Xin Jin

Xin Jin is Associate Professor in the Department of Mathematics at Boston College's Morrissey College of Arts and Sciences. Her research bridges microlocal sheaves, symplectic topology, geometric representation theory, and homological mirror symmetry, with secondary interests in chaotic dynamical systems.

Her work develops connections between microlocal sheaf categories, J-homomorphism in topology, and symplectic aspects of representation theory. Publications demonstrate dual focus on foundational work in geometric representation theory (especially universal centralizers) and applied dynamical systems (billiard hyperbolicity).

Recent publications explore cohomological structures of universal centralizers, Hamiltonian group actions, and homoclinic dynamics in billiard systems. Earlier landmark results established correspondences between holomorphic Lagrangian branes and perverse sheaves.