# Publications

A Mathematical Picture Language Project. 2019 ICCM Conference Proceedings. In Press.

. Levin-Wen models and reflection positivity. Expositiones Mathematicae, a special issue dedicated to Dick Kadison [Internet]. In Press. arXiv Version

. The Grothendieck Ring of a Family of Spherical Categories. [Internet]. Submitted. arXiv VersionAbstract

. Yang-Baxter relation planar algebras. [Internet]. Submitted. arXiv Version

. Antisymmetric characters and Fourier duality. [Internet]. Submitted. arXiv Version

. Quantized Graphs and Quantum Error Correction. [Internet]. Submitted. arXiv Version

. Fusion Bialgebras and Fourier Analysis. [Internet]. Submitted. arXiv Version

. Universal Quantum Computation by a Single Photon. [Internet]. Submitted. arXiv Version

. . Quantum Fourier Analysis. PNAS [Internet]. 2020. Published Version Online

. Non-Commutative Renyi entropic uncertainty principles. Science China Mathematics [Internet]. 2020. Published Version Online

. De Finetti theorems for braided parafermions. Communications in Mathematical Physics [Internet]. 2020;373 :435-456. Published Version Online

. Lifting shadings on symmetrically self-dual subfactor planar algebras. Contemporary Mathematics [Internet]. 2020;747. Published Version OnlineAbstract

. An angle between intermediate subfactors and its rigidity. Transactions of the AMS [Internet]. 2019;371 : 5973-5991. Publisher's Version Online

. Quon language: surface algebras and Fourier duality. Communications in Mathematical Physics [Internet]. 2019;366 :865-894. Publisher's Version OnlineAbstract

. Block maps and Fourier analysis. Science China Mathematics [Internet]. 2019;62 (8) :1585-1614. publisher's Version Onlinen

. Jones-Wassermann subfactors for modular tensor categories. Advances in Mathematics [Internet]. 2019;355 (15) :106775. Published Version Online

. Classification of Thurston-Relation subfactor planar algebras . Quantum Topology [Internet]. 2019;10 (3) :441-480. Published Version OnlineAbstract

. Extremal pairs of Young’s inequality for Kac algebras. Pacific Journal of Mathemati [Internet]. 2018;295 (1) :103-121. Publisher's Version

. Mathematical picture language program. PNAS [Internet]. 2018;115 (1) :81-86. Publisher's VersionAbstract

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