Ph.D's Degree : Zhenghan Wang Master's Degree : Yanghyun Byun
Universal quantum computation with weakly integral anyons , (with Shawn X. Cui; Zhenghan Wang) arXiv:1401.7096, submitted. Classification of integral modular categories of Frobenius-Perron dimension $pq^4$ and $p^2q^2$ , (with P. Bruillard; C. Galindo; Y. Kashina; D. Naidu; S. Natale; J. Plavnik; E. C. Rowell) arXiv:1303.4748, Canad. J. Math. Vol.57(4), 2014 pp.721--734. From ribbon categories to generalized Yang-Baxter operators and link invariants (After Kitaev and Wang) , arXiv:1205.4005 , Internat. J. Math. 24 (2013), no. 1, 1250126, 12 pp. Invariants of links from the generalized Yang-Baxter equation , arXiv:1202.3945 , J. Knot Theory Ramifications 22 (2013), no. 10, 1350057, 13 pp. Generalized and quasi-localizations of braid group representations , (with Cesar Galindo and Eric C. Rowell) arXiv:1105.5048, Int. Math. Res. Not. IMRN 2013, no. 3, 693--731. On the classification of the Grothendieck rings of non-self-dual modular categories , (with Eric C. Rowell) arXiv:0907.1051, J. Algebra 324 (2010), 1000--1015. On symmetrization of 6j-symbols and Levin-Wen Hamiltonian , arXiv:0907.2204, preprint, 2009. Some non-braided fusion categories of rank 3 , (with Tobias J.Hagge ) arXiv:0704.0208v2, Commun. Contemp. Math. 11 (2009), no. 4, 615--637. On exotic modular tensor categories , (with Eric C. Rowell and Zhenghan Wang) arXiv:0710.5761v2, Commun. Contemp. Math. 10 (2008), suppl. 1, 1049--1074. Ph.D's Thesis : Classification and applications of tensor categories , Indiana University, 2008. Master's Thesis : On the CW structure for the loop space of a sphere , Hanyang University, Korea, 2002.
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