HR job title
- Professor
- Contact Info
- 1 8123451735
- Websites
- ORCiD
- 0000-0002-2338-9819
Rowell, Eric Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
My research focuses on topological phases of matter, their mathematical models and applications to quantum information.
- Overview
- Publications
- Research
- Teaching
- Works By Students
- Background
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Overview
Publications
selected publications
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academic article
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Feng, Z., Ming, S., & Rowell, E. C.
(2023).
Reconstructing Braided Subcategories of SU(N) k. Journal of Algebra.
635, 436-458.
-
Ng, S., Rowell, E. C., Wang, Z., & Wen, X.
(2023).
Reconstruction of Modular Data from SL2(Z) Representations. Communications in Mathematical Physics.
402(3), 1-81.
-
Ng, S., Rowell, E. C., Wang, Y., & Zhang, Q.
(2022).
Higher central charges and Witt groups. Advances in Mathematics.
404, 108388-108388.
-
Rowell, E. C., Ruan, Y., & Wang, Y.
(2022).
The Witt classes of so(2r)(2r). Communications in Algebra.
50(12), 5246-5265.
-
Jones, C., Morrison, S., Nikshych, D., & Rowell, E. C.
(2021).
RANK-FINITENESS FOR G-CROSSED BRAIDED FUSION CATEGORIES. Transformation Groups.
26(3), 915-927.
-
Delaney, C., Galindo, C., Plavnik, J., Rowell, E. C., & Zhang, Q.
(2021).
Braided Zesting and Its Applications. Communications in Mathematical Physics.
386(1), 1-55.
-
Bruillard, P., Plavnik, J., Rowell, E. C., & Zhang, Q.
(2021).
On classification of super-modular categories of rank 8. Journal of Algebra and Its Applications.
20(1), 2140017-2140017.
-
Bruillard, P., Gustafson, P., Plavnik, J. Y., & Rowell, E. C.
(2020).
Dimension as a quantum statistic and the classification of metaplectic categories. Contemporary Mathematics.
747, 89-113.
-
Gustafson, P., Kimball, A., Rowell, E. C., & Zhang, Q.
(2020).
Braid Group Representations from Twisted Tensor Products of Algebras. Peking Mathematical Journal.
3(2), 103-130.
-
Gustafson, P., Rowell, E. C., & Ruan, Y.
(2020).
METAPLECTIC CATEGORIES, GAUGING AND PROPERTY F. TOHOKU MATHEMATICAL JOURNAL.
72(3), 411-424.
-
Bruillard, P., Galindo, C., Ng, S., Plavnik, J. Y., Rowell, E. C., & Wang, Z.
(2020).
Classification of Super-Modular Categories by Rank. Algebras and Representation Theory.
23(3), 795-809.
-
Deaton, A., Gustafson, P., Mavrakis, L., Rowell, E. C., Poltoratski, S., Timmerman, S., Warren, B., & Zhang, Q.
(2020).
Integral metaplectic modular categories. Journal of Knot Theory and Its Ramifications.
29(5), 2050032-2050032.
-
Bullivant, A., Kimball, A., Martin, P., & Rowell, E. C.
(2020).
Representations of the Necklace Braid Group: Topological and Combinatorial Approaches. Communications in Mathematical Physics.
375(2), 1223-1247.
-
Ostrik, V., Rowell, E. C., & Sun, M.
(2020).
Symplectic Level-Rank Duality via Tensor Categories. JOURNAL OF LIE THEORY.
30(4), 909-924.
-
Bruillard, P., Plavnik, J. Y., & Rowell, E. C.
(2019).
MODULAR CATEGORIES OF DIMENSION p(3)m WITH m SQUARE-FREE. Proceedings of the American Mathematical Society.
147(1), 21-34.
-
Bonderson, P., Delaney, C., Galindo, C., Rowell, E. C., Tran, A., & Wang, Z.
(2019).
On invariants of modular categories beyond modular data. Journal of Pure and Applied Algebra.
223(9), 4065-4088.
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Galindo, C., Rowell, E., & Wang, Z.
(2018).
On acyclic anyon models. Quantum Information Processing.
17(9), 245.
-
Rowell, E. C.
(2018).
Book Review: Tensor categories. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
55(4), 545-551.
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Rowell, E. C., & Wang, Z.
(2018).
MATHEMATICS OF TOPOLOGICAL QUANTUM COMPUTING. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
55(2), 183-238.
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Bonderson, P., Rowell, E. C., Wang, Z., & Zhang, Q.
(2018).
CONGRUENCE SUBGROUPS AND SUPER-MODULAR CATEGORIES. PACIFIC JOURNAL OF MATHEMATICS.
296(2), 257-270.
-
Kadar, Z., Martin, P., Rowell, E., & Wang, Z.
(2017).
LOCAL REPRESENTATIONS OF THE LOOP BRAID GROUP. Glasgow Mathematical Journal.
59(2), 359-378.
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Bruillard, P., Galindo, C., Hagge, T., Ng, S., Plavnik, J. Y., Rowell, E. C., & Wang, Z.
(2017).
Fermionic modular categories and the 16-fold way. Journal of Mathematical Physics.
58(4), 041704-041704.
-
Rowell, E. C., & Wenzl, H.
(2017).
SO(N)(2) braid group representations are Gaussian. Quantum Topology.
8(1), 1-33.
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Bruillard, P., Ng, S., Rowell, E. C., & Wang, Z.
(2016).
On Classification of Modular Categories by Rank. International Mathematics Research Notices.
2016(24), 7546-7588.
-
Ardonne, E., Cheng, M., Rowell, E. C., & Wang, Z.
(2016).
Classification of metaplectic modular categories. Journal of Algebra.
466, 141-146.
-
Bruillard, P., Ng, S., Rowell, E. C., & Wang, Z.
(2016).
RANK-FINITENESS FOR MODULAR CATEGORIES. Journal of the American Mathematical Society.
29(3), 857-881.
-
Bruillard, P., Galindo, C., Ng, S., Plavnik, J. Y., Rowell, E. C., & Wang, Z.
(2016).
On the classification of weakly integral modular categories. Journal of Pure and Applied Algebra.
220(6), 2364-2388.
-
Rowell, E. C., & Wang, Z.
(2016).
Degeneracy and non-Abelian statistics. Physical Review A (PRA).
93(3), 030102.
-
Rowell, E. C.
(2016).
PARAMETER-DEPENDENT GAUSSIAN (N, z)-GENERALIZED YANG-BAXTER OPERATORS. Quantum Information and Computation.
16(1-2), 105-114.
-
Rowell, E. C., & Wang, Z.
(2016).
Degeneracy and non-Abelian statistics. Physical Review A (PRA).
93(3),
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Delaney, C., Rowell, E. C., & Wang, Z.
(2016).
Local unitary representations of the braid group and their applications to quantum computing. Revista Colombiana de Matemáticas.
50(2), 211-276.
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Bruillard, P., Chang, L., Hong, S., Plavnik, J. Y., Rowell, E. C., & Sun, M. Y.
(2015).
Low-dimensional representations of the three component loop braid group. Journal of Mathematical Physics.
56(11), 111707-111707.
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Bruillard, P., Galindo, C., Hong, S., Kashina, Y., Naidu, D., Natale, S., Yael Plavnik, J., & Rowell, E. C.
(2014).
Classification of Integral Modular Categories of Frobenius-Perron Dimension pq(4) and P(2)q(2). Canadian Mathematical Bulletin.
57(4), 721-734.
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Galindo, C., & Rowell, E. C.
(2014).
Braid representations from unitary braided vector spaces. Journal of Mathematical Physics.
55(6), 061702-061702.
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Galindo, C., Hong, S., & Rowell, E. C.
(2013).
Generalized and Quasi-Localizations of Braid Group Representations. International Mathematics Research Notices.
2013(3), 693-731.
-
Rowell, E. C., & Wang, Z.
(2012).
Localization of Unitary Braid Group Representations. 311(3), 595-615.
-
Bruillard, P., & Rowell, E. C.
(2012).
MODULAR CATEGORIES, INTEGRALITY AND EGYPTIAN FRACTIONS. Proceedings of the American Mathematical Society.
140(4), 1141-1150.
-
Naidu, D., & Rowell, E. C.
(2011).
A Finiteness Property for Braided Fusion Categories. Algebras and Representation Theory.
14(5), 837-855.
-
Rowell, E. C.
(2011).
A quaternionic braid representation (after Goldschmidt and Jones). Quantum Topology.
2(2), 173-182.
-
Rowell, E. C.
(2010).
BRAID REPRESENTATIONS FROM QUANTUM GROUPS OF EXCEPTIONAL LIE TYPE. REVISTA DE LA UNION MATEMATICA ARGENTINA.
51(1), 165-175.
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Rowell, E. C., Zhang, Y., Wu, Y., & Ge, M.
(2010).
EXTRASPECIAL TWO-GROUPS, GENERALIZED YANG-BAXTER EQUATIONS AND BRAIDING QUANTUM GATES. Quantum Information and Computation.
10(7-8), 685-702.
-
Rowell, E. C., & Tuba, I.
(2010).
FINITE LINEAR QUOTIENTS OF B-3 OF LOW DIMENSION. Journal of Knot Theory and Its Ramifications.
19(5), 587-600.
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Hong, S., & Rowell, E.
(2010).
On the classification of the Grothendieck rings of non-self-dual modular categories. Journal of Algebra.
324(5), 1000-1015.
-
Rowell, E., Stong, R., & Wang, Z.
(2009).
On Classification of Modular Tensor Categories. Communications in Mathematical Physics.
292(2), 343-389.
-
HONG, S., ROWELL, E., & WANG, Z.
(2008).
ON EXOTIC MODULAR TENSOR CATEGORIES. Communications in Contemporary Mathematics.
10(supp01), 1049-1074.
-
Larsen, M., & Rowell, E.
(2008).
Unitary braid representations with finite image. Algebraic and Geometric Topology.
8(4), 2063-2079.
-
Rowell, E. C.
(2008).
Unitarizability of premodular categories. Journal of Pure and Applied Algebra.
212(8), 1878-1887.
-
Larsen, M. J., & Rowell, E. C.
(2008).
An algebra-level version of a link-polynomial identity of Lickorish. Cambridge Philosophical Society: Mathematical Proceedings.
144(3), 623-638.
-
Etingof, P., Rowell, E., & Witherspoon, S.
(2008).
Braid group representations from twisted quantum doubles of finite groups. PACIFIC JOURNAL OF MATHEMATICS.
234(1), 33-41.
-
Franko, J. M., Rowell, E. C., & Wang, Z.
(2006).
Extraspecial 2-groups and images of braid group representations. Journal of Knot Theory and Its Ramifications.
15(4), 413-427.
-
Larsen, M., Rowell, E., & Wang, Z.
(2005).
The N-eigenvalue problem and two applications. International Mathematics Research Notices.
2005(64), 3987-3987.
-
Rowell, E. C.
(2005).
On a family of non-unitarizable ribbon categories. Mathematische Zeitschrift.
250(4), 745-774.
-
Rowell, E. C.
(2005).
A note on tensor categories of Lie type E-9. Journal of Algebra.
284(1), 296-309.
-
Larsen, M. J., Rowell, E. C., & Wang, Z. H.
(2005).
The Nu-eigenvalue problem and two applications. International Mathematics Research Notices.
2005(64), 3987-4018.
-
Feng, Z., Ming, S., & Rowell, E. C.
(2023).
Reconstructing Braided Subcategories of SU(N) k. Journal of Algebra.
635, 436-458.
-
conference paper
-
Rowell, E. C.
(2016).
An Invitation to the Mathematics of Topological Quantum Computation. Journal of Physics : Conference Series.
012012-012012.
-
Rowell, E. C.
(2009).
Two paradigms for topological quantum computation. Contemporary Mathematics.
165-177.
-
Rowell, E. C.
(2006).
From quantum groups to unitary modular tensor categories. Contemporary Mathematics.
215-230.
-
Rowell, E. C.
(2016).
An Invitation to the Mathematics of Topological Quantum Computation. Journal of Physics : Conference Series.
012012-012012.
-
institutional repository document
-
Galindo, C., Plavnik, J., & Rowell, E. C.
(2024).
Integral non-group-theoretical modular categories of dimension $p^2q^2$
-
Galindo, C., Mora, G., & Rowell, E. C.
(2023).
Braided Zestings of Verlinde Modular Categories and Their Modular Data
-
Hietarinta, J., Martin, P., & Rowell, E. C.
(2023).
Solutions to the constant Yang-Baxter equation: additive charge conservation in three dimensions
-
Ng, S., Rowell, E. C., & Wen, X.
(2023).
Classification of modular data up to rank 11
-
Rowell, E. C., Solomon, H., & Zhang, Q.
(2023).
On near-group centers and super-modular categories
-
Martin, P., Rowell, E. C., & Torzewska, F.
(2023).
Classification of charge-conserving loop braid representations
-
Delaney, C., Galindo, C., Plavnik, J., Rowell, E., & Zhang, Q.
(2022).
$G$-crossed braided zesting
-
Rowell, E. C.
(2022).
Braids, Motions and Topological Quantum Computing
-
Ng, S., Rowell, E. C., Wang, Z., & Wen, X.
(2022).
Reconstruction of modular data from $SL_2(mathbb{Z})$ representations
-
Feng, Z., Rowell, E. C., & Ming, S.
(2022).
Reconstructing Braided Subcategories of $SU(N)_k$
-
Martin, P., & Rowell, E. C.
(2021).
Classification of spin-chain braid representations
-
Rowell, E. C., Ruan, Y., & Wang, Y.
(2021).
The Witt classes of $SO(2r)_{2r}$
-
Damiani, C., Martin, P., & Rowell, E. C.
(2020).
Generalisations of Hecke algebras from Loop Braid Groups
-
Delaney, C., Galindo, C., Plavnik, J., Rowell, E. C., & Zhang, Q.
(2020).
Braided zesting and its applications
-
Ostrik, V., Rowell, E. C., & Sun, M.
(2020).
Symplectic level-rank duality via tensor categories
-
Ng, S., Rowell, E. C., Wang, Y., & Zhang, Q.
(2020).
Higher central charges and Witt groups
-
Bonderson, P., Rowell, E. C., & Wang, Z.
(2019).
On Realizing Modular Data
-
Gustafson, P., Kimball, A., Rowell, E. C., & Zhang, Q.
(2019).
Braid group representations from twisted tensor products of algebras
-
Jones, C., Morrison, S., Nikshych, D., & Rowell, E. C.
(2019).
Rank-finiteness for G-crossed braided fusion categories
-
Deaton, A., Gustafson, P., Mavrakis, L., Rowell, E. C., Poltoratski, S., Timmerman, S., Warren, B., & Zhang, Q.
(2019).
Integral Metaplectic Modular Categories
-
Bruillard, P., Plavnik, J. Y., Rowell, E. C., & Zhang, Q.
(2019).
Classification of super-modular categories
-
Bullivant, A., Kimball, A., Martin, P., & Rowell, E. C.
(2018).
Representations of the Necklace Braid Group: Topological and Combinatorial Approaches
-
Gustafson, P., Rowell, E., & Ruan, Y.
(2018).
Metaplectic Categories, Gauging and Property F
-
Bonderson, P., Delaney, C., Galindo, C., Rowell, E. C., Tran, A., & Wang, Z.
(2018).
On invariants of Modular categories beyond modular data
-
Galindo, C., Rowell, E. C., & Wang, Z.
(2018).
Acyclic anyon models, thermal anyon error corrections, and braiding universality
-
Rowell, E. C., & Wang, Z.
(2017).
Mathematics of Topological Quantum Computing
-
Bruillard, P., Galindo, C., Ng, S., Plavnik, J. Y., Rowell, E. C., & Wang, Z.
(2017).
Classification of super-modular categories by rank
-
Bonderson, P., Rowell, E. C., Zhang, Q., & Wang, Z.
(2017).
Congruence Subgroups and Super-Modular Categories
-
Bruillard, P., Gustafson, P., Plavnik, J. Y., & Rowell, E. C.
(2017).
Dimension as a quantum statistic and the classification of metaplectic categories
-
Delaney, C., Rowell, E. C., & Wang, Z.
(2016).
Local unitary representations of the braid group and their applications to quantum computing
-
Rowell, E. C.
(2016).
An Invitation to the Mathematics of Topological Quantum Computation
-
Ardonne, E., Cheng, M., Rowell, E. C., & Wang, Z.
(2016).
Classification of Metaplectic Modular Categories
-
Bruillard, P., Galindo, C., Hagge, T., Ng, S., Plavnik, J. Y., Rowell, E. C., & Wang, Z.
(2016).
Fermionic Modular Categories and the 16-fold Way
-
Bruillard, P., Plavnik, J. Y., & Rowell, E. C.
(2016).
Modular Categories of Dimension $p^3m$ with $m$ Square-Free
-
Rowell, E. C., & Wang, Z.
(2015).
Degeneracy Implies Non-abelian Statistics
-
Bruillard, P., Ng, S., Rowell, E. C., & Wang, Z.
(2015).
On classification of modular categories by rank
-
Bruillard, P., Chang, L., Hong, S., Plavnik, J. Y., Rowell, E. C., & Sun, M. Y.
(2015).
Low-dimensional representations of the three component loop braid group
-
Kadar, Z., Martin, P., Rowell, E., & Wang, Z.
(2014).
Local representations of the loop braid group
-
Bruillard, P., Galindo, C., Ng, S., Plavnik, J., Rowell, E. C., & Wang, Z.
(2014).
On the Classification of Weakly Integral Modular Categories
-
Rowell, E. C.
(2014).
Parameter-dependent Gaussian $(z,N)$-generalized Yang-Baxter operators
-
Rowell, E. C., & Wenzl, H.
(2014).
$SO(N)_2$ Braid group representations are Gaussian
-
Galindo, C., & Rowell, E. C.
(2013).
Braid Representations from Unitary Braided Vector Spaces
-
Bruillard, P., Ng, S., Rowell, E. C., & Wang, Z.
(2013).
Rank-finiteness for modular categories
-
Bruillard, P., Galindo, C., Hong, S., Kashina, Y., Naidu, D., Natale, S., Plavnik, J. Y., & Rowell, E. C.
(2013).
Classification of integral modular categories of Frobenius-Perron dimension pq^4 and p^2q^2
-
Galindo, C., Hong, S., & Rowell, E. C.
(2011).
Generalized and quasi-localizations of braid group representations
-
Bruillard, P., & Rowell, E. C.
(2010).
Modular categories, integrality and Egyptian fractions
-
Rowell, E. C., & Wang, Z.
(2010).
Localization of unitary braid group representations
-
Rowell, E. C.
(2010).
A quaternionic braid representation (after Goldschmidt and Jones)
-
Rowell, E. C.
(2010).
Braid representations from quantum groups of exceptional Lie type
-
Hong, S., & Rowell, E. C.
(2009).
On the classification of non-self-dual modular categories
-
Naidu, D., & Rowell, E. C.
(2009).
A finiteness property for braided fusion categories
-
Rowell, E. C., & Tuba, I.
(2008).
Finite Linear Quotients of $B_3$ of Low Dimension
-
Larsen, M. J., & Rowell, E. C.
(2008).
Unitary Braid Representations with Finite Image
-
Rowell, E. C.
(2008).
Two paradigms for topological quantum computation
-
Rowell, E., Stong, R., & Wang, Z.
(2007).
On classification of modular tensor categories
-
Hong, S., Rowell, E., & Wang, Z.
(2007).
On exotic modular tensor categories
-
Rowell, E. C.
(2007).
Unitarizablity of premodular categories
-
Rowell, E. C., Zhang, Y., Wu, Y., & Ge, M.
(2007).
Extraspecial Two-Groups, Generalized Yang-Baxter Equations and Braiding Quantum Gates
-
Etingof, P., Rowell, E. C., & Witherspoon, S.
(2007).
Braid group representations from twisted quantum doubles of finite groups
-
Larsen, M. J., & Rowell, E. C.
(2006).
An algebra-level version of a link-polynomial identity of Lickorish
-
Rowell, E. C.
(2005).
Generating functions for ranks of pre-modular categories
-
Larsen, M., Rowell, E. C., & Wang, Z.
(2005).
The N-eigenvalue Problem and Two Applications
-
Franko, J., Rowell, E. C., & Wang, Z.
(2005).
Extraspecial 2-groups and images of braid group representations
-
Rowell, E. C.
(2005).
From Quantum Groups to Unitary Modular Tensor Categories
-
Rowell, E. C.
(2004).
A note on tensor categories of Lie type $E_9$
-
Rowell, E. C.
(2004).
On a Family of Non-Unitarizable Ribbon Categories
-
Galindo, C., Plavnik, J., & Rowell, E. C.
(2024).
Integral non-group-theoretical modular categories of dimension $p^2q^2$
Research
principal investigator on
- FRG: cQIS: Collaborative Research: Mathematical Foundations of Topological Quantum Computation and Its Applications awarded by National Science Foundation - (Arlington, Virginia, United States) 2017 - 2020
- Collaborative Research: Mathematical Foundations of Topological Quantum Computation awarded by National Science Foundation - (Arlington, Virginia, United States) 2015 - 2017
- Topological Phases of Matter and Their Application To Quantum Computing awarded by National Science Foundation - (Arlington, Virginia, United States) 2011 - 2015
Teaching
teaching activities
- MATH220 Foundations Of Math Instructor
- MATH300 Foundations Of Math Instructor
- MATH300 Foundations Of Math Instructor
- MATH323 Hnr-linear Algebra Instructor
- MATH323 Hnr-linear Algebra Instructor
- MATH416 Modern Algebra Ii Instructor
- MATH485 Directed Studies Instructor
- MATH489 Sptp: Geom & Topology Instructor
- MATH491 Hnr-research Instructor
- MATH491 Hnr-research Instructor
- MATH653 Algebra I Instructor
- MATH662 Seminar In Algebra Instructor
- MATH684 Prof Internship Instructor
- MATH685 Directed Studies Instructor
- MATH689 Sptp: Tensor Categories Instructor
- MATH689 Sptp:top Quantum Comp Instructor
- MATH691 Research Instructor
Works By Students
chaired theses and dissertations
-
Bruillard, Paul Joseph (2013-05). On the Classification of Low-Rank Braided Fusion Categories.
Background
education and training
- Ph.D. in Mathematics, University of California, San Diego - (San Diego, California, United States) 2003
- B.A. in Mathematics, University of California, San Diego - (San Diego, California, United States) 1997
Contact
first name
- Eric
has last name
- Rowell
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- rowell@tamu.edu