王进一 (Wang Jinyi), SimplicialCat

About

I am a graduate student at Qiuzhen College, Tsinghua University.

I was born on March 27, 2003.

Email:

Maths

My supervisor is Prof. Lin Chen.

My mathematical interests lie in

Some of my talks are on Bilibili.

Some of my notes are on Zhihu.

Here are my Github repositories.

Selected talks and notes

These are in Chinese unless specified otherwise.

盲人摸象 (Blind men touching an elephant)

A basic introduction to topos theory.

Book on Github (>300 pages, continuously updated)

Sketches of an Elephant

A short talk on topos theory (name borrowed from P. Johnstone)

(English)

Notes

Interview with Prof. Laurent Lafforgue

(English)

Video 1: From Langlands program to topos theory

Video 2: The future of topos theory

Quillen's 1969 paper explained

(English)

A presentation of Quillen's 1969 paper on formal group laws.

Notes

Survey on Atiyah–Singer index theorem

(English)

Article

Spin geometry and Dirac operators

Notes

Notes on Categorical Logic Summer School 2025

Notes 1: Posets and propositional logic

Notes 2: Lex categories, algebraic theories and locally finitely presentable categories

Notes 3: Sketches

Principal bundles in an ∞-topos

Video and Slides (talk in Chinese, slides in English)

All concepts are Kan extensions

Video

Non-maths

Selected musical works

Que le Vent Soit Doux

An improvised piano re-arrangement of a beautiful background music in Genshin Impact.

Video