Publications
and Preprints of Eric C. Rowell
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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.
[66]. Integral
non-group-theoretical modular categories of dimension p2q2
, with C.
Galindo and J. Plavnik
Bull. Belg. Math. Soc. Simon Stevin 31 (2024) no. 4, 516--525.
[65]. Braided Zestings of Verlinde Modular Categories and Their Modular Data, with C. Galindo and G. Mora
Comm. Math.
Phys. 404:249 (2024).
[64].
Solutions to the constant Yang-Baxter equation: additive
charge conservation in three dimensions, with J. Hietarinta and P.
Martin.
Proc. R.
Soc. Lond. Ser. A Math. Phys. Eng. Sci. 480 20230810.
[63].
Classification of modular data up to rank 11, with S.-H. Ng and X.-G. Wen.
arXiv:2308.09670.
[62]. On near-group centers and super-modular categories, with H. Solomon and Q. Zhang.
to appear in
Contemp. Math.
[61]. Classification of charge-conserving loop braid representations, with P. Martin and F. Torzewska.
J.
Algebra 666 (2025) 878--931.
[60]. G-crossed braided zesting with C. Delaney, C. Galindo, J. Plavnik and Q. Zhang
J. London Math.
Soc. 109 (2024), no. 1 e12816.
[59].
Braids, Motions and Topological Quantum Computing
Encyclopedia of Condensed
Matter Physics 2e
[58]. Reconstruction of modular data from SL(2, Z) representations with S.-H. Ng, Z. Wang and X.-G. Wen
Comm.
Math. Phys. 402 2465--2545 (2023)
[57]. Reconstructing Braided Subcategories of SU(N)k with Z. Feng and S. Ming
J.
Algebra
635 436--458
(2023)
[56.] Classification of spin-chain braid representations with P. Martin
[55.] The
Witt classes of SO(2r)2r with Y.
Ruan and Y. Wang,
Communications
in Algebra, Volume 50, 2022 Issue 12
(07/21) arXiv:2107.06746.
[54.] Generalisations of Hecke Algebras from Loop Braid Groups with C. Damiani and P. Martin
Pacific
J. Math. 323 (2023), No. 1, 31--65
(08/20) arXiv:2008.04840.
[53.] Braided zesting and applications. with C. Delaney, C. Galindo, J. Plavnik and Q. Zhang
Comm. Math. Phys. 386, 1--55 (2021)[52.] Higher central charges and Witt groups. with S.-H. Ng, Y. Wang and Q. Zhang
Adv. Math.
202 (2022) (a general audience
MSRI highlights article on this work)
[51.] Symplectic level-rank duality via tensor categories with V. Ostrik and M. Sun
J. Lie
Theory 30 (2020), no. 4, 909--924.
[50.] On realizing modular data. with P. Bonderson and Z. Wang
J.
Math. Sci. Univ. Tokyo 27 (2020), no. 1, 65--79.
[49.] [On] Classification of super-modular categories of rank 8. with P. Bruillard, J. Plavnik and Q. Zhang.
J.
Algebra Appl. 20 (2021), no. 1, Paper No. 2140017, 36
pp.
[48.] Braid group representations from twisted tensor products of algebras with A. Kimball, P. Gustafson and Q. Zhang.
Peking
Math. J. 3 (2020), no. 2, 103--130.
[47.] Rank-finiteness for G-crossed braided fusion categories. with C. Jones, S. Morrison and D. Nikshych
Transform.
Groups 26 (2021), no. 3, 915--927
[46.] Integral metaplectic modular categories. with A. Deaton, P. Gustafson, L. Mavrakis, S. Poltoratski, S. Timmerman, B. Warren, and Q. Zhang
J.
Knot Theory Ramifications 29 (2020), no. 5,
2050032, 9 pp
[45.] Representations of the Necklace Braid Group: Topological and Combinatorial Approaches. with A. Bullivant, A. Kimball and P. Martin
Comm.
Math. Phys. 375 (2020), no. 2, 1223--1247.
[44.]
Metaplectic categories, gauging and property F. with P.
Gustafson and Y. Ruan
Tohoku
Math. J.(2) 72 (2020), no. 3, 411--424.
(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
J. Pure Appl. Algebra 223 (2019), no. 9,
4065--4088
[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
in Topological phases of matter and quantum
computation, 89--113, Contemp. Math., 747, Amer. Math. Soc.,
[Providence], RI, [2020]
[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.
Algebr. Represent. Theory 23 (2020), no. 3,
795--809.
(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