I am the CEO (Chief Executive Officer) of ICMAM Latin America (International Digital Center of Mathematical Research for Latin America). I also am an Assistant Professor of Mathematics at KFUPM (King Fahd University of Petroleum and Minerals, Dhahran, Kingdom of Saudi Arabia), an Affiliated Professor at the IR Center for Industrial Nuclear Energy, and a Professor of Mathematics at Pontificia Universidad Javeriana (Xavierian Pontifical University, Bogotá-Colombia). In the period 2023-2026 I was an FWO Research Fellow at Ghent University-Belgium, working under the supervision of Prof. Michael Ruzhansky. I also was a 2026 Oberwolfach Leibniz Fellow at the Mathematical Research Institute of Oberwolfach (MFO) in Germany.  My research focuses on Harmonic Analysis, PDE, Geometric Analysis and Control theory. 

In 2024, I made a research visit to UCLA (University of California, Los Angeles) under the supervision of Prof. 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 Prof. Enrique Zuazua. I obtained my PhD in Mathematics in August 2023 under the supervision of Prof. M. Ruzhansky and of Prof. J. Delgado.  I obtained my Bachelor's degree in Mathematics from Universidad del Valle in Cali-Colombia under the supervision of  Prof. J. Delgado.

Since 2022, I have served as member of the Executive Committee of ICMAM Latin America (International Community of Mathematicians from Latin America), an organization that I have co-founded and is 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.

Contact information:  📧 duvanc306 at gmail.com | 📧 duvan.sanchez at kfupm.edu.sa |


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

• 2026-now. I have been affiliated as Scientist to  the IR Center of Industrial Nuclear Energy at KFUPM. I will have a permanent call for open postdoctoral positions for my dedicated research group at this center.
  
  

• 2026-now. Member of the Industry Relations  Advisory Committee
  KFUPM (King Fahd University of Petroleum and Minerals, Kingdom of Saudi Arabia.
  
  

• 2026. Announcement: In the article below I have proposed the bilinear smoothing conjecture and I obtain a partial progress. Also, I prove that this conjecture is implied by the celebrated local smoothing conjecture due to Sogge.
  
  Cardona, D., Local smoothing estimates for bilinear Fourier integral operators, to appear in:  Pacific J. Math. arXiv:2601.15667.
  Link
  
  Please also have a look at this talk at the Latin American Seminar of Mathematics (UMALCA-ICMAM).
  
  

• 2026; ICMAM Africa is a research organisation created for promoting mathematics in Africa. I will serve as the Executive Director of this society.

• 2026; Invited Evaluator for the National Committee of Experts, “Becas para el Cambio” Program (CV 975); Ministry of Science, Technology and Innovation of Colombia. 

• 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)

• To visit other posts, click here and explore!