Xin Jin's Homepage
Xin Jin
Assistant Professor
Department of Mathematics
Boston College
Chestnut Hill, MA
E-mail: xin.jin (at bc.edu)
Research Interests:
Primary: Microlocal sheaves, symplectic topology, geometric representation theory, homological mirror symmetry, algebraic topology,
Secondary: dynamical systems, especially chaotic billiards
My CV.
List of publications and preprints (arXiv)
Holomorphic Lagrangian branes correspond to perverse sheaves. Geom. Topol. 19 (2015), 1685–1735. arXiv DOI
Symplectomorphism group of T*(G/B) and the braid group I: A homotopy equivalence for G = SL_3(C). J. Symplectic Geom. 17 (2) (2019), 337–380. arXiv DOI
Representing the big tilting sheaves as holomorphic Morse branes. Adv. Math. 345 (2019), 845–860. arXiv DOI
Brane structures in microlocal sheaf theory. Joint with D. Treumann. J. Topology 17 (1) (2024), e12325, 68 pages. arXiv DOI
A Hamiltonian \coprod_n BO(n)-action, stratified Morse theory and the J-homomorphism.
Compositio Math. (to appear), 2024, 96 pages. arXivHyperbolicity of asymmetric lemon billiards. Joint with P. Zhang, Nonlinearity 34 (1) (2021), 92–117. arXiv DOI
Microlocal sheaf categories and the J-homomorphism. Submitted, 55 pages. arXiv
Homological mirror symmetry for the universal centralizers I: the adjoint group case. (Now part of item (11)). arXiv
Birkhoff normal form and twist coefficients of periodic orbits of billiards. Joint with P. Zhang. Nonlinearity 35 (8) (2022), 3907–3943. arXiv DOI
Homoclinic and heteroclinic intersections for lemon billiards. Joint with P. Zhang. Adv. Math. 442 (2024), 109588, 67 pages. arXiv DOI
Homological mirror symmetry for the universal centralizers. 119 pages. arXiv
Mirror symmetry for the affine Toda systems. Joint with Z. Yun. In preparation.
Multiplicative universal centralizers: cluster structure and mirror symmetry. Joint with B. Webster. In preparation.
Cohomology of the universal centralizers. In preparation.