Writings

1. Undergraduate Thesis: Tensor Categorical Commutative Algebra (cover-less version).

2. Ph.D. Thesis: Expecting.

This section only documents the notes, reviews or summaries of the lectures I have attended, mostly taken by LaTeX.  For the notes I have written for my seminar talks, please directly click on the hyperlinks linked to those titles in the Seminars & Conferences section.

1. Review on basic topology. 

2. Review on partial differential equations.

1. Exercises in algebraic geometry.

2. Exercises in algebraic number theory.

3. Exercises in algebraic representation theory.

4. Exercises in complex dynamical systems.

5. Exercises in complex geomtry.

6. Exercise in ODEs and real dynamics.

7. Exercises in smooth manifolds.

1. A brief summary on Clifford algebras.

2. Homological properties of modules over Dedekind domains.

3. Homological mirror symmetry and derived categories.

4. On Cardinality of Hamel Basis and Equivalent Norms on Infinite Dimensional spaces.

5. On injectivity and surjectivity of maps between differential manifolds (incomplete draft).