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.

[66]. Integral non-group-theoretical modular categories of dimension p2q2 , with C. Galindo and J. Plavnik

ArXiv:2404.03826

[65]. Braided Zestings of Verlinde Modular Categories and Their Modular Data , with C. Galindo and G. Mora

ArXiv:2311.17255

[64]. Solutions to the constant Yang-Baxter equation: additive charge conservation in three dimensions, with J. Hietarinta and P. Martin.

arXiv:2310.03816.

[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.

arXiv:2305.09108.

[61]. Classification of charge-conserving loop braid representations, with P. Martin and F. Torzewska.

arXiv:2301.13831

[60]. G-crossed braided zesting with C. Delaney, C. Galindo, J. Plavnik and Q. Zhang

to appear in J. London Math. Soc.

arXiv:/2212.05336

[59]. Braids, Motions and Topological Quantum Computing

Encyclopedia of Condensed Matter Physics 2e

arXiv:2208.11762

[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)

arXiv:2203.14829

[57]. Reconstructing Braided Subcategories of SU(N)k with Z. Feng and S. Ming 

J. Algebra 635  436--458 (2023)

arXiv:2202.00121

[56.] Classification of spin-chain braid representations with P. Martin

arXiv:2112.04533

[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)

(05/20)  arXiv:2005.05544.

[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)

(02/20)  arXiv:2002.03570.


[51.] Symplectic level-rank duality via tensor categories with V. Ostrik and M. Sun

J. Lie Theory 30 (2020), no. 4, 909--924.

(02/20)   arXiv:2002.07744.

[50.] On realizing modular data. with P. Bonderson and Z. Wang

J. Math. Sci. Univ. Tokyo 27 (2020), no. 1, 65--79.

(10/19)  arXiv:1910.07061.

[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.

(9/19)  arXiv:1909.09843.

[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.

(6/19)  arXiv:1906.08153.


[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

(2/19)  arXiv:1902.06165.


[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

(1/19) Arxiv:1901.04462 .

[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.

(10/18)  arXiv:1810.05152.

[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

(5/18)  arXiv:1805.05736

[41.] On acyclic anyon models.  with C. Galindo and Z. Wang

Quantum Inf. Proc.  17 (2018), 245.

(1/18)  arXiv:1801.04296

[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]

(10/17) PDF | arXiv:1710.10284

[39.] Mathematics of topological quantum computing. with Z. Wang.

 Bull. Amer. Math. Soc.  55,  (2018), no. 2,  183--238.

(5/17) arXiv:1705.06206

[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.

arXiv:0806.0168

 [13.] Unitary braid representations with finite image with Michael J. Larsen.
Algebr. Geom. Topol. 8 (2008) no. 4, 2063-2079.

arXiv:0805.4222

[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