# David Bai

## About Me

Hi, I am David.
Some people say I'm a mathematician.
Assuming they're right, I'm mainly interested in algebraic geometry and closely related areas.

I completed my undergraduate studies at Cambridge.
I am currently working towards a Ph.D. at Yale.

## Cambridge Lecture Notes

I took some lecture notes when I was a student at Cambridge.
They are published in this page.

If you think these notes can be improved in any way (e.g. more detailed explanation on certain topics), or have found any mistakes or typos, you are most welcome to let me know.

## Casual Writings

These are short notes on a selection of topics I've come across.
Some contain original work and some don't.
They are expected to have better quality than the lecture notes I took for obvious reasons.
The articles are listed in reverse chronological order.

Trivial Tensor Products (a simple argument that classifies situations where a tensor product of vector bundles is trivial)

D-modules and Crystals (talk at a learning seminar, October 2023)

Local Moduli of Abelian Varieties and the Serre-Tate Theorem (my Part III Essay)

Intersection Theory on Surfaces and Riemann Hypothesis for Curves

Hilbert Scheme of Planar Curves on Surfaces

Beyond Serre Vanishing

Twenty-Seven Lines on a Smooth Cubic Surface

The GAGA Principle of Serre

## Contact Me

See here if you want to get in touch with me.