Hello
This is Timo from Taiwan. Welcome to my personal website. I’m a PhD student studying number theory. This is a place where I share some math content. Hope you find something useful!
Something I Write
Below are some materials written by me. If you have any questions or find some mistakes, please do not hesitate to contact me by email. Feel free to download the whole PDF files!
Expository Papers
- Cyclotomic Polynomial
- Dedekind’s Theorem on Galois Groups and Chebotarev’s Density Theorem
- Liouville’s Theorem on Diophantine Approximation and Liouville Number
- Proofs of the Infinitude of Primes
- Resultant and its Applications
- Special Zeta Values at Positive Even Integers (Classical Case and Function Field Case)
- The Transcendence of
- Visualize the Gaussian Integers
High School Math
- Christmas Stocking Theorem
- A Short and Simple Proof of Pythagorean Theorem
- Visual Proof: Sum of First Squares
Something Interesting
Collected Notes
- 微積分 (by an anonymous contributor)
Webpages
- The Evolution of Trust
- Examples of eventual counterexamples
- Poring over Poncelet
- 27 Lines on a Cubic Surface (see here for interactive page)
Videos
- Approximating Irrational Numbers (Duffin-Schaeffer Conjecture) - Numberphile
- 1+1/2+1/3+…+1/n is NEVER an integer when n is bigger than 1
- Why do prime numbers make these spirals? | Dirichlet’s theorem, pi approximations, and more
Papers
- Proof of the Sheldon Conjecture (free access from the author’s webpage) Carl Pomerance and Chris Spicer. In: The American Mathematical Monthly 126.8 (2019), pp. 688–698.
- The Strong Law of Small Numbers Richard K. Guy. In: The American Mathematical Monthly 95.8 (1988), pp. 697–712.