Nguyen Thac Dung
Research interests
Geometric Analysis. In particular, harmonic functions theory on complete Riemannian manifolds
Differential Geometry. In particular,rigidity properties of minimal (stable) submanifolds immersed in a Riemannian manifolds
Several Complex Variables. In particular, Laplace-Beltrami operator on pseudo-convex domains, more general, on Kähler manifolds
Education
2008–2012 Ph.D, National Tsinghua University, Taiwan Mathematics
2002–2004 Master, VNU – Hanoi University of Science, Viet Nam Mathematics
1998 – 2002 Bachelor, VNU – Hanoi University of Science, Viet Nam. Mathematics
Honors and awards
2013 DevMath-CRM Program, CRM, Barcelona, Spain
2012 The Silver Medal for the Thesis Prizes of The Mathematical Society of the Republic of China
2012 National Tsinghua University outstanding Scholarship
2008-2011 Taiwan government Scholarship
Publications
1. T. Dung and N. N. Khanh and Q. A. Ngo, Gradient estimates for some f-heat
equations on complete smooth metric measure spaces, Manuscripta Mathematica, 155 (2018), Issue 3 – 4, 471 – 501, arXiv:1610.03199.
2. Nguyen Thac Dung and Keomkyo Seo, p-harmonic functions and connectedness at infinity of complete Riemannian manifolds, Annali Matematica Pura ed Applicata, 196 (2017) No.4, 1489 – 1511.3. V. Binh, N. T Dung and N. T. L Hai, p-harmonic functions on complete manifolds with weighted Poincaré inequality, Kodai Mathamatical Journal, 40 (2017), no. 2, 343-357.
4. Nguyen Thac Dung, Hamilton type gradient estimate for a nonlinear diffusion equation on smooth metric measure spaces, Differential Geometry and its Applications, 51 (2017) 153 – 162.5. Nguyen Thac Dung, Rigidity properties of smooth metric measure spaces via the weighted p-Laplacian, Proc. Amer. Math. Soc., 145 (2017), 1287- 1299.
6. T. Dung, p-harmonic `-forms on Riemannian manifolds with a weighted Poincaré inequality, Nonlinear Analysis: Theory, Methods and Applications, 150 (2017) 138 – 1507. Nguyen Thac Dung, Rigidity of immersed submanifolds in a hyperbolic space, Bull. Korean Math. Soc., 53 (2016), No. 6, pp. 1795 -1804
8. Nguyen Thac Dung and Nguyen Duy Dat, Local and global sharp gradient estimates for weighted p-harmonic functions, Journal of Mathematical Analysis and Applications, 443 (2016) No. 2, 959 – 980.9. Nguyen Thac Dung and Nguyen Ngoc Khanh, Gradient estimates of Hamilton-Souplet-Zhang type for a general heat equation on Riemannian manifolds, Archiv der Mathematik, 105 (2015) Issue 5, 479 – 490.
10. Nguyen Thac Dung and Keomkyo Seo, Vanishing theorems for L2 harmonic 1-forms on complete submanifolds in a Riemannian manifold, Journal of Mathematical Analysis and Applications, 423 (2015), Issue 2, 1594-160
11. Nguyen Thac Dung, N. T. Le Hai and N. T. Thanh, Eigenfunctions of the weighted Laplacian and a vanishing theorem on gradient steady Riccisoliton, Journal of Mathematical analysis and Applications, 416 (2014), Issue 2, 553 – 562.
12. Nguyen Thac Dung and Chiung Jue Sung, Manifolds with a weighted Poincare inequality, Proceedings of the AMS, 142 (2014), 1783-1794.
13. Nguyen Thac Dung and Chiung Jue Sung, Complete Smooth Metric Measure Spaces with weighted Poincare inequality, Mathematische Zeitschrift, 273 (2013) Issue 3-4, 613-632.
14. Nguyen Quang Dieu and Nguyen Thac Dung, Radial Symmetric solution of complex Hessian equation in the unit ball, Complex variables and elliptic equations, 58 (2013) Issue 9, 1261 – 1272.
15. Nguyen Thac Dung and Keomkyo Seo, Stable Minimal Hypersurfaces in a Riemannian manifold with pinched negative sectional curvature,. Ann. Glob. Anal. Geom., 41 (2012), 447 – 460
16. Nguyen Thac Dung, A splitting theorem on smooth metric measure spaces, Archiv der Mathematik, 99 (2012) 179 – 187.
17. Le Mau Hai and Nguyen Thac Dung, Local T-pluripolarity and T-pluripolari- ty of a subset and some Cegrell’s pluricomplex Energy classes associated to a positive closed current, Vietnam Journal of Math, 37 (2009) No. 2&3, 295-313
18. Nguyen Quang Dieu, Nguyen Thac Dung and Dau Hoang Hung, B-regularity of certain domains in Cn, Ann. Polon. Math., 86 (2005), 136-152, 32F05 (32F07 32A07, 31C10