Ye-Kai Wang (王業凱)

Associate Professor of Mathematics
Department of Applied Mathematics, National Yang Ming Chiao Tung University, Hsinchu, Taiwan
Email: yekaiwang at nycu.edu.tw

Education

Ph.D. Mathematics, Columbia University 2014. Advisor: Professor Mu-Tao Wang
M.S. Mathematics, National Taiwan University 2008. Advisor: Professor Yng-Ing Lee

Publication

My research interest lies in mathematical general relativity.

  1. P.-N. Chen; M.-T. Wang; Y.-K. Wang; S.-T. Yau Supertranslation invariance of angular momentum at null infinity in double null gauge Pure Appl. Math. Q. 20 (2024), no. 4, 1635–1666.
  2. B. Harvie; Y.-K. Wang A rigidity theorem for asymptotically flat static manifolds and its applications. Trans. Amer. Math. Soc. 377 (2024), no. 5, 3599–3629.
  3. P.-N. Chen; D. Paraizo; R. Wald; M.-T. Wang; Y.-K. Wang; S.-T. Yau Cross-section continuity of definitions of angular momentum. Classical Quantum Gravity 40 (2023), no. 2, Paper No. 025007, 11 pp.
  4. B. Harvie, Y.-K. Wang The mass of the static extension of small spheres. Int. Math. Res. Not. IMRN(2024), no. 2, 1606–1623.
  5. P.-N. Chen; M.-T. Wang; Y.-K. Wang; S.-T. Yau. BMS charges without supertranslation ambiguity. Comm. Math. Phys. 393 (2022), no. 3, 1411–1449.
  6. B.-H. Wang; Y.-K. Wang A note on the convex body isoperimetric conjecture in the plane. Proc. Amer. Math. Soc. 152 (2024), no. 2, 801–813.
  7. P.-N. Chen; M.-T. Wang; Y.-K. Wang; S.-T. Yau Quasi-local mass on unit spheres at spatial infinity. Comm. Anal. Geom. 30 (2022), no. 4, 745–777.
  8. P.-N. Chen; M.-T. Wang; Y.-K. Wang; S.-T. Yau Supertranslation invariance of angular momentum. Adv. Theor. Math. Phys. 25 (2021), no. 3, 777–789.
  9. P.-N. Chen; J. Keller; M.-T. Wang; Y.-K. Wang; S.-T. Yau Evolution of angular momentum and center of mass at null infinity. Comm. Math. Phys. 386 (2021), no. 1, 551–588.
  10. J. Keller; Y.-K. Wang; S.-T. Yau Evaluating Quasi-local Angular Momentum and Center-of-Mass at Null Infinity Adv. Theor. Math. Phys. 24 (2020), no. 6, 1423–1473.
  11. P.-N. Chen; M.-T. Wang; Y.-K. Wang; S.-T. Yau Quasi-local mass at null infinity in Bondi-Sachs coordinates. Pure Appl. Math. Q. 15 (2019), no. 3, 875–895.
  12. P.-N. Chen; M.-T. Wang; Y.-K. Wang; S.-T. Yau Quasi-local mass at axially symmetric null infinity. Internat. J. Modern Phys. D 28 (2019), no. 8, 1930013, 7 pp.
  13. P.-N. Chen; M.-T. Wang; Y.-K. Wang; S.-T. Yau Quasi-local energy with respect to a static spacetime. Adv. Theor. Math. Phys. 22 (2018), no. 1, 1–23.
  14. X. Wang; Y.-K. Wang Brendle's inequality on static manifolds. J. Geom. Anal. 28 (2018), no. 1, 152–169.
  15. M.-T. Wang; Y.-K. Wang; X. Zhang Minkowski formulae and Alexandrov theorems in spacetime. J. Differential Geom. 105 (2017), no. 2, 249–290.
  16. P.-N. Chen; M.-T. Wang; Y.-K. Wang Rigidity of time-flat surfaces in the Minkowski spacetime. Math. Res. Lett. 21 (2014), no. 6, 1227–1240.
  17. C.-Y. Lin; Y.-K. Wang On isometric embeddings into anti-de Sitter spacetimes. Int. Math. Res. Not. IMRN 2015, no. 16, 7130–7161.

Teaching

The courses I taught other than Calculus:

  1. Fall 2021: Introduction to Probability, Introduction to Differential Geometry
  2. Fall 2020: Complex Analysis (based on Gamelin's book)
  3. Fall 2019: Geometry II (minimal surface based on Oprea's book)
  4. Spring 2019: Introduction to Differential Geometry II
  5. Fall 2017: Introduction to Differential Geometry (manifolds)
  6. Spring 2017: Geometry (curves and surfaces)

Activities

2020 NCTS 寒假短期課程 Curve shortening flow

紀錄片放映 Secrets of The Surface (The Mathematical Vision of Maryam Mirzakhani)

(成大數學)幾何組修課建議

Articles about Geometric Analysis or Mathematical General Relativity