Author Archives: randomprojection
A Historic Day in Mathematics
This morning, I woke up to news of a breakthrough on Erdős’ unit distance problem. Disproving Erdős’ Unit Distance Conjecture would be remarkable in its own right. What makes this moment extraordinary, however, is that the breakthrough was achieved by an OpenAI model. You can watch this fairly recent video if you are interested more […]
The Infinite Product That Knows Binary
A standard way to prove that every nonnegative integer has a unique binary representation is to use the division algorithm. Repeatedly divide the number by 2, record the remainders, and continue until the quotient becomes zero. The remainders, read backwards, give the binary expansion. Uniqueness follows because at each step the quotient and remainder are […]
Back Where It All Started
I am very happy to share that I am starting as a tenured Associate Professor at the University of Crete. The University of Crete has a remarkable scientific community and a long tradition of strong research in computer science and mathematics. I feel grateful and excited to become part of this environment. Academic trajectories are […]
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