Research

  1. Intrinsic Donaldson–Thomas theory. II and III, joint with Chenjing Bu and Tasuki Kinjo. In preparation.
  2. Intrinsic Donaldson–Thomas theory. I. Component lattices of stacks, joint with Chenjing Bu, Daniel Halpern-Leistner and Tasuki Kinjo. In preparation.
  3. Blow-ups, instability and modular lattices. In preparation.
  4. Refined Harder-Narasimhan filtrations in moduli theory. 2023. Preprint. (arXiv)
  5. Appendix to Stability conditions in Geometric Invariant Theory, by Ruadhaí Dervan. 2023. Preprint. (arXiv)
  6. Relative étale slices and cohomology of moduli spaces (joint with Mark Andrea de Cataldo and Andres Fernandez Herrero). 2023. Submitted. (arXiv)


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.