About Me

I am a Year 6 student at Dunman High School in Singapore. I am currently interested in abstract algebra and category theory. I've done some stuff. You can contact me at [email protected].

Papers

• On the Critical Density of Minesweeper Boards, 2024 (slides, code, data)
  with Sim Hayden and Ma Weiyi and Brandan Goh Yu Hong. Submitted to the 2024 Singapore Mathematics Project Festival.
• Battleship: Optimal Play, 2022
  with Onn Qi Huan and Tan Eason and Adeline Hau Yun Yi. Submitted to the 2022 Singapore Mathematics Project Festival.

Expository Writings

Some articles I've written on various mathematical topics.

• Nilpotent 0-1 Matrices
• Particular Values of the Alternating Tornheim Series
• Finite Orders of the Möbius Transformation
• Maclaurin's Inequality and the Generalized Bernoulli Inequality
• The Generalized ABRACADABRA Theorem (slides, playground)
  Written as part of a workshop for Math Week 2025 at Dunman High.
• An Equivalence between the Asymptotic Behaviour of the Möbius and Mertens Functions
• The Integral of Higher Powers of the Arctangent Derivative Function

Projects

• SMO Compendium (source)
  A compilation of problems and solutions from the Singapore Mathematical Olympiad. Work in progress.
• Devious Problems
  8 olympiad-level problems for high school students. Compiled for Math Week 2025 at Dunman High.
• asdia.sty (source)
  Documentation for my custom \(\LaTeX\) style file.

Course Notes

The following are some notes I typed while preparing for my A-Level examinations.

• Triple Math (source)
  Notes for H2 Mathematics (9758), H2 Further Mathematics (9649), and H3 Mathematics (9820). Includes solutions to tutorials, self-practices and examinations.
• Physics (source)
  Notes for H2 Physics (9749).