realization of cyclic representations.
Quantum Topol. (2024), published online first. DOI 10.4171/QT/212.
Injectivity for algebras and categories with quantum symmetry.
arXiv:2205.06663 [math.OA], joint with Makoto Yamashita.
Noncommutative Poisson boundaries and Furstenberg-Hamana boundaries of Drinfeld doubles,

J. Math. Pures Appl. (9) (2022), 313-347; MR4377998, joint with Erik Habbestad and Sergey Neshveyev.

Spectral triples and Dixmier trace representations of Gibbs measures: theory and examples.

2024 Nonlinearity 37 105010, joint with Leandro Cioletti, Artur Oscar Lopes and Manuel Stadlbauer.

Research interests

Quantum symmetries: operator algebras, tensor categories and quantum groups