联系方式 Contacts:

邮箱地址 Mail Address: Academy of Mathematics & Systems Science, No.55 Zhongguancun East Road ,The Chinese Academy of Sciences, Beijing 100190, China.

电子邮箱 Email: yzhang@amss.ac.cn

教育经历 / Education:

2009. 09 -- 2013. 06 中国，北京，北京航空航天大学，数学与应用数学，本科

09. 2009 -- 06. 2013 Math & Applied Math, Beihang University, Beijing, China, Bachelor of Science

2013. 09 -- 2014. 07 芬兰，于韦斯屈莱，于韦斯屈莱大学，数学（导师：Pekka Koskela），研究生

09. 2013 -- 07. 2014 Math, University of Jyvaskyla, Jyvaskyla, Finland (Supervisor: Pekka Koskela), Master of Science

2014. 08 -- 2017. 07 芬兰，于韦斯屈莱，于韦斯屈莱大学，数学（导师：Pekka Koskela），博士

08. 2014 -- 07.2017 Math, University of Jyvaskyla, Jyvaskyla, Finland (Supervisor: Pekka Koskela), Ph.D

工作经历 / Occupation:

08. 2017 -- 07.2019 德国，波恩，豪斯多夫数学研究所，数学（和Herber Koch），博士后 Math, Hausdorff Center for Mathematics, Bonn, Germany, Post-doctoral researcher (with Herbert Koch).

08. 2019 -- 12.2020 (expected) 瑞士，苏黎世，苏黎世联邦理工学院 ，数学（和Alessio Figalli），博士后 Math, Eidgenössische Technische Hochschule Zürich , Zürich , Switzerland, Post-doctoral researcher (with Alessio Figalli).

01.2021 -- 中国，北京，中国科学院数学与系统科学研究院数学研究所，数学，副教授 Math, Institute of Mathematics, Academy of Mathematics and System Science, Chinese Academy of Science, Beijing, China, Associate Professor.

List of Publication （Possibile Pen Name: Yi Ru-Ya Zhang）

The publications are listed according to the time when they were finished.

1. Pekka Koskela, Jie Xiao, Yi Zhang andYuan Zhou, A quasiconformal composition problem for the Q-spaces, J. Eur. Math.Soc., 19 (2017), no. 4, 1159–1187. http://arxiv.org/abs/1608.02009

2. Pekka Koskela, Yi Zhang and Yuan Zhou, Morrey-Sobolev extension domains, J. Geom. Anal. 27 (2017), no. 2,1413–1434. http://link.springer.com/article/10.1007/s12220-016-9724-9

3. Pekka Koskela, Tapio Rajala and Yi Zhang, A geometric characterization of planar Sobolev extension domains,Submitted. (See http://arxiv.org/abs/1502.04139 for the more specific version.)

4. Pekka Koskela and Yi Zhang, A density problem for Sobolev spaces on planar domains, Arch. Ration. Mech. Anal., 222 (2016), no. 1, 1–14. http://arxiv.org/abs/1508.01400

5. Pekka Koskela, Tapio Rajala and Yi Zhang, Planar $W^{1,\,1}$-extension domains, Preprint, https://jyx.jyu.fi/handle/123456789/53616 (the last paper) .

6. Nicola Fusco, Yi Zhang, A quantitative form of the Faber-Krahn inequality, Calc. Var. Partial Differential Equations 56 (2017), no. 5, 56:138. http://cvgmt.sns.it/paper/3015/

7. Pekka Koskela, Tapio Rajala and Yi Zhang, A density problem for Sobolev spaces on Gromov hyperbolic domains, Nonlinear Anal. 154 (2017), 189–209. https://arxiv.org/abs/1605.08260

8. Herbert Koch, Yi Zhang, Yuan Zhou, An asymtotic sharp Sobolev regularity for planar infinity harmonic functions, J.Math. Pures Appl. (9) 132 (2019), 457–482. https://arxiv.org/abs/1806.01982

9. Herbert Koch, Yi Zhang, Yuan Zhou,Some sharp Sobolev regularity for inhomogeneous ∞-Laplace equation in plane, J.Math. Pures Appl. (9) 132 (2019), 483–521. https://arxiv.org/abs/1806.01987

10. Nicola Fusco, Shirsho Mukherjee, Yi Zhang, A variational characterisation of the second eigenvalue of the p-Laplacian on quasi open sets, Proc. Lond. Math. Soc. (3) 119 (2019), no. 3, 579–612. https://arxiv.org/abs/1806.07303

11. Yi Zhang, Schoenflies solutions of conformal boundary values may fail to be Sobolev, Ann. Acad. Sci. Fenn. Math. 44 (2019), no. 2, 791–796. https://arxiv.org/abs/1808.10392

12. Yi Zhang, Yuan Zhou, C^1-Regularity of planar \infty-harmonic functions - revisited, Proc. Amer. Math. Soc. 148 (2020), no. 3, 1187–1193. https://arxiv.org/abs/1905.06298

13. Hongjie Dong, Fa Peng, Yi Zhang, Yuan Zhou, Second order regularity for elliptic and parabolic equations involving p-Laplacian via a fundamental inequality, Adv. Math. 370 (2020),107212, 40 pp. https://arxiv.org/abs/1908.01547

14. Alessio Figalli, Yi Zhang, Strong stability for the Wulff inequality with a crystalline norm, Comm. Pure Appl.Math., Accepted https://arxiv.org/abs/1910.09515

15. Pekka Koskela, Pekka Pankka, Yi Zhang, Ahlfors reflection theorem for p-morphisms, Submitted. https://arxiv.org/abs/1912.09200

16. Yi Zhang, Duality of capacities and Sobolev extendability in the plane, Complex Anal. Synerg., Complex Anal.Synerg. 7 (2021), no. 1, Paper No. 3, 6 pp. https://arxiv.org/abs/2002.01294

17. Alessio Figalli, Yi Zhang, Sharp gradient stability for the Sobolev inequality, Duke Math.J., Accepted. https://arxiv.org/abs/2003.04037

18. Fa Peng, Yi Ru-Ya Zhang, Yuan Zhou,Optimal regularity & Liouville property for stable solutions to semilinear elliptic equations in R^n with n\ge 10, Submitted. https://arxiv.org/abs/2105.02535

19. Alessio Figalli, Yi Zhang, Uniform boundedness for finite Morse index solutions to supercritica semilinear elliptic equations, Comm. Pure Appl.Math., Accepted, https://arxiv.org/abs/2106.10959

20. Fa Peng,Yi Ru-Ya Zhang, Yuan Zhou, Interior Holder regularity for stable solutions to semilinear elliptic equations up to dimension 5, Submitted. https://arxiv.org/abs/2204.06345