王業凱（Ye-Kai Wang）副教授

聯絡方式

• Email: ykwang@math.nctu.edu.tw
• 電話: 03-571-2121 分機56454
• 傳真: 03-572-4679
• 地址: 新竹市大學路1001號 陽明交通大學 應用數學系
• 相關網站: https://jupiter.math.nycu.edu.tw/~ykwang/  

近兩學期教授課程

• 111 學年度第一學期：
  • 古典微分幾何
  • 微積分甲(一)


• 111 學年度第二學期：
  • 微積分甲(二)

履歷

• 學歷
  • 哥倫比亞大學博士(2014)
  • 台灣大學碩士 (2008)
  • 台灣大學學士 (2004)
• 學術專長暨研究領域
  • 微分幾何、偏微分方程、廣義相對論
• 學術經歷與榮譽

  2022 -          陽明交大應用數學系副教授
  2021 - 2022 成功大學數學系副教授
  2016 - 2021 成功大學數學系助理教授



• 近五年研究計劃
  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

研究趣向

微分幾何、偏微分方程和廣義相對論

著作選集

(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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