Research Interests: Bridgeland stability, moduli spaces, (d-critical) birational geometry, and Donaldson-Thomas invariants.
Papaers
Degree two Gopakumar-Vafa invariants of local curves (With Ben Davison). Accepted in Geom. Topol.. arXiv
Categorical blow-up formula for Hilbert schemes of points. To appear in Proc. Amer. Math. Soc. arXiv
Thurston compactifications of spaces of stability conditions on curves (With Kohei Kikuta and Genki Ouchi). Trans. Amer. Math. Soc., 2024. journal, arXiv
Cohomological chi-independence for Higgs bundles and Gopakumar-Vafa invariants (With Tasuki Kinjo). J. Eur. Math. Soc., 2024. journal, arXiv
Perverse schobers and Orlov equivalences (With Genki Ouchi). Eur. J. Math., 2023. journal, arXiv
On the Bogomolov-Gieseker inequality for hypersurfaces in the projective spaces. Math. Res. Lett., 2023. journal, arXiv
Stability conditions on Calabi-Yau double/triple solids. Forum Math. Sigma, 2022. journal, arXiv
On the Bogomolov-Gieseker inequality in positive characteristic. IMRN, 2022. journal, arXiv
Derived categories of Thaddeus pair moduli spaces via d-critical flips (With Yukinobu Toda). Adv. Math., 2021. journal, arXiv
Birational geometry of moduli spaces of perverse coherent sheaves on blow-ups. Math. Z., 2021. journal, arXiv
Stability conditions on threefolds with nef tangent bundles. Adv. Math., 2020. journal, arXiv
Perverse coherent sheaves on blow-ups at codimension 2 loci. Int. Math. Res. Not., 2019. journal, arXiv
Stability conditions on product threefolds of projective spaces and Abelian varieties. Bull. Lond. Math. Soc., 2017. journal, arXiv
Preprints
Stability conditions on Calabi-Yau threefolds via Brill-Noether theory of curves (With Soheyla Feyzbakhsh, Zhiyu Liu, and Nick Rekuski). arXiv
Stability conditions on K3 surfaces via mass of spherical objects (With Kohei Kikuta and Genki Ouchi). arXiv
Symmetric products of dg categories and semi-orthogonal decompositions. Submitted. arXiv