Research interests
Large scale geometry (asymptotic dimension, coarse embeddability, expander graphs, warped cones, etc...),
Geometric group theory (relative hyperbolic groups, Haagerup property, property (T),etc...)
C*-algebras and their K-theory and it's applications to geometry and topology (Roe algebra, crossed product C*-algebra, Baum-Connes conjecture, etc...)
Papers
Non-geometric property (T) of warped cones. arXiv:2503.04578 with J. Deng
Controlled K-theory and K-homology. to appear in JNCG
Jordan decomposition of non-Hermitian fermionic quadratic forms. J. Stat. Mech. Theory Exp. 2024, no. 1, Paper No. 013101, 13 pp with S. kitahama, H. Yoshida and H. Katsura
An Operator-Valued Haagerup Inequality for Hyperbolic Groups. arXiv:2311.13651 with Z. Yang
Quantum Gromov-Hausdorff convergence of spectral truncations for groups with polynomial growth. arXiv:2309.13469