caelestia's math center

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Hello

各位, 早上好, 中午好, 晚上好.

This is my blog for casual, everyday math topics. Also, an attempt to keep me writing down stuff and doing exercises.

Still figuring out how to write in English.

Find me at github. Please tell me if anything I wrote is wrong.

Posts

Format of exercises: Ex (book) description

2024/Oct

Creation of this page.

2024/Nov

First Post! Random linear algebra question

Definition of cofibration map

Existence of primitive roots

No countable Galois groups

Galois exercises~

2024/Dec

Galois Exercise 2

2025/Feb

Example: locally compactness in the adjunction

First encounter with convex sets

Fundamental theorem of algebra

Pushing out in Top

CW complexes part 1

2025/Mar

Fundamental theorem of algebra, yet another proof

2025/May

2025/Jun

Units in R[X]

Semisimple modules and rings

Central simple algebras

2025/Jul

Fundamental theorem of symmetric polynomials

Covering spaces over the wrong space

The series expansion of log(2) and Abel’s Theorem

Solving the homogeneous linear ODE in calculus, justified?

Riemann correspondence