Career · 2024.5-至今, Associate Professor, ShanghaiTech University. · 2018.7- 2024.5, Assistant Professor, ShanghaiTech University. · 2016.6-2018.6, Chercheur Postdoc, Université libre de Bruxelles. · 2016.1-2016.5, Viterbi Endowed Postdoctoral Fellow, MSRI. · 2015.6-2015.12, Chercheur Postdoc, Université libre de Bruxelles.
Education · 2012-2015, Ph.D in Mathematics,Stony Brook University (Advisor: Xiuxiong Chen), May 2015 · 2009-2012, University of Wisconsin, Madison · 2005-2009, B.S. in Mathematics, University of Science and Technology of China (College: Special Class for Gifted Young)
Research My research area is differential geometry, in particular geometric analysis. The main studies are about the various types of geometric structures on manifolds, for instance differentiable structure, metric structure and the special curvature structures using analytic methods. Those structures serve as the backgrounds of many other theories, most remarkably in theoretical physics. Publications 12. (Joint with Luis Alvarez-Consul, Mario Garcia-Fernandez, Oscar Garcia-Prada and Vamsi Pingali), Gravitating Vortices and Symplectic Reduction by Stages. https://arxiv.org/abs/2406.03639, to appear in the Journal of the European Mathematical Society. 11. (with Joel Fine and Weiyong He), Convergence of the hypersymplectic flow on T^4 with T^3, Journal of the London Mathematical Society, Second Series 111 (2025), Issue 6. http://dx.doi.org/10.1112/jlms.70217.
10. The dissolving limit and large volume limit of Einstein-Bogomol'nyi metrics. https://arxiv.org/abs/2308.09365.
9. (Joint with Luis Alvarez-Consul, Mario Garcia-Fernandez, Oscar Garcia-Prada and Vamsi Pingali), Obstructions to the existence of solutions of the self-dual Einstein-Maxwell-Higgs equations on a compact surface, Bulletin des sciences mathematiques 183(2023), Paper No. 103233, 14 pp.
8. Twisted and Singular gravitating vortices. Journal of Geometric Analysis 31 (2021), no. 12, 12594-12623;
7. (with Mario Garcia-Fernandez and Vamsi Pritham Pingali), Gravitating vortices with positive curvature. Advances in Mathematics 388 (2021), Paper No. 107851, 42 pp.
6.（with Joel Fine), A report on the hypersymplectic flow. Pure and Applied Mathematics Quarterly 15 (2019), no. 4, 1219-1260; (Special Issue in Honor of Simon Donaldson: Part 2 of 2)
5.（with Joel Fine), Hypersymplectic four-manifolds, the G2-Laplacian flow and extension assuming bounded scalar curvature. Duke Math. J. Volume 167, Number 18 (2018), 3533-3589.
4. (with Hongnian Huang and Yuanqi Wang) , Cohomogeneity-one G2-Laplacian flow on 7-torus, Journal of the London Mathematical Society, Vol. 98, Issue 2, 2018.
3. (with Cristiano Spotti, Song Sun) , Existence and deformations of Kahler-Einstein metrics on smoothable Q-Fano varieties. Duke Math. J., Volume 165, Number 16(2016), 3043-3083.
2. Continuity Method to Deform Cone Angle. The Journal of Geometric Analysis, 1-18(2015).
1. Existence of Weak Conical Kahler-Einstein Metrics Along Smooth Hypersurfaces. Mathematische Annalen, Volume 362, Issue 3, 1287-1304(2015). |
Email: yaochj@shanghaitech.edu.cn Office: S412, School of Creativity & Arts |
