Today I received the news that my project, Harmonic Convergence, was selected as a winner of the Swift Student Challenge 2026. I feel deeply honored and grateful. The first Apple device I ever owned was an iPad Air 2 in 2014. Twelve years later, I am here as a developer in the Apple Developer Program, with multiple apps shipped worldwide, and now as one of the 350 Swift Student Challenge winners in 2026.
Harmonic Convergence is an interactive Swift Playground that teaches Independent Component Analysis, a technique for separating mixed signals into their independent sources, through a 3D audiovisual experience. It features custom SceneKit rendering with procedural geometry, a hand-written FastICA implementation, and an original soundtrack composed entirely by me. The core idea is simple: mathematics does not have to feel distant. If you have ever listened to music, you have already experienced what ICA does. Your brain separates overlapping instruments into distinct sounds without conscious effort. I wanted to build something that makes that invisible process visible and tangible, so that anyone who picks it up walks away a little less afraid of technical ideas such as eigenvectors, a concept that confused me completely the first time I encountered it.
I used to be terrified of mathematics. During my first year at the University of Toronto, I came close to failing out. Continuing in a math-heavy program felt impossible. What changed me was music. As a music producer, I started noticing that the tools I used for mixing and mastering were grounded in the same mathematics I had been struggling with: signal processing, Fourier transforms, and linear algebra. The wall between “creative” and “technical” turned out to be much thinner than I had imagined. Once I found that connection, mathematics stopped feeling like a threat and became something I genuinely wanted to understand.
Harmonic Convergence is my attempt to pass that moment of connection forward. It is built around a belief I hold deeply: science and the things we love are never far apart. You just have to find where they meet. I want to give my sincere thanks to Apple, to everyone behind the challenge, to my parents, and to everyone who has supported me throughout the process. I did it.
I also do not want this project to remain only a contest submission. I plan to release Harmonic Convergence under a new name: Convergence. The original ICA content will remain inside, and I want to expand it with two additional machine learning topics presented through interactive technology, free to explore on iPad.
As some of you may know, I am currently in my fourth year as a Mathematics and Statistics Specialist and am preparing intensively for final exams. The next few weeks are about that. After exams, I plan to share a more detailed write-up of the development process here on the blog. I also submitted a request to attend WWDC 2026, and if I am lucky enough to be invited, I would be thrilled to join the biggest developer event of the year at Apple Park.
For now, I just want to say this: if you are a student with an idea, consider joining the Swift Student Challenge next year. As Susan Prescott said in this year’s premiere video, if you finish the process and submit, you are already a winner. I believed that before the results came out, and I still believe it now.
I will see you all again very soon.
The SSC2026 winner promotional image is copyrighted by Apple and used here under the usage cases provided in the documentation.