Khanh Nguyen

Khanh Nguyen

Name in Vietnamese: Nguyễn Ngọc Khanh

Affiliation: Faculty of Mathematics, Mechanics and Informatics,

University of Science,

Vietnam National University,

334 Nguyen Trai, Hanoi

Office: 305T3

Email: khanhnn(at)vnu.edu.vn

Phone: +84 8338 152 93

Education

PhD (2021), University of Jyväskylä, Jyväskylä, Finland, supervisor: Prof. Pekka Koskela
Bachelor (2015) & Master (2018), Vietnam National University, Hanoi, Vietnam, supervisor: Prof. Nguyễn Thạc Dũng

Employment

09/2026- : Lecturer, Vietnam National University, Hanoi, Vietnam
2023-2026: Postdoc (mentor: Prof. Panu Lahti), Chinese Academy of Sciences, Beijing, China
2022-2023: Lecturer, Vietnam National University, Hanoi, Vietnam
2021-2022: Postdoc (mentored and supported by Prof. Pekka Koskela), University of Jyväskylä, Jyväskylä, Finland
2015-2017: Lecturer (TA), Vietnam National University, Hanoi, Vietnam

Research interests

Analysis on metric spaces
Sobolev functions
Functions of bounded variation
Variational minimizers

Co-Authors

Nguyen Thac Dung (University of Science, VNU)
Sylvester Eriksson-Bique (University of Jyväskylä)
Behnam Esmayli (Linköping University)
Josh Kline (University of Cincinnati)
Pekka Koskela (University of Jyväskylä)
Panu Lahti (AMSS, Chinese Academy of Sciences)
Yuxin Li (AMSS, Chinese Academy of Sciences)
Quốc-Anh Ngô (University of Science, VNU)
Ta Cong Son (University of Science, VNU)
Ninh Van Thu (Hanoi University of Science and Technology)
Zhuang Wang (Hunan Normal University)

Papers

Preprints

B. Esmayli, P. Koskela, K. Nguyen, Exceptional sets for quasiconformal mappings in general metric spaces II, arXiv:2603.29769, 41 pp.
P. Lahti, Y. Li and K. Nguyen, Weak Harnack inequality and Cartan property for nonlocal $W^{s,1}$-minimizers, arXiv:2603.21121, 42 pp.

Publications

J. Kline, P. Koskela and K. Nguyen, Large-scale behaviour of Sobolev functions in Ahlfors regular metric measure spaces, J. Geom. Anal. 35 (2025), no. 7, Paper No. 214, 49 pp.
P. Lahti and K. Nguyen, Lusin approximation for functions of bounded variation, Calc. Var. Partial Differential Equations 64 (2025), no.5, Paper No. 157, 24 pp.
P. Lahti and K. Nguyen, Existence and uniqueness of limits at infinity for bounded variation functions, J. Geom. Anal. 34 (2024), no.11, Paper No. 344, 38 pp.
P. Koskela and K. Nguyen, Existence and uniqueness of limits at infinity for homogeneous Sobolev functions, J. Funct. Anal. 285 (2023), no.11, Paper No. 110154, 22 pp.
S. Eriksson-Bique, P. Koskela and K. Nguyen, On limits at infinity of weighted Sobolev functions, J. Funct. Anal. 283 (2022), no.10, Paper No. 109672, 40 pp.
P. Koskela, K. Nguyen and Z. Wang, Trace and density results on regular trees, Potential Anal. 7 (2022), no.1, 101--128.
N.T. Dung and K. Nguyen, Gradient estimates for a class of semilinear parabolic equations and their applications, Vietnam J. Math. 50 (2022), no.1, 249--259.
K. Nguyen, Classification criteria for regular trees, Ann. Fenn. Math. 47 (2022), no.1, 3--21.
P. Koskela, K. Nguyen and Z. Wang, Trace operators on regular trees, Anal. Geom. Metr. Spaces 8 (2020), no.1, 396--409.
K. Nguyen and Z. Wang, Admissibility versus $\rm A_p$-conditions on regular trees, Anal. Geom. Metr. Spaces 8 (2020), no.1, 92--105.
N.T. Dung, K. Nguyen and T.C. Son, The number of cusps of complete Riemannian manifolds with finite volume, Taiwanese J. Math. 22 (2018), no.6, 1403--1425.
N.T. Dung, K. Nguyen and Q.A. Ngô, Gradient estimates for some $f$-heat equations driven by Lichnerowicz's equation on complete smooth metric measure spaces, Manuscripta Math. 155 (2018), no.3-4, 471--501.
N.V. Thu and K. Nguyen, A note on uniqueness boundary of holomorphic mappings, Complex Var. Elliptic Equ. 62 (2017), no.4, 481--493.
K. Nguyen, Gradient estimates of Li Yau type for a general heat equation on Riemannian manifolds, Arch. Math. (Brno) 52 (2016), no.4, 207--219.
N.T. Dung and K. Nguyen, Gradient estimates of Hamilton-Souplet-Zhang type for a general heat equation on Riemannian manifolds, Arch. Math. (Basel) 105 (2015), no.5, 479--490.

Google Sites

Report abuse