Research

Papers

  1. Intrinsic Donaldson–Thomas theory. II. Stability measures and invariants,
    joint with Chenjing Bu and Tasuki Kinjo.
    Preprint, 2025. (arXiv)
  2. Intrinsic Donaldson–Thomas theory. I. Component lattices of stacks,
    joint with Chenjing Bu, Daniel Halpern-Leistner and Tasuki Kinjo.
    Preprint, 2025. (arXiv)
  3. Cohomology of symmetric stacks,
    joint with Chenjing Bu, Ben Davison, Tasuki Kinjo and Tudor Pădurariu.
    Preprint, 2025. (arXiv)
  4. Refined Harder-Narasimhan filtrations in moduli theory.
    Preprint, 2023. (arXiv)
  5. Appendix to Stability conditions in Geometric Invariant Theory, by Ruadhaí Dervan.
    The Quarterly Journal of Mathematics, 2025. (Journal, arXiv)
  6. Relative étale slices and cohomology of moduli spaces,
    joint with Mark Andrea de Cataldo and Andres Fernandez Herrero.
    2023. To appear in Annales de l’Institut Fourier. (arXiv)


Works in preparation

  1. Intrinsic Donaldson–Thomas theory. III. Wall-crossing and applications,
    joint with Chenjing Bu and Tasuki Kinjo.
  2. Blow-ups, instability and modular lattices.


Thesis

  • Refined Harder-Narasimhan filtrations in moduli theory.
    Oxford DPhil thesis. 2024. (pdf)

This thesis is a combined and expanded version of the papers above named Refined Harder–Narasimhan filtrations in moduli theory and Blow-ups, instability and modular lattices.