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On symmetric representations of 𝑆𝐿₂(ℤ)

https://doi.org/10.1090/proc/16205

Ng, Siu-Hung; Wang, Yilong; Wilson, Samuel (January 2023, Proceedings of the American Mathematical Society)

We introduce the notions of symmetric and symmetrizable representations of ${SL}_{2} <#comment/> (Z)$ . The linear representations of ${SL}_{2} <#comment/> (Z)$ arising from modular tensor categories are symmetric and have congruence kernel. Conversely, one may also reconstruct modular data from finite-dimensional symmetric, congruence representations of ${SL}_{2} <#comment/> (Z)$ . By investigating a $Z / 2 Z$ -symmetry of some Weil representations at prime power levels, we prove that all finite-dimensional congruence representations of ${SL}_{2} <#comment/> (Z)$ are symmetrizable. We also provide examples of unsymmetrizable noncongruence representations of ${SL}_{2} <#comment/> (Z)$ that are subrepresentations of a symmetric one.
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The Witt classes of so(2r)2r

https://doi.org/10.1080/00927872.2022.2083630

Rowell, Eric C.; Ruan, Yuze; Wang, Yilong (December 2022, Communications in Algebra)

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Higher central charges and Witt groups

https://doi.org/10.1016/j.aim.2022.108388

Ng, Siu-Hung; Rowell, Eric C.; Wang, Yilong; Zhang, Qing (August 2022, Advances in Mathematics)

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Modular Categories with Transitive Galois Actions

https://doi.org/10.1007/s00220-021-04287-5

Ng, Siu-Hung; Wang, Yilong; Zhang, Qing (March 2022, Communications in Mathematical Physics)

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Emissions rebound from the COVID-19 pandemic

https://doi.org/10.1038/s41558-022-01332-6

Davis, Steven J.; Liu, Zhu; Deng, Zhu; Zhu, Biqing; Ke, Piyu; Sun, Taochun; Guo, Rui; Hong, Chaopeng; Zheng, Bo; Wang, Yilong; et al (May 2022, Nature Climate Change)

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The size of the land carbon sink in China

https://doi.org/10.1038/s41586-021-04255-y

Wang, Yilong; Wang, Xuhui; Wang, Kai; Chevallier, Frédéric; Zhu, Dan; Lian, Jinghui; He, Yue; Tian, Hanqin; Li, Junsheng; Zhu, Jianxiao; et al (March 2022, Nature)

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Higher Gauss sums of modular categories

https://doi.org/10.1007/s00029-019-0499-2

Ng, Siu-Hung; Schopieray, Andrew; Wang, Yilong (October 2019, Selecta Mathematica)

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Reducing uncertainties in decadal variability of the global carbon budget with multiple datasets

https://doi.org/10.1073/pnas.1603956113

Li, Wei; Ciais, Philippe; Wang, Yilong; Peng, Shushi; Broquet, Grégoire; Ballantyne, Ashley P.; Canadell, Josep G.; Cooper, Leila; Friedlingstein, Pierre; Le Quéré, Corinne; et al (November 2016, Proceedings of the National Academy of Sciences)

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