Notes & Perspectives
Ideas in progress
Short notes and perspectives on applied mathematics, quantum science, and agentic AI. I use this space to work through questions, connect ideas across fields, and share arguments that may not yet belong in a formal paper. Unless otherwise noted, these are informal working notes rather than peer-reviewed publications.
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Will Mathematics Become Art?
A lightly edited translation of Diyi Liu's Chinese-language conversation with GPT-5.6 Sol about mathematics, AI, teaching, art, housing, knowledge, and social institutions.
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Matchgates, Majoranas, and Lie Algebras: A Self-Contained Guide
A beginner-friendly route from Z and XX rotations to Majorana bilinears, the Spin(2n)–SO(2n) double cover, and the logical SU(2) hidden inside two-qubit matchgates.
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A Place for Questions in Progress
Some questions are worth sharing before they become papers. This notebook is a place to develop ideas across applied mathematics, quantum science, scientific computing, and agentic AI.
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