The Critical Section
About Posts Tags

Recent posts:

  • 02 May 2026 The Wild Atlantic Way

    This is the rightful conclusion to an epic trilogy of mighty roadtrips, full of vast green plains and breath-taking steep seaside cliffs. We previously did Scotland's NC500, then Iceland's Ring Road. Now it's time for Ireland's Wild Atlantic Way.


  • 05 Apr 2026 The Mechanics of the Global Oil Market

    Every single day, the world consumes over 100 million barrels of oil. It's a resource that dictates everything from geopolitical power to the price of your groceries. This article explains how the oil industry works from the reservoir to the refinery, then from the refinery to the futures market and the broader economy. It's an important and timely topic, given its impact in the world economy and also in our lives.


  • 30 Jan 2026 My Time in Singapore

    I am very grateful to have had the opportunity to spend some time in Singapore. My first visit was a five-month exchange at NUS at the beginning of 2020, and it became perhaps the single most transformative experience of my life up to that point. I first heard about COVID-19 only a day after I landed; soon after, the pandemic began to escalate. Despite the fear and disruption, I stayed for the full semester. My second visit was much shorter and more recent, for AAAI-26. This post documents observations and thoughts from those visits - things I would consider too dear to forget.


  • 30 Dec 2025 ETFs Under the Hood

    ETFs are often praised as the ultimate passive investment tool. But why? How do they work? How does a fund swap thousands of stocks without paying taxes? How does it track market indices? In this post, we’ll pry open the lid of this financial machine, exploring its engineering from first principles.


  • 14 Dec 2025 Portfolio Optimization and CAPM

    I've decided to look at the problem of portfolio optimization a bit more formally, to better understand its nuances. The end goal of this post is to explain the beta coefficient, observable in many finance websites. Along the way, we'll see how portfolio optimization serves as the microfoundations on equilibrium theories in the market of risky assets.


Expander Graph
Figure 1: An expander - a most curious sparse graph with strong connectivity properties.
Every subset of less than half the total number of vertices has a proportionally large boundary of edges.

  • The Critical Section
  • GitHub

A personal blog for artificial intelligence and similar topics.