My name is Lê and I believe that the greatest challenge in education is to make science and math appealing.
This is why I aim at bringing enthusiasm and excitement to the readers’ learning experience.
I now run a Robustly Beneficial wiki, mostly on AI ethics, which has come to fascinate me!

Mechanism Design and the Revelation PrincipleMechanism Design and the Revelation Principle By Lê Nguyên Hoang | Updated:2016-02 | Views: 7254 Whenever you need to make a group of people interact, you are designing a mechanism. If you want to achieve a good interaction, you need to make sure your mechanism is well designed. In this article, I'll show you main features of mechanisms through various examples. I'll also talk about a great mathematical tool for mechanism design: the revelation principle.

Marriage Assignment Problem and VariantsMarriage Assignment Problem and Variants By Lê Nguyên Hoang | Updated:2016-02 | Views: 7268 Marriage problems consist in matching boys and girls. They are a very interesting class of problems that include assignment problems, which have a very large range of applications. Additional results have been found for variants which include the introduction of boys and girls' preferences, and cases where people cannot be categorized into two groups.

Spacetime of Special RelativitySpacetime of Special Relativity By Lê Nguyên Hoang | Updated:2016-02 | Views: 3573 Einstein's theory of relativity is the best-known breakthrough of the History of science. The reason for that isn't only the accuracy of the theory, but also and mainly its beauty. As Einstein once said: "Most of the fundamental ideas of science are essentially simple, and may, as a rule, be expressed in a language comprehensible to everyone." This is what the article aims at showing Einstein's simple ideas of special relativity and their beauty.

Euler's Formula and the Utilities ProblemEuler's Formula and the Utilities Problem By Lê Nguyên Hoang | Updated:2016-01 | Views: 18729 I was a kid when I was first introduced to the deceptively simple utilities problem. It's only lately that I've discovered its solution! And it's an amazing one! Indeed, it provides a wonderful insight into some fundamental mathematics, including Euler's formula! This is nothing less than the gateway to the wonderful world of algebraic topology!

The Tortuous Geometry of the Flat TorusThe Tortuous Geometry of the Flat Torus By Lê Nguyên Hoang | Updated:2015-12 | Views: 20573 Take a square sheet of paper. Can you glue opposite sides without ever folding the paper? This is a conundrum that many of the greatest modern mathematicians, like Gauss, Riemann, and Mandelbrot, couldn't figure out. While John Nash did answer yes, he couldn't say how. After 160 years of research, Vincent Borrelli and his collaborators have finally provided a revolutionary and breathtaking example of a bending of a square sheet of paper! And it is spectacularly beautiful!

Numbers and ConstructibilityNumbers and Constructibility By Lê Nguyên Hoang | Updated:2016-02 | Views: 9517 Last summer, I got to discover Morellet's artwork on inclined grids. Amazingly, this artwork is a display of the irrationality of $\sqrt{2}$! It's also a strong argument for the existence of this number. In this article, after discussing that, I take readers further by discussing what numbers can be constructed geometrically, algebraically, analytically or set theoretically using the power of mathematics!