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Future Blog Post
This post will show up by default. To disable scheduling of future posts, edit config.yml and set future: false.
Blog Post number 4
This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.
Blog Post number 3
This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.
Blog Post number 2
This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.
Blog Post number 1
This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.
portfolio
Portfolio item number 1
Short description of portfolio item number 1
Portfolio item number 2
Short description of portfolio item number 2
publications
Note for the Seminar in Characteristic Class Theory(Ver. 20240728)
This note is in characteristic class theory for the seminar that is expected to be held next semester. It is still very incompleted and under working. I will upload the newest version here in time.
Note for Complex Geometry(NOT COMPLETED)
This is the note that I made when learning the video course of complex geometry taught by Prof. Zhang Xi in 2020SP semester. The video can be found here. The note is divided into two parts.
Part I: Introduction to multivariable complex analysis, basic definition of complex manifold and Kahler manifold, connection and curvature, differential operator on complex manifold.
Part II: Hodge theory, Chern-Weil theory, sheaf theory and stability of vector bundle, line bundle and vanishing theorem, Hermitian-Einstein bundle, Donaldson-Uhlenbeck-Yau theorem and Calabi-Yau theorem.
One may consult “Differential Geometry of Complex Vector Bundles” by Kobayashi for Chapter 1 to 7 of this course.
Note for Morse Theory
This is the note on Morse Theory. The reference textbook is “Morse Theory” by J. Milnor.
Probability Theory Lecture Note
This note is based on the course “Probability Theory(MATH3007)” of USTC, taught by Prof. Dang-Zheng Liu. The note covers all the content in the course, including the basic definitions in the probability theory, discussion on random variables, law of big numbers and central limit theorem.
Note for Riemannian Surface
This is the note on Riemannian surface. The reference textbook is “Riemannian Surface” by Mei Jiaqiang. The note is divided into two parts.
Part I: Basic definition of Riemann surfaces, uniformization theorem, Riemann-Roch theorem.
Part II: Cohomology and complex geometry of surfaces.
talks
Talk 1 on Relevant Topic in Your Field
This is a description of your talk, which is a markdown files that can be all markdown-ified like any other post. Yay markdown!
Tutorial 1 on Relevant Topic in Your Field
Talk 2 on Relevant Topic in Your Field
Conference Proceeding talk 3 on Relevant Topic in Your Field
This is a description of your conference proceedings talk, note the different field in type. You can put anything in this field.
teaching
Teaching experience 1
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Teaching experience 2
This is a description of a teaching experience. You can use markdown like any other post.