MediMath Science

The extraordinary expansion of artificial intelligence is creating an unusual economic environment. OpenAI, Anthropic, Google, and other frontier AI developers are competing in a market where slowing investment may itself be more dangerous than investing too aggressively. As long as improvements in models, inference capacity, and agentic systems continue to generate meaningful productivity gains, each company has a strong incentive to secure as much computing capacity as possible. This creates something resembling a survival game. This blog post argues that innovation is not enough, being first is not enough, and scientific excellence is not enough. In a rapidly changing technological environment, none of these advantages alone guarantees survival. What may matter most is an organization’s ability to repeatedly adapt and reorganize itself as the nature of competition changes. Fundamental research is indispensable to technological progress. However, when success in fundamental research ...

The current artificial intelligence boom, driven by platforms such as ChatGPT, Gemini, and Claude, is associated with rapidly growing demand for GPUs and high-bandwidth memory. But this may represent only one stage of a broader transformation in AI adoption. Over time, agentic AI could become an increasingly important driver. Unlike conventional chatbots that primarily respond to prompts, agentic AI systems can perform multi-step tasks, interact with software, retrieve information, make intermediate decisions, maintain working context, and coordinate with other agents.  Before proceeding, I would like to note that I wrote this blog post with the assistance of ChatGPT.  If agentic AI is adopted at scale across enterprises and other organizations, its infrastructure requirements could extend well beyond those of the current chatbot-centric model. For the semiconductor industry, this could broaden AI-related memory demand beyond HBM to server DRAM, enterprise SSDs, NAND flash, CX...

During July 2026, the Korean stock market experienced an unprecedented series of circuit-breaker and sidecar activations. Although global trade tensions and macroeconomic uncertainty initiated the market decline, the subsequent price movements were amplified by endogenous market mechanisms, resulting in substantial deviations of stock prices from their underlying fundamental values. The phenomenon was particularly pronounced in Samsung Electronics and SK Hynix. Despite reporting record earnings and maintaining robust business fundamentals, both companies experienced sharp price declines. Unlike most developed equity markets, Korea combines two distinctive structural characteristics: Samsung Electronics and SK Hynix account for a substantial fraction of the KOSPI capitalization, while both are actively traded through single-stock leveraged ETFs. Because these products concentrate leveraged exposure on individual stocks rather than diversified portfolios, their mandatory daily rebalancin...

Recently, I came across a news headline that caught my attention: “Why Did the 25-Year-Old AI Genius of Wall Street, Leopold Aschenbrenner, Fail?” The headline prompted me to write this blog post because I have seen friends go through somewhat similar experiences in their own investing. I should also mention that I am not a professional investor. What follows is simply my personal attempt to think about investing through the lens of mathematics, with substantial assistance from ChatGPT. On July 30, 2026, Leopold Aschenbrenner, the 25-year-old founder of the San Francisco-based hedge fund *Situational Awareness*, sent a letter to his investors. A former OpenAI researcher, Aschenbrenner graduated from Columbia University in 2021 as valedictorian with a B.A. in economics, mathematics, and statistics. In the letter, he acknowledged that his fund had lost **67% of its value in July alone**. For someone who had been widely regarded as an exceptionally talented young thinker in AI and investi...

 Artificial intelligence has become an irreversible force. Whether we welcome it or not, frontier models developed by companies such as OpenAI, Google DeepMind, Anthropic, and Meta will continue to define the technological frontier for the foreseeable future. No nation can realistically ignore these models, nor should it attempt to isolate itself from global AI progress. Before proceeding, I would like to make one point clear. I am not an AI expert . I am a retired professor whose work has primarily focused on theoretical analysis. The views presented here therefore reflect my perspective as an observer of technological and industrial systems rather than as a practitioner in AI. This is not simply a matter of technological competition. As populations age, workforces shrink, and healthcare costs continue to rise, AI is becoming an economic necessity rather than a technological luxury. Sustaining productivity across government, healthcare, manufacturing, finance, education, and other...

Shin Jin-seo's recent victory  (2026-07-21) over KataGo demonstrates a subtle but profound distinction between optimal decision making and winning against a particular opponent. The result suggests that maximizing an objective function is not always equivalent to maximizing the probability of defeating an adversary whose own decision process is constrained by optimization. One moment in the third and final game was particularly striking. Shin intentionally accepted a slight local loss in the corner, but in return secured outside thickness by steering the game into an essentially single-path sequence that even KataGo was forced to follow.  Although this exchange was locally suboptimal, it significantly simplified the subsequent game and ultimately became one of the decisive factors in his victory.  KataGo is designed to maximize its expected winning probability. Formally, it selects an action $a\in A$ by solving $a^*=\arg\max_{a\in A}\mathbb{E}[U(a)]$, where $U(a)$ d...