Assoc. Prof. Dr. Trần Vũ Khanh

EDUCATION

• B.Sc. in Mathematics and Computer Science, University of Science, Vietnam National University, Ho Chi Minh City, Vietnam, 2001-2005.
• Ph.D.  in Mathematics, University of Padova, Italy, 2007-2010

RESEARCH INTERESTS

• Partial Differential Equations
• Several Complex Variables
• Inverse Problem
• Financial Mathematics

TEACHING

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

PUBLICATIONS

• 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 problem. Acta. 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.

OTHER INFORMATION

• 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.
• 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.