Select Publications
Journal articles
2023, 'THE EXTENDED HAAGERUP FUSION CATEGORIES', Annales Scientifiques de l'Ecole Normale Superieure, 56, pp. 589 - 664, http://dx.doi.org/10.24033/asens.2541
,2023, 'Graded extensions of generalized Haagerup categories', Pure and Applied Mathematics Quarterly, 19, pp. 2335 - 2408, http://dx.doi.org/10.4310/PAMQ.2023.v19.n5.a3
,2022, 'Drinfeld centers of fusion categories arising from generalized Haagerup subfactors', Quantum Topology, 13, pp. 593 - 668, http://dx.doi.org/10.4171/qt/167
,2020, 'Infinite Families of Potential Modular Data Related to Quadratic Categories', Communications in Mathematical Physics, 380, pp. 1091 - 1150, http://dx.doi.org/10.1007/s00220-020-03710-7
,2019, 'Fusion categories associated with subfactors with index 3 + p5', Indiana University Mathematics Journal, 68, pp. 1277 - 1325, http://dx.doi.org/10.1512/iumj.2019.68.7667
,2018, 'The Asaeda-Haagerup fusion categories', Journal fur die Reine und Angewandte Mathematik, 2018, pp. 261 - 305, http://dx.doi.org/10.1515/crelle-2015-0078
,2016, 'The brauer-picard group of the asaeda-haagerup fusion categories', Transactions of the American Mathematical Society, 368, pp. 2289 - 2331, http://dx.doi.org/10.1090/tran/6364
,2015, 'Cyclic extensions of fusion categories via the Brauer–Picard groupoid', Quantum Topology, 6, pp. 313 - 331, http://dx.doi.org/10.4171/QT/64
,2012, 'Quantum Subgroups of the Haagerup Fusion Categories', Communications in Mathematical Physics, 311, pp. 617 - 643, http://dx.doi.org/10.1007/s00220-012-1427-x
,2011, 'A quadrilateral in the Asaeda-Haagerup category', QUANTUM TOPOLOGY, 2, pp. 269 - 300, http://dx.doi.org/10.4171/QT/22
,2010, 'Strong singularity for subfactors', Bulletin of the London Mathematical Society, 42, pp. 607 - 620, http://dx.doi.org/10.1112/blms/bdp137
,2008, 'Classification of noncommuting quadrilaterals of factors', International Journal of Mathematics, 19, pp. 557 - 643, http://dx.doi.org/10.1142/S0129167X08004807
,2007, 'Forked Temperley-Lieb algebras and intermediate subfactors', Journal of Functional Analysis, 247, pp. 477 - 491, http://dx.doi.org/10.1016/j.jfa.2007.03.014
,2007, 'Intermediate subfactors with no extra structure', Journal of the American Mathematical Society, 20, pp. 219 - 265, http://dx.doi.org/10.1090/S0894-0347-06-00531-5
,Preprints
2022, Graded extensions of generalized Haagerup categories, http://dx.doi.org/10.48550/arxiv.2201.11901
,2018, The Extended Haagerup fusion categories, http://dx.doi.org/10.48550/arxiv.1810.06076
,2016, Fusion Categories Associated to Subfactors with Index $3+\sqrt{5}$, http://dx.doi.org/10.48550/arxiv.1612.07185
,2015, Existence of the $AH+2$ subfactor, http://dx.doi.org/10.48550/arxiv.1512.02493
,2015, Drinfeld centers of fusion categories arising from generalized Haagerup subfactors, http://dx.doi.org/10.48550/arxiv.1501.07679
,2015, The Asaeda-Haagerup fusion categories, http://dx.doi.org/10.48550/arxiv.1501.07324
,2012, Cyclic extensions of fusion categories via the Brauer-Picard groupoid, http://dx.doi.org/10.48550/arxiv.1211.6414
,2012, The Brauer-Picard group of the Asaeda-Haagerup fusion categories, http://dx.doi.org/10.48550/arxiv.1202.4396
,2011, Quantum subgroups of the Haagerup fusion categories, http://dx.doi.org/10.48550/arxiv.1102.2631
,2010, A quadrilateral in the Asaeda-Haagerup category, http://dx.doi.org/10.48550/arxiv.1006.2524
,2007, Classification of Noncommuting Quadrilaterals of Factors, http://dx.doi.org/10.48550/arxiv.0704.1121
,2007, Strong Singularity for Subfactors, http://dx.doi.org/10.48550/arxiv.math/0703673
,2006, Forked Temperley-Lieb Algebras and Intermediate Subfactors, http://dx.doi.org/10.48550/arxiv.math/0607335
,2004, Intermediate Subfactors with No Extra Structure, http://dx.doi.org/10.48550/arxiv.math/0412423
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