Higher Algebra, Algebraic K Theory and Prismatic Cohomology(Updating). notes on Mini-course taught by Longke Tang at BICMR in 2023 winter.
Stable Dold--Kan Correspondence, This will be the note of my talk in WiSe 2025 GoodWillie Calculus.
Introduction to Monad and Higher Algebra , A talk on monad and higher algebra.
Algebraic Geometry(Chinese, not yet completed) A note about Algebraic Geometry in Banana Space, which also includes some fancy notions.
Six Functor Formalisms (Chinese), The Lecture Note of Infinite Category, Higher Algebra, and Six Functors Formalisms.
Spectra 基本观念 (Chinese, completed), My part of the seminar Algebraic Topology, An Introduction to Spectra, Stable Category and Derived infinite Category.
Application of six functor formalisms to smooth representation theory, my undergraduate thesis.
Etale Cohomology, 2024. Coorganized with MoQing Chen. Video available at Tencent Meeting.
Analytic Stack, 2024. Coorganized with Shuai Zong.
K Theory, 2024. Coorganized with Shuai Zong and Yifan Jin. Note .
p-adic Hodge Theory, 2024. Note .
Mixed Hodge Theory, 2024. Coorganized with ideal. Video avaliable at BiliBili.
Algebraic Topology, 2024. Video(my part, about Ordinary Category Theory) avaliable at BiliBili.
Six-Functor Formalisms, 2025. Organized by me, Click here for details.
Representative Theory and Group Cohomology, 2025. Organized by me and Zhou Yang. Following Issacs's character theory of finite groups(Zhou Yang, Representative part) and Lecture Note in Regensburg(Me, Group Cohomology part).