Regular biography
Kengo Hirachi is a professor at the Graduate School of Mathematical Sciences, The University of Tokyo. His research interests include CR geometry, parabolic invariant theory, and the Bergman kernel. Hirachi is involved in various seminars and workshops, such as the Hayama Symposium on Complex Analysis in Several Variables and the Workshop on L 2 Extension Theorems. He also participates in events like the Princeton-Tokyo Workshop on Geometric Analysis. His profile page provides information about his courses, publications, and personal interests, including painting and family life.
Scholar-generated biography
Kengo Hirachi is a researcher in complex analysis and differential geometry, focusing on geometric analysis and its applications to conformal and CR geometries. His work explores invariants, curvature, and boundary behaviors in complex and pseudoconvex domains. Key topics include the ambient metric, Q-curvature, and the Szegö kernel, with contributions to the understanding of local and global invariants in CR manifolds. His research also addresses the interplay between conformal geometry and the AdS/CFT correspondence, as well as the asymptotic expansions of Bergman kernels. Hirachi's publications highlight the significance of logarithmic singularities and their connections to geometric invariants.