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Xiaoting Zhang 张笑婷
Personal informaiton
Position: Tenure-track Associate Professor @ Academy for Multidisciplinary Studies, Captial Normal University
Email: xiaoting.zhang09@hotmail.com
Research interest
higher representation theory and categorification
Preprints
- Finitary birepresentations of finitary bicategories, with M. Mackaay, V. Mazorchuk, V. Miemietz and D. Tubbenhauer. arXiv:2008.01658.
- Adjunction in the absence of identity, with H. Ko and V. Mazorchuk. arXiv:2003.04610.
- Quantum (dual) Grassmann superalgebra as U_q(gl(m,n))-module algebra and beyond, with G. Feng, N. Hu, and M. Zhang. arXiv:1909.10276.
- 2-representations of Soergel bimodules, with M. Mackaay, V. Mazorchuk, V. Miemietz and D. Tubbenhauer. arXiv:1906.11468.
Papers
- 2-categories of symmetric bimodules and their 2-representations, with V. Mazorchuk and V. Miemietz, Pacific J. Math. 306 (2020), no. 2, 645–678. (arXiv:1904.05798)
- Extreme representations of semirings, with C. Chen, B. Dubsky, H. Jonsson, V. Mazorchuk, E. Westin and J. Zimmermann, Serdica Math. J. 44 (2018), no. 3-4, 365–412. (arXiv:1806.06501)
- Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations, with M. Mackaay, V. Mazorchuk and V. Miemietz, to appear in J. Inst. Math. Jussieu. (arXiv:1802.02078)
- Indecomposable manipulations with simple modules in category O, with K. Coulembier and V. Mazorchuk, Math. Res. Lett. 26 (2019), no. 2, 447–499. (arXiv:1709.00547)
- Pyramids and 2-representations, with V. Mazorchuk and V. Miemietz, Rev. Mat. Iberoam. 36 (2020), no. 2, 387–405. (arXiv:1705.03174)
- Bimodules over uniformly oriented An quivers with radical square zero, with V. Mazorchuk, Kyoto J. Math. 60 (2020), no. 3, 965–995. (arXiv:1703.08377)
- Characterisation and applications of k-split bimodules, with V. Mazorchuk and V. Miemietz,
to appear in Math. Scand. 124 (2019), no. 2, 161-178. (arXiv:1701.03025) - Simple transitive 2-representations for two non-fiat 2-categories of projective functors, with V. Mazorchuk, Ukr. Mat. Zh. 70 (2018), no. 12, 1625-1649. (arXiv:1601.00097)
- Simple transitive 2-representations and Drinfeld center for some finitary 2-categories, J. Pure Appl. Algebra 222 (2018), no. 1, 97-130. (arXiv:1506.02402)
- Duflo involutions for 2-categories associated to tree quivers, J. Algebra Appl. 15 (2016), no. 3, 1650041, 25 pp. (arXiv:1501.03052)