01 · Pure mathematics
Can One Hear the Shape of a Drum?
An exploration of geometry through spectral data.
Open projectResearch · Projects · Exposition
Academic Work
An index of mathematical and interdisciplinary work. Each entry separates the type of work clearly while preserving the questions, methods, and learning behind it.
Selected work
Four current entries
02 · Scientific computing
Physics-Informed Neural Networks
Learning under equations, constraints, and physical structure.
Open project03 · Geospatial machine learning
Flood Susceptibility Mapping
Mapping flood-prone areas in Fangshan District with verified insurance claims and a LeNet-style CNN.
Open project04 · Expository mathematics
Ramanujan's Partition Formula
A Pioneer Academics course paper that reconstructs Newman's proof for readers approaching partitions through calculus and complex numbers.
Open paperReading the labels
Different kinds of academic work
Project labels distinguish investigative research, applied work, and exposition so that each piece is represented accurately.
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