Hi, I'm
a curious guy
Passionate about solving problems at the intersection of mathematics, business, and emerging technologies
"I'm an undergraduate student passionate about solving problems at the intersection of mathematics, business, and emerging technologies."
Welcome to my website! I use this site mainly as a personal index and a quick reference of the topics I've studied in my undergraduate years at Duke. Naturally, I've extended it to include a brief overview of my skills and current projects for recruitment purposes, along with some of my hobbies and interests for those that are curious.
I was born in Seoul but followed my family to California in 1st grade, staying there for 7 years before returning to Korea and graduating Korea International School in 2019. I graduated Duke in 2025.
Look around and feel free to ask my any questions or give me any feedback as you see fit! You can reach out to me through email or social media.
Coursework and Independent Studies
We start by building all mathematical theory from the ground up, starting with logic and sets, followed by the essential subjects (algebra, analysis). After building enough theory, we can investigate statistics and physics in its full rigor. Through electromagnetism, we can engineer transistors, allowing us to build integrated circuits and marking the start of computer science.
One direction is to continue abstracting the models we've already built in physics to study life sciences such as chemistry and biology. The other direction is to use quantitative tools (in varying degrees) to model real-life systems, such as businesses or nations, through economics. This is closely related to political science, finance, and business.
The motivation for humanities is quite different from that of STEM. A good start is to have a solid foundation in history, which is extremely intertwined with religion. Fields that attempt to model human behavior include psychology and sociology. To be honest I'm not sure where literature fits into all this, but I don't doubt it's importance.
Academic Papers & Timeline of Literature
Open source tools and applications
A machine learning Python package with a backend autograd engine in C++, built only with standard libraries. The primary data structures are the ember.Tensor
and ember.GradTensor
objects. It supports construction and training of deep neural nets, classical ML algorithms, Monte Carlo sampling, and classical hypothesis testing/confidence intervals. An advantage of this package is that rather than only supporting batch vector operations and matrix multiplications, we can also perform general contractions of rank-(N,M) tensors.
A visualization package for trajectories on the Bloch sphere. Not started yet.
A JavaScript library that allows you to build blockchains from scratch and use them for whatever you want, built only with standard libraries. You can create a lightweight and flexible blockchain following the Bitcoin protocol, with support for hierarchical wallets, ECC/RSA encryption, transaction handling, and asynchronous mining with adaptive difficulty. I've recently got into Monopoly, and so I implemented an application of it by coding the board game up where all the transactions are on this custom blockchain.
An options trading window and simulator. Not started.