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Trần Vũ Khanh

Assoc. Prof. Dr.
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Assoc. Prof. Dr.
Office: O2. 610
Telephone: (84)-(8)- 3724 4270 Ext. 3235

Ph.D.  in Mathematics, University of Padova, Italy, 2007-2010.

B.Sc. in Mathematics and Computer Science, University of Science, Vietnam National University, Ho Chi Minh City, Vietnam, 2001-2005.

12/2021-present: Associate Professor, International University, Vietnam National University Ho Chi Minh City.

04/2019-12/2021: Associate Professor, Tan Tao University, Vietnam.

04/2015-04/2019: Vice-Chancellor Research Fellow, ARC DECRA Research Fellow, University of Wollongong, Australia.

07/2013-04/2015: Visisting Assistant Professor, National University of Singapore, Singapore.

02/2011-07/2013: Lecturer, Tan Tao University, Vietnam. 

03/2010-02/2011: Lecturer, University of Science, Vietnam National University Ho Chi Minh City, Vietnam.

08/2005-12/2006: Teacher, High school for the Gifted, Vietnam National University Ho Chi Minh City, Vietnam.

  1. Discovery Early Career Researcher Award (DECRA) issued by Australian Research Council, Australia, 2016.
  2. Vice-Chancellor's Research Award issued by University of Wollongong, Australia, 2015
  3. Scientific Prize issued by Institute of Mathematics Hanoi, Vietnam, 2011.
  4. Travel Grant Award issued by National Institute for Advanced Mathematics F. Severi, Italy, 2010.

2019-present: Member of Scientific Council of Mathematics, National Foundation for Science and Technology Development (NAFOSTED).

2018-present: Editor, Vietnam Journal of Mathematics.

2018-present: Editor, Hue University Journal of Science: Natural Science.

2019-2023: Editor, Journal of the Korean Mathematical Society.

2019-2021: Editor-in-Chief, TTU Review.

2011-2020: Reviewer, AMS Review.

  • Analysis 3
  • Introduction to Python
  • Calculus 1, 2
  • Linear Algebra, Applied Linear Algebra

Partial Differential Equations, Several Complex Variables, Inverse Problem, Financial Mathematics, Machine Learning, Data Science, Artificial Intelligence.

32. Tran Vu Khanh and Andrew Raich. A Note on Estimates of the Newtonian potential on bounded domains. Math. Inequalities Appl. (accepted)

31. Tran Vu Khanh; A general estimate for the D-bar-Neumann problemActa. Math. Vietnam 48(2023) 48, 83–115

30.  Cao Tien Dung, Truong Huu Tran, Tran Duy Hien, Tran Vu Khanh; A Federated Learning Framework for Privacy-preserving and Parallel Training, J. Syst. Archit., 124(2022), 102413.

29. Tran Vu Khanh, Pham Trong Tien; Bergman-Toeplitz operators between weighted $L^p$-spaces on weakly pseudoconvex domains; J. Geom. Anal. 31(2021), 4612-4640.

28. Tran Vu Khanh, Andrew Raich; L^p-Estimates for the D-bar_b-equation on a class of infinite type domains; Math. Nachr.  294(2021), 82-97.

27. Tran Vu Khanh, Andrew Raich; The Kohn-Laplace equation on abstract CR manifolds: Global regularity; Trans. Amer. Math. Soc. 373(2020), 5775–7606.

26. Tran Vu Khanh, Jiakun Liu, Phung Trong Thuc; Bergman–Toeplitz operators on weakly pseudoconvex domains; Math. Z. 291(2019), 591–607. 

25. Tran Vu Khanh, Jiakun Liu, Phung Trong Thuc; Bergman-Toeplitz operators on fat Hartogs triangles; Proc. Amer. Math. Soc, 147(2019), 327–338

24. Tran Vu Khanh, Luca Baracco, Stefano Pinton; The complex Monge-Amp`ere equation on weakly pseudoconvex domains; Comptes Rendus Math. 355 (2017), 411-414.

23. Nhat-Tan Le, Duy-Minh Dang, Tran Vu Khanh; A Fourier Sine transform decomposition approach for valuing American knock-out options with time-dependent rebates; J. Comput. Appl. Math. 317 (2017), 652-671.

22. Luca Baracco, Tran Vu Khanh, Stefano Pinton, Giuseppe Zampieri; Holder regularity of the solution to the complex Monge-Amp`ere equation with L^p density; Calc. Val. Partial Differential Equations 55 (2016), 55:74.

21. Tran Vu Khanh, Ninh Van Thu; Iterates of holomorphic self-maps on pseudoconvex domains of finite and infinite type in $C^n$; Proc. Amer. Math. Soc.  144 (2016), 5197–5206

20. Tran Vu Khanh; Equivalence of estimates on domain and its boundary; Vietnam J. Math. 44 (2016), 29-48.

19. Tran Vu Khanh; Lower bounds on the Kobayashi metric near a point of infinite type; J. Geom. Anal. 26 (2016), 616–629.

18. Tran Vu Khanh, Stefanno Pinton, Giuseppe Zampieri; Loss of derivatives in the infinite type, Pure Appl. Math. Q. 11 (2015), 315–327.

17. Ly Kim Ha, Tran Vu Khanh; Boundary regularity for the Complex Monge-Amp`ere equation on peudoconvex domains of infinite type, Math. Res. Lett. 22, (2015), 467–484.

16. Luca Baracco, Tran Vu Khanh, Giuseppe Zampieri; Hypoellipticity of the D-bar-Neumann problem at exponentially degenerate points, Asian J. Math. 18 (2014), 623-632.

15. Ly Kim Ha, Tran Vu Khanh, Andrew Raich; L^p-Estimates for the D-bar-equation on a class of infinite type domains; Internat. J. Math. 25 (2014), 1450106 [15 pages].

14. Tran Vu Khanh, Giuseppe Zampieri; Precise subelliptic estimates for a class of special domains;  J. Anal. Math. 123 (2014), 171–181.

13. Tran Vu Khanh; Lower bound for the geometric type from a generalized estimate in the D-bar-Neumann problem - a new approach by peak functions; Michigan Math. J. 63 (2014), 209–212.

12. Tran Vu Khanh,  Giuseppe Zampieri; Regularity at the boundary and tangential regularity of solutions of the Cauchy-Riemann system; Pacific J. Math. 265 (2013), 491–498.

11. Tran Vu Khanh; Supnorm and f-H"older estimates for D-bar on convex domains of general type in C^2; J. Math. Anal. Appl. 403 (2013), 522–531.

10. Tran Vu Khanh, Giuseppe Zampieri; Necessary geometric and analytic conditions for general estimates in the D-bar-Neumann problem; Invent. Math. 188 (2012), 729–750.

9. Luca Baracco, Tran Vu Khanh,  Giuseppe Zampieri; Propagation of regularity for solutions of the Kohn-Laplacian in a flat point;  Adv. Math. 230 (2012) 1972–1978.

8. Tran Vu Khanh,  Stefanno Pinton, Giuseppe Zampieri; Compactness estimates for Box_b on CR manifolds; Proc. Amer. Math. Soc. 140 (2012), 32229–3236.

7. Tran Vu Khanh,  Stefanno Pinton, Giuseppe Zampieri; Loss of derivatives for systems of complex vector fields and sums of squares;  Proc. Amer. Math. Soc. 140 (2012), 519–530.

6. Tran Vu Khanh,  Giuseppe Zampieri; Compactness of the D-bar-Neumann operator on q-pseudoconvex domain; Complex Var. Elliptic Equ. 57 (2012) 1325–1337.

5. Tran Vu Khanh, Giuseppe Zampieri; Estimates for regularity of the tangential D-bar system; Math. Nachr. 284 (2011), 2212 – 2224. 

4. Tran Vu Khanh, Giuseppe Zampieri; Subellipticity of the D-bar-Neumann problem on a weakly Q-pseudoconvex/concave domain; Adv. Math. 228 (2011), 1938–1965.

3. Tran Vu Khanh,  Giuseppe Zampieri; Regularity of the D-bar-Neumannn problem at infinity type, J. Funct. Anal. 259 (2010), 2760–2775.

2. Luca Baracco, Tran Vu Khanh, Stefanno Pinton; Uniform regularity in a wedge and regularity of traces of CR functions, J. Geom. Anal. 20 (2010), 996–1007.

1. Dang Duc Trong, Pham Hoang Quan, Tran Vu Khanh,  Nguyen Huy Tuan; A nonlinear 1-D case backward heat problem: Regularization and error; Z. Anal. Anwendungen 26 (2007), 231-245.