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; 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. arXiv:2207.04590
  2. B. Harvie, Y.-K. Wang The mass of the static extension of small spheres arXiv:2209.00141
  3. 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. arXiv:2107.05316
  4. B.-H. Wang; Y.-K. Wang A note on the convex body isoperimetric conjecture in the plane arXiv:2104.04954
  5. 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. arXiv:2102.03235
  6. 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. arXiv:2102.03221
  7. 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. arXiv:1811.02383
  8. 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. arXiv:1901.06952
  9. 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. arXiv:1901.06948
  10. 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. arXiv:1604.02983
  11. X. Wang; Y.-K. Wang Brendle’s inequality on static manifolds. J. Geom. Anal. 28 (2018), no. 1, 152–169. arXiv:1603.00379
  12. M.-T. Wang; Y.-K. Wang; X. Zhang Minkowski formulae and Alexandrov theorems in spacetime. J. Differential Geom. 105 (2017), no. 2, 249–290. arXiv:1409.2190
  13. 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. arXiv:1310.6081
  14. C.-Y. Lin; Y.-K. Wang On isometric embeddings into anti-de Sitter spacetimes. Int. Math. Res. Not. IMRN 2015, no. 16, 7130–7161. arXiv:1401.6026

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)

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)

幾何組修課建議

Articles about Geometric Analysis or Mathematical General Relativity