Publications
(since 1997),
MathSciNet, ArXiv.org
and
Google Scholar
- On symmetric representations of SL2(Z)
(with Y. Wang and S. Wilson), Proceedings of the American Mathematical Society, 151 (2023) no. 4, 1415--1431 arXiv:2203.15701.
- Reconstruction of modular data from SL2(Z) representations
(with E. Rowell, Z. Wang, X.-G. Wen), Comm. Math. Phys. (2023) arXiv:2203.14829.
- Modular quasi-Hopf algebras and groups with one involution
(with G. Mason), Journal of Pure and Applied Algebra
227 (2023), no. 5, 107264 arXiv:2203.05500 .
- Orbifolds and minimal modular extensions
(with C. Dong and L. Ren), arXiv:2108.05225 .
- Modular categories with transitive Galois actions
(with Y. Wang, Q. Zhang), Comm. Math. Phys. 390 (2022), 1271-1310, arXiv:2007.01366.
- Vertex operator superalgebras and the 16-fold way
(with C. Dong and L. Ren), Trans. Amer. Math. Soc. 374 (2021), 7779-7810 arXiv:2001.00365 .
- Higher central charges and Witt groups
(with E. Rowell, Y. Wang, Q. Zhang), Advances in Mathematics 404 (2022) 108388 arXiv:2002.03570.
- Higher Gauss sums of modular categories
(with A. Schopieray, Y. Wang), Selecta Math. (N.S.) 25 (2019), no. 4, Paper No. 53, 32 pp arXiv:1812.11234 .
- Hopf algebras of prime dimension in positive characteristic
(with X. Wang), Bull. London Math. Soc. (2019), doi:10.1112/blms.12242, arXiv:1810.00476.
- Nonsemisimple Hopf algebras of dimension 8p with the Chevalley property
(with M.Beattie, G.Garcia and J.Roat), Tensor categories and Hopf algebras, Contemp. Math., 728 , 49--66, Amer. Math. Soc., RI, 2019 arXiv:1803.00271.
- Classification of super-modular categories by rank
(with P. Bruillard, C. Galindo, J. Plavnik, E. Rowell and Z. Wang), Algebr. Represent. Theory 23 (2020), no. 3, 795--809 arXiv:1705.05293.
- Generalized twisted quantum doubles of a finite group and rational orbifolds
(with G. Mason), Bulletin of the Institute of Mathematics Academia Sinica (New Series) 14 (2019), no. 1, 1--13, doi: 10.21915/BIMAS.2019101, arXiv:1703.06489.
- Gauge
invariants from the powers of antipodes (with C.
Negron), Pacific J. Math. 291 (2017), no. 2, 439--460. arXiv:1609.00994.
- Fermionic Modular Categories and the 16-fold Way (with P. Bruillard ,
C. Galindo, T. Hagge, J. Plavnik,
E. Rowell and Z.
Wang), J. Math. Phys. 58 (2017), no. 4, 041704. arXiv:1603.09294.
- On
classification of modular categories by rank (with
P. Bruillard ,
E. Rowelll and Z.
Wang), Int. Math. Res. Notices (2016) no.24, 7546--7588, doi: 10.1093/imrn/rnw020, arXiv:1507.05139.
- On
the Classification of Weakly Integral Modular Categories (with P. Bruillard ,
C. Galindo, J. Plavnik,
E. Rowell, and
Z.
Wang),
Journal of Pure and Applied Algebra, 220
(2016) no.6, 2364--2388, arXiv:1411.2313.
- Rank-Finiteness
for Modular Categories (with
P. Bruillard ,
E. Rowell and
Z.
Wang),
Journal of the
American Mathematical Society, 29 (2016), no.3, 857--881, doi:
10.1090/jams/842, arXiv:1310.7050.
- Congruence
property in Conformal Field Theory (with C. Dong and X. Lin), Algebra &
Number Theory, 9 (2015), no. 9, 2121--2166, arXiv:1201.6644.
- Cleft
Extensions and Quotients of Twisted Quantum Doubles (with G. Mason), Developments and
retrospectives in Lie theory, 229–246, Dev. Math.,
38, Springer, Cham, 2014, arXiv:1404.2016.
- On Total Frobenius-Schur Indicators (with G.Liu), Recent
advances in representation theory, quantum groups, algebraic geometry, and
related topics, 193--213, Contemp. Math., 623, Amer. Math. Soc., Providence, RI, 2014 arXiv:1212.1435.
- On the trace of
the antipode and higher indicators (with Y. Kashina and S.
Montgomery), Israel Journal of Mathematics, 188
(2012), no.1, 57--89.
- A Note on Frobenius-Schur indicators, Proceedings of the International Conference on Algebra 2010,
p454-560, World Scientific, ISBN: 978-981-4366-30-4.
- On Hopf algebras of dimension 4p, (with Y.-L.
Cheng), J. Algebra, 328 (2011), no.1, 399--419
(doi:10.1016/j.jalgebra.2010.08.029).
- Congruence
Subgroups and Generalized Frobenius-Schur Indicators (with P. Schauenburg), Comm. Math. Phys. 300 (2010), no. 1, 1--46.
-
Hopf algebras of dimension 2p2 (with M. Hilgemann), Journal of London
Mathematical Society, 80 (2009) no. 2, 295--310.
- Hopf algebras of dimension pq,
II,
Journal of Algebra, 319(2008), no. 7, 2772--2788 (doi:10.1016/j.jalgebra.2007.08.003).
- On
Radicals of Module Coalgebras (with Y. Chen and K.-P. Shum), Journal of Pure and
Applied Algebra, 212 (2008), no. 1, 157--167 (doi:10.1016/j.jpaa.2007.05.009).
- Frobenius-Schur Indicators
and Exponents of Spherical Categories (with P. Schauenburg), Advances in
Mathematics, 211 (2007), no. 1, 34--71.
- On the Gauge Equivalence of Twisted Quantum Doubles of Elementary
Abelian and Extra-Special 2-Groups (with C. Goff and
G. Mason), Journal of Algebra, 312
(2007), no. 2, 849--875.
- Central Invariants and Higher Indicators for Semisimple
Quasi-Hopf Algebras (with P. Schauenburg) Transactions of the American Mathematical
Society, 360 (2008), 1839--1860.
- Higher
Frobenius-Schur Indicators for Pivotal Categories (with P. Schauenburg), Contemporary Mathematics 441, 63-90 (ISBN: 978-0-8218-8120-0).
- Reciprocity
for Multirestricted Stirling Numbers (with J.-Y.
Choi, L. Long, J.
D. Smith) Journal of Combinatorial Theory, Series A, 113
(2006), no. 6, 1050--1060.
- Hopf
Algebras of Dimension 2p, Proceedings of the
American Mathematical Society, 133 (2005), 2237--2242.
- Central
Invariants and Frobenius-Schur Indicators for Semisimple Quasi-Hopf Algebras,
(with G. Mason) Advances in Mathematics, 190
(2005), 161--195.
- Hopf Algebras of Dimension pq, Journal
of Algebra, 276 (2004), 399--406.
- Hopf Algebras of
Dimension p2, Hopf algebras, 193--201, Lecture Notes in
Pure and Appl. Math., 237, Dekker, New York, 2004.
- Non-Semisimple Hopf Algebras of Dimension p2,
Journal of Algebra, 255 (2002), 182--197.
- Non-commutative,
Non-cocommutative Semisimple Hopf Algebras arise from Finite Abelian Groups, Groups, Rings, Lie and Hopf
Algebras (St. John's, NF, 2001), 167--177, Math. Appl., 555, Kluwer Acad. Publ.,
Dordrecht, 2003 (ISBN: 1402012209).
- Group cohomology and gauge equivalence of some twisted quantum doubles (G. Mason), Transactions of the American Mathematical
Society, 353 (2001), 3465-3509.
- Classification of the Lie bialgebra structures on the
Witt and Virasoro algebras (with E.
J. Taft), Journal of Pure and Applied Algebra, 151 (2000), 67--88.
-
On the projectivity of module coalgebras, Proceedings of the
American Mathematical Society, 126 (1998), 3191--3198.
- Quantum
convolution of linearly recursive sequences (with
Earl Taft), Journal of Algebra, 198 (1997), 101--119.