Publications

Abstract

This page records the conferences, workshops and summer/winter schools that I have attended since my undergraduate years. The events cover a broad spectrum of fundamental physics and mathematics—ranging from quantum gravity and holography to non-equilibrium quantum dynamics and condensed-matter theory. My roles have varied from participant to poster presenter, and the list reflects my ongoing effort to broaden my academic horizon and to stay at the forefront of interdisciplinary research.

Title	arXiv Info (ID, Category, Date)	Status	Keywords	Abstract
A Topos-Theoretic Bridge for Holographic Entanglement Entropy	arXiv:24XX.XXXXX Categories: quant-ph, math-ph, gr-qc First Posted: 2025-MM-DD Version: v1	Preprint (arXiv) Submitted to: PRX Quantum	Holographic Entanglement Entropy, Topos Theory, Quantum Gravity, Category Theory	We develop a topos-theoretic framework to unify holographic entanglement entropy calculations with quantum information theory. By constructing a sheaf-theoretic representation of bulk-boundary correspondences, we show how topological invariants of the holographic dual can be extracted via topos-theoretic forcing, providing a novel mathematical foundation for quantum gravity phenomenology.
A Topos-Theoretic Bridge for Geometric Quantum Control	arXiv:24XX.XXXXX Categories: quant-ph, math.OC, cs.SY First Posted: 2025-MM-DD Version: v1	Preprint (arXiv) Submitted to: Journal of Mathematical Physics	Geometric Quantum Control, Topos Theory, Symplectic Geometry, Quantum Feedback	This work introduces a topos-theoretic approach to geometric quantum control by modeling quantum systems as sheaves over symplectic manifolds. We demonstrate that topos-theoretic localization enables robust control of quantum states under geometric perturbations, with applications to fault-tolerant quantum computing and quantum feedback networks.
A Topos-Theoretic Bridge for Quantum Machine Learning	arXiv:24XX.XXXXX Categories: cs.LG, quant-ph, math-ph First Posted: 2025-MM-DD Version: v1	Preprint (arXiv) Submitted to: NeurIPS	Quantum Machine Learning, Topos Theory, Neural Networks, Topological Representation Learning	We establish a topos-theoretic bridge between category theory and quantum machine learning, proposing a new class of topological quantum neural networks (TQNNs). These networks leverage sheaf cohomology to extract topological features from quantum data, achieving state-of-the-art performance on quantum phase classification tasks while maintaining interpretability via topos-theoretic invariants.
A Topos-Theoretic Bridge for Non-invertible Symmetry	arXiv:24XX.XXXXX Categories: quant-ph, math-ph, hep-th First Posted: 2025-MM-DD Version: v1	Preprint (arXiv) Submitted to: JHEP	Non-invertible Symmetry, Topos Theory, Quantum Field Theory, Topological Quantum Systems	We propose a topos-theoretic framework for describing non-invertible symmetries in quantum field theory, extending the categorical approach to include sheaf-theoretic representations of symmetry defects. Our construction unifies previous results on non-invertible duality and topological order, providing a rigorous mathematical foundation for analyzing symmetry-protected topological phases in higher-dimensional quantum systems.