Contact:
duvanc306[at]gmail.com / duvan.cardonasanchez[at]ugent.be
This year I am part of the Organising Committee of the conference: Trends in Mathematical Sciences hosted by FAU MoD in Erlangen – Bavaria, Germany. I also chair the international conference ICMAM Latin America 2024 funded by the International Mathematical Union. You can find information about other conferences I participate in and also take a look at my activities to disseminate mathematics in developing countries using the following link. Other active seminars, workshops, and conferences where I have participated as organiser or member of the scientific committee can be found here.
Seminar: Matemáticas y Memoria (Latin American Seminar of Anal. & PDE).
Harmonic analysis
PDE
Geometric Analysis
Control Theory
Pseudo-differential operators
Fourier integral operators.
(New) Board member of the International Society for Analysis, its Applications and Computation (ISAAC).
Scientific Director of ICMAM Latin America (2022-).
Book/Memoir:
Cardona, D. Ruzhansky, M. Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups, to appear in MSJ Memoirs, Mathematical Society of Japan, arXiv:2008.09651.Here is the link for my FWO Project (2023-2026) supported by the Belgian Research Foundation FWO.
Life Member of the ISAAC (International Society for Analysis, its Applications and Computation), 2021-. Member of the ISAAC Group in Partial Differential Equations, 2022-.
Member of the BMS (Belgian Mathematical Society), 2021-now.
Here is the link for my reviewer's page for (MinCiencias), The Ministry of Sciences, Technology, and Innovation of Colombia.
President of the Scientific Board, ICMAM Latin America, 2022-2024.
Cardona, D., Delgado, J., Ruzhansky, M. Nuclearity, Schatten-von Neumann classes, distribution of eigenvalues and Lp-Lq-boundedness of Fourier integral operators on compact manifolds, submitted, arXiv:2408.06833.
Cardona, D. Weighted boundedness for a class of local lacunary maximal operators, submitted.
Cardona, D., Kirilov, A., de Moraes, W. A., Pedroso, Kowacz, A. On the Sobolev boundedness of vector fields on compact Riemannian manifolds, submitted, arXiv:2404.00182.
Cardona, D., Kumar, V., Ruzhansky, M. Pseudo-differential operators on homogeneous vector-bundles over compact homogeneous manifolds, submitted, arXiv:2403.08990.
Cardona, D., Ruzhansky, M. The weak (1,1) boundedness of Fourier integral operators with complex phases, submitted, arXiv:2402.09054.
Cardona, D. L2-Maximal functions on graded Lie groups, to appear in IMRN (Int. Math. Res. Not.) arXiv:2401.10830.
Cardona, D. Estimates for the full maximal function on graded Lie groups, submitted, arXiv:2401.07086.
