Research
Papers
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Intrinsic Donaldson–Thomas theory. I. Component lattices of stacks,
joint with Chenjing Bu, Daniel Halpern-Leistner and Tasuki Kinjo.
Preprint, 2025. (arXiv) -
Cohomology of symmetric stacks,
joint with Chenjing Bu, Ben Davison, Tasuki Kinjo and Tudor Pădurariu.
Preprint, 2025. (arXiv) -
Refined Harder-Narasimhan filtrations in moduli theory.
Preprint, 2023. (arXiv) - Appendix to Stability conditions in Geometric Invariant Theory, by Ruadhaí Dervan.
The Quarterly Journal of Mathematics, 2025. (Journal, arXiv) -
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
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Intrinsic Donaldson–Thomas theory. III. Wall-crossing and applications,
joint with Chenjing Bu and Tasuki Kinjo. -
Intrinsic Donaldson–Thomas theory. II. Stability measures and invariants,
joint with Chenjing Bu and Tasuki Kinjo. - Blow-ups, instability and modular lattices.
Thesis
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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.