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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)