Publications
and Preprints
of Eric C. Rowell
Back
to homepage. Clicking on the journal title will take you to the
published
version of the paper, (via doi) which is optimal. The papers are
ordered
by submission date, not publication date.
[53.] Braided zesting and applications. with C. Delaney, C. Galindo, J. Plavnik and Q. Zhang
[52.] Higher central charges and Witt groups. with S.-H. Ng, Y. Wang and Q. Zhang
[51.] Symplectic level-rank duality via tensor categories with V. Ostrik and M. Sun
to appear in J. Lie Theory.
[50.] On realizing modular data. with P. Bonderson and Z. Wang
to appear in J. Math. Sci. Univ. Tokyo
[49.] [On] Classification of super-modular categories [of rank 8]. with P. Bruillard, J. Plavnik and Q. Zhang.
to appear in J. Algebra Appl.
[48.] Braid group representations from twisted tensor products of algebras with A. Kimball, P. Gustafson and Q. Zhang.
to appear in Peking Math. J.
[47.] Rank-finiteness for G-crossed braided fusion categories. with C. Jones, S. Morrison and D. Nikshych
to appear in Transform. Groups.
[46.] Integral metaplectic modular categories. with A. Deaton, P. Gustafson, L. Mavrakis, S. Poltoratski, S. Timmerman, B. Warren, and Q. Zhang
to appear in J. Knot Theory Ramifications
[45.] Representations of the Necklace Braid Group: Topological and Combinatorial Approaches. with A. Bullivant, A. Kimball and P. Martin
to appear in Comm. Math. Phys.
[44.]
Metaplectic categories, gauging and property F. with
P. Gustafson and Y. Ruan
to appear in Tohoku Math. J.
(8/18)
arXiv:1808.00698.
[43.] Review of: Tensor categories by Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, and Victor Ostrik.
Bull. Amer. Math. Soc. 55, (2018), no. 4, 545-551.
(5/18) DOI[42.] On invariants of modular categories beyond modular data. with P. Bonderson, C. Delaney, C. Galindo, A. Tran and Z. Wang
to appear in J. Pure Appl. Algebra
[41.] On acyclic anyon models. with C. Galindo and Z. Wang
Quantum Inf. Proc. 17 (2018), 245.
[40.] Dimension as a quantum statistic and the classification of metaplectic categories. with P. Bruillard, P. Gustafson and J. Plavnik
to appear in Contemp. Math.
[39.] Mathematics of topological quantum computing. with Z. Wang.
Bull. Amer. Math. Soc.
55, (2018), no. 2,
183--238.
[38.] Classification of super-modular categories by rank. with P. Bruillard, C. Galindo, S.-H. Ng, J. Plavnik and Z. Wang.
to appear in Algebr. Represent. Theory.
(5/17)
arXiv:1705.05293
[37.] Congruence subgroups and super-modular categories. with P. Bonderson, Z. Wang and Q. Zhang.
Pacific J. Math.
296 (2018), No. 2,
257–270.
(4/17) arXiv:1704.02041
[36.] Modular Categories of Dimension p^3m with m Square-Free. with Paul Bruillard and Julia Plavnik.
Proc. Amer. Math. Soc.
147 (2019) no. 1, 21-34.
(9/16) arXiv:1609.04896
[35.] Local unitary representations of the braid group and their applications to quantum computing. with Colleen Delaney and Zhenghan Wang.
Rev. Colombiana Mat. 50 (2016) no. 2, 207-272.
(3/16)
arXiv:1604.06429
[34.]
Ferminonic modular categories and the 16-fold way. with Paul Bruillard, Cesar
Galindo, Tobias Hagge, Siu-Hung Ng, Julia Plavnik and Zhenghan Wang
J. Math. Phys. 58
(2017), 041704.
(3/16)
ArXiv:1603.09294
[33.] Classification of metaplectic modular categories with Eddy Ardonne, Meng Cheng and Zhenghan Wang
Journal
of Algebra 466 (2016)
141-146.
(1/16) ArXiv:1601.05460
[32.] An invitation to the mathematics of topological quantum computation
Journal
of Physics:
Conference Series 698 (2016)
012012.
(12/15)
PDF | arXiv:1601.05288
[31.] Degeneracy and non-abelian statistics with Z. Wang.
Phys. Rev. A 93 (2016), 030102(R)
(8/15)
arXiv:1508.04793.
[30.] Low-dimensional representations of the three component loop braid group with P. Bruillard, L. Chang, S.-M. Hong, J. Y. Plavnik, M. Y. Sun
J. Math. Phys. 56, no. 11 (2015), 11707.
(8/15)
arXiv:1508.00005
[29.] On classification of modular categories by rank with Paul Bruillard, Siu-Hung Ng and Zhenghan Wang
Int. Math. Res. Not. (2016) 2016 no.
24, 7546-7588.
(7/15) PDF|
arXiv:1507.05139
[28.] On Local Representations of the Loop Braid Group with Zoltan Kadar, Paul Martin and Zhenghan Wang
Glasgow Math. J. 59, no 2 (2017) 359-378.
(11/14) arXiv:1411.3768[27.] On the Classification of Weakly Integral Modular Categories with Paul Bruillard, Cesar Galindo, Siu-Hung Ng, Julia Plavnik and Zhenghan Wang
J. Pure Appl. Algebra 220, no. 6 (2016), 2364-2388
(11/14) arXiv:1411.2313
[26.] Parameter-dependent Gaussian (z,N)-generalized Yang-Baxter operators
Quantum
Inf. Comp. 16 (2016), no. 1&2, 0105-0114.
(10/14) arXiv:1410.8863
[25.]
SO(N)2 Braid Group Representations are Gaussian with
Hans Wenzl
Quantum Topol. 8 (2017) no. 1, 1-33.
(1/14)
arXiv:1401.5329
[24.]
Braid Representations from Unitary Braided Vector Spaces with
Cesar Galindo
J. Math. Phys. 55,
061702 (2014)
(12/13)
arXiv:1312.5557
[23.]
Rank-Finiteness for Modular
Categories with
Paul Bruillard, Siu-Hung Ng and Zhenghan Wang
J. Amer. Math. Soc. 29 (2016) no. 3, 857-881.
(3/15)
arXiv:1310.7050
[22.] Classification of integral modular categories of Frobenius-Perron dimension pq^4 and p^2q^2 with Paul Bruillard, Cesar Galindo, Seung-Moon Hong, Yevgenia Kashina, Deepak Naidu, Sonia Natale, Julia Yael Plavnik
Canad. Math. Bull.
(2014) 57 721-734.
(3/13)
arXiv:1303.4748
[21.] Generalized and quasi-localization of braid group representations with Cesar Galindo and Seung-Moon Hong
Int.
Math. Res. Not. 2013
no.
3, 693-731.
(5/11) PDF | arXiv:1105.5048
[20.]
Modular categories, integrality and Egyptian fractions
with
Paul Bruillard
Proc.
Amer.
Math. Soc. 140
(2012),
1141-1150
(12/10) PDF| arXiv:1012.0814
[19.] Localization of unitary braid group representations with
Zhenghan Wang.
Comm. Math. Phys. 11 311 (2012) no. 3 595--615.
(9/10) PDF | arXiv:1009.0241
[18.] A quaternionic braid representation (after Goldschmidt and Jones).
Quantum Topol. 2 (2011), 173--182.
(6/10)PDF | arXiv:1006.4808
[17.] Braid representations from quantum groups of exceptional Lie type.
Rev. Un. Mat.
Argentina 51 (2010) no. 1, 165-175.
(3/10) PDF|
arXiv:1004.4133
[16.]
On the classification of the Grothendieck semirings of
non-self-dual modular categories with
Seung.-Moon Hong
and an
appendix by Victor Ostrik.
J. Algebra 324
(2010) 1000-1015.
(7/09)
PDF |
arXiv:0907.1051 | Maple
13 worksheet1
worksheet2
worksheet3
(.mws
files).| Output worksheet1
worksheet2
worksheet3
(.pdf
files).
[15.]
A finiteness property
for braided fusion categories
with Deepak Naidu.
Algebr.
Represent.
Theory 15 (2011) no. 5, 837-855.
(3/09)
PDF
| arXiv:0903.4157
[14.]
Finite linear
quotients of B3 of low dimension with
Imre Tuba.
J. Knot
Theory Ramifications 19
(2010)
no. 5 587-600.
[13.]
Unitary braid
representations with finite image
with Michael J.
Larsen.
Algebr. Geom.
Topol.
8 (2008) no. 4, 2063-2079.
[12.]
Two paradigms for
topological quantum computation.
Contemp.
Math.
482,
pp. 165-178, AMS, Providence, RI, 2009.
Full
paper (3/08)
arXiv:math.QA
0803.1258
[11.] On classification of modular tensor categories with
Richard Stong
and Zhenghan Wang.
Comm. Math.
Phys.
292 (2009) no. 2, 343- 389.
Full
paper (12/07) PDF
| arXiv: math.QA 0712.1377
[10.]
On exotic modular tensor categories with
Seung-moon Hong and
Zhenghan Wang.
Commun.
Contemp. Math.
10 (2008), suppl. 1, 1049-1074.
Full paper (10/07): arXiv: math.GT 0710.5761
[9.]
Unitarizablity of
premodular categories
J. Pure
Appl. Algebra. 212
(2008),
no. 8 1878-1887.
Full paper (10/07): arXiv: math.QA 0710.1621
[8.]
Extraspecial
Two-Groups, Generalized Yang-Baxter Equations and Braiding Quantum
Gates. with
Yong Zhang, Yong-Shi Wu,
and
Mo-Lin Ge.
Quantum
Inf. Comput. 10
(2010)
no. 7 & 8 0685-0702.
Full paper (4/10) PDF:
arXiv: quant-ph/0706.1761v2
[7].
Braid representations from twisted quantum
doubles of finite groups with Pavel Etingof and Sarah Witherspoon.
Pacific
J.
Math. 234 no. 1 (2008) 33-42.
Full paper (3/07):
arXiv: math.QA/0703274
[6].
An algebra-level version of a link-polynomial identity
of Lickorish with
Michael
Larsen.
Math.
Proc. Cambridge Philos. Soc. 144 (2008), no. 3,
623-638.
Full paper (5/06): arXiv:
math.QA/0605455
[5].
The N-eigenvalue problem and two applications with
Michael Larsen
and Zhenghan Wang.
Int. Math.
Res. Not. 2005 no. 64 (2005) 3987-4018.
Full
paper (11/05) PDF
| arXiv
math.RT/0506025
[4].
Extraspecial 2-groups and images of braid group
representations with
Jennifer
(Franko) Vasquez and Zhenghan
Wang.
J. Knot Theory
Ramifications 15 no. 4 (2006) 413-428.
Full
paper (3/05): PDF | arXiv math.RT/0503435
[3].
From quantum groups to unitary modular tensor categories
Contemp. Math. 413, 215-230, Amer. Math. Soc,.
Providence, RI
2006.
Full
paper (1/06): PDF
| arXiv
math.QA/0503226
[2].
A note on tensor categories of Lie type
E9
Journal of
Algebra
284 no. 1 (2005), 296-309.
Full
paper (6/7/04): PDF
| arXiv:math.RT/0406122
[1].
On
a family on non-unitarizable ribbon
categories
Mathematische
Zeitschrift
250 no. 4 (2005), 745-774.
Full
paper (3/12/04): PDF | arXiv: math.QA/0403217
Thesis
and other preprints:
Generating
functions for ranks of pre-modular categories.
Subsumed.
Abstract:
We derive generating functions for the
ranks of pre-modular categories associated with quantum groups at roots
of
unity.
Full
paper (8/05): arXiv
math.QA/0509457
On
tensor categories arising from quantum groups and BMW-algebras
at odd roots of unity.
PhD
Thesis, University of
California, San Diego, 2003.
Abstract:
Most of the results in my thesis are published in [1].
Full
paper (5/29/03): PDF
Last
updated after 01/19