# Writings

### Notes

These are notes for seminars that I hosted as an undergraduate student at Tsinghua University.

### Course projects

Some of the projects that I did for courses contain little pieces of original results, and I post them here.

• Homology of Configuration Spaces (2020).
A method to compute the homology of configuration spaces of manifolds.

• Stable Irrationality of Varieties (2020).
Proves the infinitude of stable birational classes in certain families of varieties.

• A Generalised Handle Theory (2018).
Generalises handle theory to noncompact manifolds. This leads to a new proof that $\mathbb{R}^2$ has a unique smooth structure, and more generally, a classification of noncompact surfaces with finite topology.

### Notes taken by others

Here are notes of some of my talks that are taken by other people.

• Higher Geometry (2023, notes by Tommi Muller).
I gave the first two talks, which were an introduction to the theory of algebraic stacks.