Associate Professor Ye-Kai Wang

Contact

• Email: ykwang@math.nctu.edu.tw
• Tel: +886-3-5712121 ext.56454
• Fax: +886-3-5724679
• Address: Department of Applied Mathematics, National Yang Ming Chiao Tung University,1001 Ta Hsueh Road, Hsinchu, Taiwan 30050, ROC

Teaching

• Fall Semester, 2024：
• Spring Semester, 2025：

Vitae

• Education
  • Ph. D. in Mathematics, 2014, Columbia University, New York, NY, USA. Thesis advisor Professor Mu-Tao Wang, “A Spacetime Alexandrov Theorem”.
  • M.S. in Mathematics, 2008, National Taiwan University, Taiwan. Advisor Professor Yng-Ing Lee.
  • B.S. in Mathematics, 2004, National Taiwan University, Taiwan.
• Research Areas
  • Differential Geometry, Partial Differential Equations, General Relativity
• Positions, Honors and Awards
  2022-  :Associate Professor, Department of Applied Mathematics, National Yang Ming Chiao Tung University.
  2021-2022: Associate Professor, Department of Mathematics, National Cheng Kung University.
  2016-2021: Assistant Professor, Department of Mathematics, National Cheng Kung University.
  2014-2016: Postdoc, Mathematics Department, Michigan State University.
• Recent Research Projects
  1. Angular momentum at null infinity, MOST grant 109-2628-M-006-001- MY3, 2020/8/1-2023/7/31
  2. Quasi-local mass at spatial infinity, MOST grant 107-2115-M-006-001- MY2, 2018/8/1-2020/10/31
  3. The geometry of static spacetimes, MOST grant 105-2115-M-006-016- MY2, 2016/10/1-2018/10/31
• Others
  Differential Geometry (53), Partial Differential Equations (35), and General Relativity (83).

Selected Publications

(A)   Refereed Papers：

1. Wang, Bo-Hshiung; Wang, Ye-Kai A note on the convex body isoperimetric conjecture in the plane. arXiv:2104.04954
2. Chen, Po-Ning; Wang, Mu-Tao; Wang, Ye-Kai; Yau, Shing-Tung BMS charges without supertranslation ambiguity. arXiv:2107.05316
3. Chen, Po-Ning; Wang, Mu-Tao; Wang, Ye-Kai; Yau, Shing-Tung Super- translation invariance of angular momentum. to appear in Adv. Theor. Math. Phys. 25 (2021), no. 2. arXiv:2102.03235
4. Chen, Po-Ning; Keller, Jordan; Wang, Mu-Tao; Wang, Ye-Kai; Yau, Shing-Tung Evolution of angular momentum and center of mass at null infinity . Commun. Math. Phys. 386, 551–588 (2021).
5. Keller, Jordan; Wang, Ye-Kai; Yau, Shing-Tung Evaluating quasi-local an- gular momentum and center-of-mass at null infinity. Adv. Theor. Math. Phys. 24 (2020), no. 6, 1423–1473.
6. Chen, Po-Ning; Wang, Mu-Tao; Wang, Ye-Kai; Yau, Shing-Tung Quasi- local mass at null infinity in Bondi-Sachs coordinates. Pure Appl. Math. Q. 15 (2019), no. 3, 875–895.
7. Chen, Po-Ning; Wang, Mu-Tao; Wang, Ye-Kai; Yau, Shing-Tung Quasi- local mass at axially symmetric null infinity. Internat.  J. Modern Phys. D 28 (2019), no. 8, 1930013, 7 pp.
8. Chen, Po-Ning; Wang, Mu-Tao; Wang, Ye-Kai; Yau, Shing-Tung Quasi- local mass on unit spheres at spatial infinity. accepted by Comm. Anal. Geom. arXiv:1901.06954
9. Chen, Po-Ning; Wang, Mu-Tao; Wang, Ye-Kai; Yau, Shing-Tung Quasi- local energy with respect to a static spacetime, Adv. Theor. Math. Phys. 22 (2018), no. 1, 1–23.
10. Wang, Xiaodong; Wang, Ye-Kai Brendle’s inequality on static  manifolds J. Geom. Anal. 28 (2018), no. 1, 152–169.
11. Wang, Mu-Tao; Wang, Ye-Kai; Zhang, Xiangwen Minkowski formulae and Alexandrov theorems in spacetime J. Differential Geom. 105 (2017), no. 2, 249–290.
12. Chen, Po-Ning; Wang, Mu-Tao; Wang, Ye-Kai Rigidity of time-flat sur- faces in the Minkowski spacetime Math. Res. Lett. 21 (2014), no. 6, 1227–1240.
13. Lin, Chen-Yun; Wang, Ye-Kai On isometric embeddings into anti-de Sitter spacetimes Int. Math. Res. Not. IMRN 2015, no. 16,  7130–7161

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