— Yoneda Lemma
— Pentagon Axiom
— Hexagon Axiom
— Yang–Baxter Equation
  • Haixuan Lin
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    Haixuan Lin

    Haixuan Lin

    A senior undergraduate student at Fudan University majoring in Physics.

    • Shanghai, China
    • Fudan University
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    Exciton-Photon Interaction — From a Symmetry Point of View

    interview · 2026 · OverleafOverleafPDFView PDF

    Using representation theory, I discussed the symmetry-forced zero points of electron-phonon interaction.

    Exciton-Photon Interaction from the Ground Up

    group meeting · 2026 · OverleafOverleafPDFView PDF

    I discussed the exciton-phonon interaction and its mathematical structure from the perspective of Hamiltonian matrix elements.

    Topological Data Analysis and Its Applications in Computational Physics and Chemistry

    group meeting · 2026 · OverleafOverleafPDFView PDF

    I discussed the main homology theories used in topological data analysis, especially persistent homology and GLMY theory.

    Raman Spectroscopy Experiment and Group Theory Analysis (in Chinese)

    experiment cource final report · 2025 · OverleafOverleafPDFView Article (in English)

    I discussed the application of group theory to analyze the vibrational eigenmodes of molecules — using CCl4 as an example — and their Raman spectroscopy spectra.