Blog
Notes on machine learning, quantitative research, and the mathematics underneath.
Partition Geometry: Profile Complexity and the Axis-Alignment Tax
Comparing how different models carve up space on shared labeled grids: scan-line profiles, an exact axis-alignment tax, and a general run-based lower bound on tree complexity.
geometrytheorymachine-learningTick Size and Discrete Control in Prediction Markets
How discrete tick size and integer inventory reshape a continuous market-making model on prediction markets like Kalshi, and the dimensionless ratio that decides when the exchange grid actually matters.
quantmarket-makingmathIMC Prosperity 3
Our first time taking a swing away from the books: a round-by-round write-up of Pandera's run to 23rd worldwide.
quantmarket-makingJane Street April 2025 Puzzle
A recursive, self-similar approach to the infinite binary tree puzzle, reduced to a pair of fixed-point equations and solved by binary search.
puzzleprobabilityC++ Basics to GPU: From Hello World to CUDA
A single reference built from my notes learning C++ and CUDA, from language basics and OOP through kernels, unified memory, streams, and an n-body simulator.
cppcudagpunotes