About
I'm a senior at Princeton University studying mathematics. I recently completed an exchange program at Tsinghua University in Beijing. My current research interests lie in convex geometry, where I'm working on problems related to the isoperimetric inequality.
I'm particularly drawn to finding simple, elegant proofs and explanations for fundamental mathematical concepts—whether it's the fundamental theorem of algebra or geometric inequalities. I believe that the most beautiful mathematics is often the most accessible.
I'm also fascinated by using AI to automate mundane tasks and exploring the edges of what it can do. This website, for instance, was built with Claude! I enjoy experimenting with AI tools to see how they can enhance productivity and creativity.
Beyond academics, I'm passionate about making STEM education accessible to underserved communities. In my free time, I enjoy mountaineering (I've summitted Mount Adams, WA at 12,881 ft), baking, and reading the Bible.
Research
A Polygonal Proof to the Isoperimetric Inequality
Joseph Chai • Advised by Dr. Alice Chang • In progress of submission, 2025
This note introduces a method of Strict Steiner Symmetrization and establishes that among n-polygon domains in the plane, the equal n-sided one achieves the extremal of the isoperimetric inequality.
Experience
Software Engineer Intern
Summer 2025
Leading a proof-of-concept financial attribute calculation engine to integrate across 5 services; projected to increase revenue within the org by 3–4% annually.
Software Engineer Intern
Summer 2024
Built an API Playground website (2,000+ LOC) for Financial Services, reducing onboarding by 6–7 hours/week for engineers and saving clients 3–4 days per integration.
AFE Software Engineer Intern
Summer 2023
Reduced Elasticsearch query latency from 90–110s to < 5s by implementing AWS OpenSearch for an internal financial tool managing 250M+ documents.
Teaching Assistant
2024–Present
TA for COS 126: Computer Science – An Interdisciplinary Approach; supported 100+ students in foundational CS concepts and problem sets.
Projects
Python, AI/ML • Currently in development
Developing an AI-powered conversational bot to help users practice speaking Mandarin Chinese with natural dialogue and pronunciation feedback.
Founder
2019–Present
Founded nonprofit expanding STEM access to low-income K–12 students; taught 160+ students across the US and Hong Kong through free courses.
Hobbies & Interests
Photography
I enjoy capturing moments through the lens, with a particular interest in landscape and street photography. Photography helps me see the world from different perspectives and appreciate the beauty in everyday moments.
Food
Experimenting in the kitchen is one of my favorite ways to unwind. From trying new recipes to perfecting classic techniques, I love the creative and scientific aspects of cooking.
Aside from cooking with others, I love to traveling to remote places within other countries and trying their local dishes!
Hiking
I've summitted Mount Adams, WA (12,881 ft) and enjoy the challenge and serenity of climbing. There's something profoundly rewarding about pushing physical limits while surrounded by nature's grandeur.
