I write blog posts (most in Chinese) on mathematics as a means to organize what I have learnt and to communicate with others. Hopefully, they could also provide a glimpse of algebraic topology to students and scholars in different fields with interest in it.

Posts

• How to learn $\infty$-categories and higher algebra in a practical way
• Lubin-Tate theory and deformations of Formal groups
• Stable Homotopy——历史的一点感想
  Stable Homotopy–A little historical sentiment
• Homotopy Colimits and Strong Landweber Theorem
• Realization of Formal Group Laws
• Quillen的伟大工作:复配边与形式群
  Quillen’s great work: complex cobordism and formal group laws
• 一个定理的心路历程(II)
  The mental process during studying the theorem that $MO$ is a wedge sum of Eilenberg-Maclane spectra(II)
• 一个定理的心路历程(Ⅰ)
  The mental process during studying the theorem that $MO$ is a wedge sum of Eilenberg-Maclane spectra(I)
• 代数拓扑里面什么叫做spectrum？
  What is the “spectrum” in algebraic topology?
• 代拓中的示性类
  Characteristic classes in algebraic topology
• 同伦范畴和generalised cohomology theory
  Homotopy categories and generalized cohomology theories
• 群的上同调可以解决哪些引入上同调语言以前完全无能为力的问题？
  What sort of problem can the group cohomology solve?
• 为何要引入同伦群，同伦群可以解决什么问题？
  Why introduced homotopy groups, and what problem can homotopy groups solve?
• Obstruction Theory
• 代数拓扑中Acyclic Models有什么几何意义?
  What geometric meaning do “acyclic models” that appeared in algebraic topology have?
• 球面高阶同伦群和Serre谱序列(II)
  Homotopy groups of spheres and the Serre spectral sequence(II)
• 球面高阶同伦群和Serre谱序列(Ⅰ)
  Homotopy groups of spheres and the Serre spectral sequence(I)
• 克莱因瓶不能嵌入R^3
  The Klein bottle can’t embed into $\mathbb{R}^{3}$
• 点拓整合
  Some useful conclusions in point-set topology