Developer · Researcher · Mathematician

Yu, Yao-Hsing 尤耀星

I build tools that bridge mathematics, AI, and real-world applications — Microsoft Store desktop apps, full Python runtimes for iOS, and on-device IDEs for iPad.

2025 S.T. Yau High School Science Award · Bronze, Grand Finals · Silver, Asia Regional

Published research · peer-reviewed

Limiting spectral distributions of random matrices

Cambridge Journal for Junior Scientists, Volume 3 (2026), Number 2, pp. 365–382. Published 30 July 2026 by International Press of Boston. Open access.

doi:10.4310/CJJS.260626162006 · grew out of the work that took Bronze in Mathematics at the 2025 S.-T. Yau High School Science Award finals

30+ native Python libraries cross-compiled for iOS · 5 packages on PyPI · 1 peer-reviewed paper · 2 science awards

Selected work

Flagship apps and frameworks

All projects
ManimStudio app icon

ManimStudio

Windows · iOS · v1.1.3.0

A GUI for creating mathematical animations with Manim — bundled Python and MiKTeX, no admin rights. On the Microsoft Store and App Store.

Get it from Microsoft Download on the App Store
BenchCode icon

CodeBench Local AI

iPad · Mac Catalyst

A self-contained, offline dev / scientific / AI workstation — Monaco editor, integrated terminal, Python 3.14 + C/C++/Fortran, on-device pdflatex, and local LLMs via llama.cpp.

python-ios-lib 30+ libs

Python 3.14 · iOS arm64

A full Python runtime for iOS with the first public native PyTorch build, HuggingFace transformers, Rust tokenizers, NumPy/SciPy/scikit-learn, manim, and C/C++/Fortran interpreters. Powers CodeBench.

EigenDenoise app icon

EigenDenoise & Generalized Covariance

macOS · Windows · two stores

My Yau-award research shipped as software, twice. EigenDenoise is a Metal-accelerated macOS image denoiser built on random matrix theory; Generalized Covariance Matrix is the Windows research tool for eigenvalue spectral distributions — analyse ESDs, visualise spectral densities and export results, fully offline.

Download on the Mac App Store Get it from Microsoft
Bootbox app icon

Bootbox

iOS · iPadOS

A boot manager for your iPad. It boots real operating systems — 64-bit Linux, classic Windows, graphical desktops — inside a WebKit-hosted emulation stack, with real internet and real multi-core. Everything runs on-device: no servers, no streaming, no jailbreak.

SidecarBridge app icon

SidecarBridge

iOS · App Store

A secure remote window into your Mac, with iPhone and iPad keyboard, trackpad, touch and Apple Pencil input. Everything stays on your own network — the Mac's screen is never published to the Internet.

Download on the App Store

Typhoon Forecasting AI Trackformer

causal · +120 h · western Pacific

My own tropical-cyclone model: track, central pressure, intensity and the wind-field radii five days out. It reads analysis fields valid at or before the issue time — never a forecast field, and never another agency's track. Live on the tracks explorer over real JMA forecasts and past storms.

GPS-location-app icon

GPS-location-app

iPhone · Apple Watch

Precision GPS workout tracker. Kalman-filtered location, HealthKit sync, Live Activities, CarPlay and route analytics in a clean SwiftUI interface.

Download on the App Store

python-to-binary no deps

compiler · stdlib only

A compiler and application builder written with nothing but the Python standard library. It turns Python into real machine code — and where it needs C in the middle, it compiles that C with a C compiler it also wrote. No Cython, Nuitka, Rust, gcc or clang at any point.

Apple Foundation Model Teardown

reverse engineering · paper

A static reverse-engineering of Apple's on-device foundation model — the sparse Mixture-of-Experts backbone in Apple Intelligence — decoded from its container formats down to a component-validated PyTorch forward pass. Original research only: no Apple weights or tokenizer are redistributed.

What I do

Mathematics, AI, and shipping real software

01

Mathematical research

Random matrix theory, the Stieltjes transform, limiting spectral distributions, and statistical modeling.

02

AI and machine learning

On-device PyTorch, HuggingFace transformers, scikit-learn, and local LLMs running fully offline.

03

Cross-platform apps

Windows Store and App Store apps, native iOS frameworks, and open-source packages on PyPI.

04

Media and graphics

Math animation with Manim, hardware video encoding with FFmpeg, and GPU 2D graphics with Cairo on Metal.

Score: 0

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