I am interested in mathematics, particularly in abstract algebra and category theory. I've done some stuff. You can contact me at eytan@asdia.dev.

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

• 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
• Coins Flips, Fair Casinos and Martingales (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

Course Notes

• Triple Math (source)
  Notes for H2 Mathematics, H2 Further Mathematics, and H3 Mathematics.
• Physics (source)
  Notes for H2 Physics.

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.