Research & Global Engagement: I am an FWO Research Fellow at Ghent University in Belgium, funded by the Research Foundation Flanders (FWO), a Professor of Mathematics at the Pontificia Universidad Javeriana (Xavierian Pontifical University, Bogotá-Colombia) and an Oberwolfach Leibniz Fellow at MFO, the Mathematical Research Institute of Oberwolfach in Germany. My research focuses on harmonic analysis, PDE, and control theory at the Ghent Analysis and PDE Center, led by Prof. Dr. Michael Ruzhansky. In 2024, I made a research visit to UCLA (University of California, Los Angeles) under the supervision of Terence Tao. Previously, in 2022, I was a member of the Chair of Computational Mathematics at the Deusto Institute of Science and Technology, under the supervision of Enrique Zuazua. I obtained my PhD in Mathematics in August 2023 under the supervision of Prof. Dr. M. Ruzhansky and of Prof. Dr. J. Delgado.  I obtained my Bachelor's degree in Mathematics from Universidad del Valle in Cali-Colombia under the supervision of  Prof. Dr. J. Delgado.

Since 2022, I have served as the Scientific Director of ICMAM Latin America (International Community of Mathematicians from Latin America), an organization dedicated to connecting mathematicians from developing countries, to increase the visibility of their scientific work and provide meaningful virtual mathematical experiences. Currently, I also serve on the Board of Directors of the International Society for Analysis, its Applications and Computation (ISAAC), and I am a member of the Applied and Industrial Mathematics Commission of the Colombian Mathematical Society.


Short Bio | Linkedin | ICMAM YouTube Channel | ORCID ID: 0000-0002-8148-2624 | Portfolio Site |

Some recent news:

• 2026; Reviewer for FPIT – Foundation for the Promotion of Research and Technology, Bank of the Republic of Colombia. 

• 2026; my talk at the Latin American Seminar of Mathematics (UMALCA-ICMAM) about the Bilinear Smoothing Conjecture for Fourier Integral Operators (announced in this paper: Link).

• 2026. I has been awarded an Oberwolfach Leibniz Fellowship by the Mathematisches Forschungsinstitut Oberwolfach (MFO, Mathematical Research Institute of Oberwolfach), Germany.

• 2026. Reviewer for Oak Ridge Associated Universities (ORAU).

• 2026. Reviewer for the Nazarbayev University Research Council (Astana, Kazakhstan).

• 2025-now. Member of the Scientific Committee, Latin American Mathematics Seminar (UMALCA-ICMAM). 

• 2025. Co-chair, Latin American Mathematics Seminar (UMALCA-ICMAM). 

• 2025-Now. Editor in Chief, Newsletter of UMALCA (Mathematical Union for Latin America and the Caribbean).

• 2025-2027. Auditor of the International Society for Analysis, its Applications and Computation ISAAC.

• 2025-2026. Member of the Young Academy of the Colombian Academy of Exact, Physical and Natural Sciences.

• 2025. President's Award of the International Society for Analysis, its Applications and Computation (ISAAC).

• 2025–2027. Member of the Commission on Applied and Industrial Mathematics (CMAI) of the Colombian Mathematical Society.

• 2024-now. 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.
MSJ Memoirs, Math. Soc. Japan, 44: 175pp. (2025). arXiv:2008.09651.
Arxiv Link
Project Euclid Link

• Here is the link for my FWO Project (2023-2026) supported by the Belgian Research Foundation FWO: FWO Project Link.

• Life Member of 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: Reviewer's Page.

• My webpage for the ERC-DyCon Project is available here!

• President of the Scientific Board, ICMAM Latin America, 2022-2024.

• Interview with Charles Fefferman (Princeton University)

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