Research & Global Engagement: I am an FWO Research Fellow at Ghent University, funded by the Research Foundation Flanders (FWO). 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 conducted a research visit to UCLA under the supervision of Terence Tao. 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). 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 M. Ruzhansky and J. Delgado.
Member of the Young Academy of the Colombian Academy of Exact, Physical and Natural Sciences.
Contact: duvanc306[at]gmail.com | duvan.cardonasanchez[at]ugent.be
Some recent activities: I am extremely happy to have been chosen for the President's Award of the International Society for Analysis, its Applications and Computation (ISAAC) for 2025, as well as for being elected to the Board of the Commission on Applied and Industrial Mathematics (CMAI) of the Colombian Mathematical Society. This year I will be organising the project of cooperation between Belgium and Colombia: Global Minds in Pseudo-Differential Analysis to be held on 25-29 of April 2025. Also, I will be part of the International Advisory Board of the ICMAM Satellite Conference in Analysis and PDE for Central America and the Caribbean hosted by the University of El Salvador, to be held on 14-18 July 2025. Additionally, I will be part of the scientific committee of the 2nd Colombian Workshop in Nonlinear Dispersive Equations hosted by Universidad del Valle in Cali-Colombia, 10-12 December. In 2024, I was a member of the Organizing Committee for the conference: Trends in Mathematical Sciences hosted by FAU MoD in Erlangen – Bavaria, Germany. Additionally, I chaired the international conference ICMAM Latin America 2024 funded by the International Mathematical Union. I was also responsible for the organising committee of the ISAAC-ICMAM Conference of Analysis in Developing Countries, held from December 2 to 6, 2024. This hybrid conference was organized at the National University of Colombia. Further information about other conferences I have participated in, as well as my activities to promote mathematics in developing countries, can be found here. You can also find details about additional seminars, workshops, and conferences where I have served as an organizer or a member of the scientific committee here.
Some recent news:
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.
2025-2030. 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, 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: 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.
Co-authors/Co-editors:
Michael Ruzhansky, Julio Delgado, Uwe Kähler, Joachim Toft, Roland Duduchava, Brian Grajales, Vishvesh Kumar, Marianna Chatzakou, Serena Federico, Liliana Esquivel, Niyaz Tokmagambetov, César Del Corral, E. Samuel Barraza, André Kowacs, Arne Hendricks, Rekia Messiouene, Joel Restrepo, A. Senoussaoui, Andrés Felipe Muños Tello, Andrea Vanessa Hurtado Quiceno, Richard De la Cruz, Tovias Castro, Santiago Correa, Alexandre Kirilov, Wagner Augusto De Moraes, Manuel Alejandro Martínez.