Welcome to my personal webpage!

Khanh Nguyen
in Vietnamese: Nguyễn Ngọc Khanh

Email

khanhnguyen@amss.ac.cn

Office

S511, Siyuan Building, AMSS, CAS,
55 Zhongguancun East Road,
Haidian District, Beijing 100190

Current employment

• Chinese Academy of Sciences -- CAS,  Academy of Mathematics and Systems Science -- AMSS,
  Postdoc (2023 - present, mentor: Prof. Panu Lahti)

Former employment & Education

• VNU University of Science (Trường ĐH KHTN HN -- HUS), Faculty of Mathematics-Mechanics-Informatics,  Department of Analysis,
  Lecturer (2022-2023)
  TA (2015-2017)
  Bachelor & Master (2011-2017, supervisor: Prof. Nguyễn Thạc Dũng)

• University of  Jyväskylä (Jyväskylän yliopisto -- JYU),  Department of Mathematics and Statistics,
  Postdoc (2021-2022, mentor: Prof. Pekka Koskela)
  PhD (2017-2021, supervisor: Prof. Pekka Koskela)

Research interests 

Analysis on metric spaces

Bounded variation functions

Sobolev functions

Papers

1. Josh Kline, Pekka Koskela, Khanh Nguyen, Large-Scale behaviour of Sobolev functions in Ahlfors regular metric measure spaces, The Journal of Geometric Analysis, 35 (2025), no. 7, Paper No. 214, 49 pp.

2. Panu Lahti, Khanh Nguyen, Lusin approximation for functions of bounded variation, Calculus of Variations and Partial Differential Equations, 64 (2025), no. 5, Paper No. 157, 24 pp.

3. Panu Lahti, Khanh Nguyen, Existence and uniqueness of limits at infinity for bounded variation functions, The Journal of Geometric Analysis, 34 (2024), no. 11, Paper No. 344, 38 pp.

4. Pekka Koskela, Khanh Nguyen, Existence and uniqueness of limits at infinity for homogeneous Sobolev functions, Journal of Functional Analysis, 285 (2023), no. 11, Paper No. 110154, 22 pp.

5. Sylvester Eriksson-Bique, Pekka Koskela, Khanh Nguyen, On limits at infinity of weighted Sobolev functions, Journal of Functional Analysis, 283 (2022), no. 10, Paper No. 109672, 40 pp.
   Dedicated to Professor Olli Martio on the occasion of his 80th birthday celebration

6. Pekka Koskela, Khanh Ngoc Nguyen, Zhuang Wang, Trace and density results on regular trees, Potential Analysis, 57 (2022), no. 1, 101–128.

7. Khanh Nguyen, Classification criteria for regular trees, Annales Fennici Mathematici, 47 (2022), no. 1, 3–21.

8. Pekka Koskela, Khanh Ngoc Nguyen, Zhuang Wang, Trace operators on regular trees, Analysis and Geometry in Metric Spaces, 8 (2020), no. 1, 396–409.
   Special Issue: Function spaces and their applications on metric measure spaces including Euclidean spaces

9. Khanh Ngoc Nguyen, Zhuang Wang, Admissibility versus Ap-conditions on regular trees, Analysis and Geometry in Metric Spaces,  8 (2020), no. 1, 92–105.
   Dedicated to Professor Pekka Koskela on the occasion of his 59th birthday celebration

10. Nguyen Thac Dung, Nguyen Ngoc Khanh, Gradient estimates for a class of semilinear parabolic equations and their applications, Vietnam Journal of Mathematics, 50 (2022), no. 1, 249–259.

11. Nguyen Thac Dung, Nguyen Ngoc Khanh, Quốc-Anh Ngô, Gradient estimates for some f-heat equations driven by Lichnerowicz’s equation on complete smooth metric measure spaces, manuscripta mathematica, 155 (2018), 471–501.

12. Nguyen Thac Dung, Nguyen Ngoc Khanh, Ta Cong Son, The number of cusps of complete Riemannian manifolds with finite volume, Taiwanese Journal of Mathematics, 22 (2018), no. 6, 1403–1425.

13. Van Thu Ninh, Ngoc Khanh Nguyen, A note on uniqueness boundary of holomorphic mappings, Complex Variables and Elliptic Equations, 62 (2017), no. 4, 481–493.

14. Nguyen Ngoc Khanh, Gradient estimates of Li Yau type for a general heat equation on Riemannian manifolds, Archivum Mathematicum, 52 (2016), no. 4, 207–219.

15. Nguyen Thac Dung, Nguyen Ngoc Khanh, Gradient estimates of Hamilton-Souplet-Zhang type for a general heat equation on Riemannian manifolds, Archiv der Mathematik, 105 (2015), no. 5, 479–490.