Research

Papers

1. Stability and disconnected groups,
   joint with Andres Fernandez Herrero.
   Preprint, 2025. Submitted. (arXiv)
2. Intrinsic Donaldson–Thomas theory. II. Stability measures and invariants,
   joint with Chenjing Bu and Tasuki Kinjo.
   Preprint, 2025. (arXiv)
3. Intrinsic Donaldson–Thomas theory. I. Component lattices of stacks,
   joint with Chenjing Bu, Daniel Halpern-Leistner and Tasuki Kinjo.
   Preprint, 2025. Submitted. (arXiv)
4. Cohomology of symmetric stacks,
   joint with Chenjing Bu, Ben Davison, Tasuki Kinjo and Tudor Pădurariu.
   Preprint, 2025. Submitted. (arXiv)
5. Refined Harder-Narasimhan filtrations in moduli theory.
   Preprint, 2023. (arXiv)
6. Appendix to Stability conditions in Geometric Invariant Theory, by Ruadhaí Dervan.
   The Quarterly Journal of Mathematics, 2025. (Journal, arXiv)
7. 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)

Thesis

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

The first half of this thesis consists of the paper above named Refined Harder–Narasimhan filtrations in moduli theory.