Other math

Notes (TeXed):

• The derived category of coherent sheaves;

• Stability conditions;

• Symmetric products and the Hilbert scheme of points, which grew into an expository article on the same topic, appeared in Quaderni Borromaici;

• Integral filtrations and equivariant C*-actions on sheaves of modules (study group with H. Chen and T. Goller);

• A stab at homological mirror symmetry.

Notes (handwritten):

• Notes from my UKAG Network 2024 Winter School, held in Lancaster (16-20 Dec. 2024): Lecture 1, Lecture 2, Lecture 3, Lecture 4. Here are references and exercises.

• Notes from my lecture series held at Makerere University, Kampala, Uganda (25-30 Nov. 2024): Lecture 1, Lecture 2, Lecture 3, Lecture 4, and a short course plan. This was in the context of the  Easter Africa ALGebra Research Group (you can find video recordings here).

• Notes from my talk on resolutions of log del Pezzo hypersurfaces (at GEARS, 16 May 2023)

• Notes from Towards HMS for log del Pezzo Surfaces (QMUL, 31-03-23)

• G-sheaves.

• Notes from my talk on Orbifold Semiorthogonal Decompositions for Abelian Varieties (at Kansas University, April 2021)

Theses:

• PhD Thesis: Moduli spaces of sheaves: generalized Quot schemes and Bridgeland stability conditions (Advisor: Aaron Bertram)

• Master's Thesis: Algebraic and Rational Uniformization by Radicals (Advisor: Gian Pietro Pirola)

• Bachelor Thesis: Burnside's theorem (Advisor: Stefano Demichelis)