Earlier this year Jan Felipe van Diejen (Universidad de Talca) and I have discovered the solution of a long-standing problem which, in part, meant finding the eigenvectors of the following matrix.. … More Elliptic Kac–Sylvester Matrix from Difference Lamé Equation [PAPER]
The controversy around the invention of calculus and the priority dispute between Newton and Leibniz is widely known and often presented as they were isolated thinkers, working independently, not exchanging any thoughts. This, however, isn’t so, because they were actively communicating, through common acquaintances, such as Henry Oldenburg, to whom Newton wrote the following in … More Fundamental Anagram of Calculus
The kissing number problem belongs to the realm of geometry. It’s intimately connected to sphere packing, lattices and spherical codes as well as various other branches of mathematics, such as group theory, Lie theory, optimization theory and the list goes on [1]. In this short post, I’ll describe the problem itself with a bit of … More The Difficulty of Kissing
In this post, I describe the Coxeter projection of all five exceptional root systems. … More Coxeter Projection of Exceptional Root Systems
Motivated by Cantor‘s result, that the unit interval and the unit square have the same (infinite) number of points, Peano constructed a continuous map from the unit interval onto the unit square in 1890. This was the first example of a space-filling curve. A year later, Hilbert came up with a variation of Peano’s curve … More A Triangle-Filling Curve
“Speed depends on size | Balanced by dispersion | Oh, solitary splendor” – Lax’s soliton haiku … More Solitary Splendor
In the Hamiltonian formulation of classical mechanics… … More It’s a Symplectic World
I just came across a witty Monthly paper from 1981 written by Meyer. As they say, there’s a grain of truth in every joke.. … More Meyer’s Joke
Consider the complex plane extended with the point at infinity. … More Groups Unfolding
Here is a puzzle of Carrollian style from 1936. It was proposed by Sir Arthur Eddington and published in the New Statesman and Nation magazine. … More Looking Glass Zoo
Tamás Görbe 