Duván Cardona

Short Bio

Duván Cardona Sánchez (Born in Colombia, 18 April 1992) is a Colombian mathematician currently holding a postdoctoral position at Ghent University, Belgium, supported by the prestigious FWO Fellowship of the Research Foundation – Flanders (FWO). Since 2022, he has been the Scientific Director of ICMAM Latin America (International Community of Mathematicians from Latin America), and in 2024, he became the youngest member ever elected to the Board of Directors of ISAAC (International Society for Analysis, its Applications and Computation).

In 2025, he was awarded the ISAAC President's Award for Young ISAACs for outstanding research achievements, he joined the Board of the Young Academy of the Colombian Academy of Exact, Physical and Natural Sciences and he has joined the Commission on Applied and Industrial Mathematics (CMAI) of the Colombian Mathematical Society. He has been a referee for numerous international journals and a reviewer for the Colombian Ministry of Science and Technology since 2020. He received the Yu Takeuchi Honourable Mention in 2018 and was named Colombia's Top Junior Researcher in Mathematics (2016–2018) by the Colombian Academy of Sciences.

He is actively involved in international dissemination and co-organization of conferences, workshops, and seminars connecting mathematical communities across Latin America, USA, Europe, Africa and Asia (ICMAM Events). He has been a scientific visitor at several leading institutions such as UCLA, the Hausdorff Center for Mathematics, the Deusto Institute of Science and Technology, and Imperial College London.

His areas of expertise lie in Harmonic Analysis, Partial Differential Equations, Pseudo-differential Operators, Fourier Integral Operators, and Control Theory. He has authored nearly 100 papers, including several in top-tier journals (IMRN, Mathematische Zeitschrift, Pure and Applied Analysis, Journal of Geometric Analysis, J. Fourier Analysis and its Applications, etc.) and four books. According to Google Scholar, his h-index is 13 (i-index=19), and his work has received over 500 citations.

Academic Positions - Professional Experience

2023-2026. Postdoctoral Fellow of the Research Foundation – Flanders (FWO) at Ghent University; Krijgslaan 281, Building S8, B 9000 Ghent-Belgium.
2019-2023. Doctoral student. Ghent University. Department of Mathematics: Analysis, Logic and Discrete Mathematics. Ghent-Belgium.
24 April - 29 July, 2022. Research Internship. Chair of Computational Mathematics at Deusto Institute of Technology, Bilbao, Basque Country (Spain).
2017-2018. Lecturer. Pontificia Universidad Javeriana. Mathematics Department. Bogotá-Colombia.
2014-I/2015-2017. Graduate Assistant. Universidad de los Andes. Mathematics Department. Bogotá-Colombia.
2008-2013. Student/Bachelor. Universidad del Valle. Cali-Colombia.

Schools and Degrees

Doctor of Science: Mathematics (Doctor in de Wetenschappen: wiskunde). Ghent University, Belgium. 2023.
Advisor: Prof. Dr Michael Ruzhansky. Co-Advisor: Prof. Dr Julio Delgado.

Thesis: Contributions to the theory of pseudo-differential operators: from compact to graded Lie groups. (410 Pages).
Video of my defense.
Jury: Elmar Schrohe (Leibniz Universität Hannover), Sylvie Paycha (Universität Potsdam), Simon Scott (King's College London), Hans Vernaeve (Ghent University), Denis Constales (Ghent University), Bart De Bruyn (Ghent University).
Bachelor in Mathematics. Universidad del Valle, Cali-Colombia. 2015.
Advisor: Julio Delgado. Imperial College London, 2012-2019. (Current address: Universidad del Valle).
Thesis: Invertibilidad de operadores pseudo-diferenciales no elípticos.
Jury: José Raúl Quintero (Universidad del Valle), Guillermo Restrepo Sierra (in memoriam).
Score: Meritorious.

Research Visits

September 2024: UCLA, Department of Mathematics.
Mentor: Prof. Dr. Terence Tao.
25 April-29 July, 2022: Chair of Computational Mathematics of Deusto Foundation at University of Deusto and Deusto Institute of Science and Technology, Bilbao (Basque Country, Spain).
Mentor: Prof. Dr. Enrique Zuazua.
September 2016: Mathematics Department, Imperial College of Science and Technology, London-UK.
Mentor: Prof. Dr. Michael Ruzhansky.

Awards and Honors

2025. President’s Award for Young ISAACs, awarded by the International Society for Analysis, its Applications and Computation (ISAAC).
Global Minds Fund (GMF) International Grant 2025. Website here.
Global Minds Fund (GMF) International Grant 2024. Website here.
"Soy Egresado Soy Univalle" Distinction 2024. Universidad del Valle (Cali-Colombia), for the social impact of ICMAM Latin America as its Scientific Director. Watch the video.
FWO Postdoctoral Fellowship, 2023-2026. Awarded by the Research Foundation - Flanders (Fonds Wetenschappelijk Onderzoek - Vlaanderen, FWO). More details here.
2024 IMU-CDC Conference Support Program Grant. Awarded by the International Mathematical Union (IMU). More details here.
Young Researcher - Heidelberg Laureate Forum: Young researcher chosen to participate of the Heidelberg Laureate Forum. Event organized by the Heidelberg Laureate Forum Foundation (HLFF), Germany, 2020 & 2021.
Reviewer (Par evaluador) for the Ministry of Sciences, Technology, and Innovation of Colombia. Colombian Science Ministry, 2020-. More details here.
Honorable mention of the Yu-Takeuchi Prize. Awarded by the Colombian Academy of Sciences. More details here. Academia Colombiana de Ciencias Exactas, Físicas y Naturales, Dec- 03- 2018, Bogotá-Colombia.
Silver Medal at Olimpiada Universitaria de Matemáticas, UAO-Colombia, 2009.

Service to the Scientific Community and Institutional Responsibilities

2025-2027. Auditor of the 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–now. Board Member of the Commission on Applied and Industrial Mathematics (CMAI) of the Colombian Mathematical Society: More details here.
2025-Now. Editor in Chief, Newsletter of UMALCA (Mathematical Union for Latin America and the Caribbean)
2024-Now. Board member of the International Society for Analysis, its Applications and Computation (ISAAC), holding the record as the youngest appointee for this position in ISAAC’s history. More details here.
2023-now. Board Member of ICMAM for Central America and the Caribbean: More details here.
2023-2026. Working Group Member of CaLISTA: COST Action CA21109 “Cartan Geometry, Lie, Integrable Systems, quantum group Theories for Applications”, European Cooperation in Science & Technology, Horizon 2020, European Union. More details here.
Scientific Director of ICMAM Latin America (2022-): More details here.
President of the Scientific Board - ICMAM Latin America (2022-2024): More details here.
(2022-now) Member of the ISAAC Group in Partial Differential Equations.
(2021-now) Member of the BMS: Belgian Mathematical Society.
(2021-∞) Life Member of the ISAAC: International Society for Analysis, its Applications and Computation.

Editorial Board

2022-now
Editor in Chief
ICMAM Latin America Springer Book Series
2025-now
Member of the Editorial Board
Georgian Mathematical Journal
founded by the Georgian National Academy of Sciences and by the A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter.
2023-now
Assistant Editor
Book Series: Research Perspectives Ghent Analysis and PDE Center
Trends in Mathematics, Birkhäuser-Springer
2024-now
Member of the Editorial Committee
Selecciones Matemáticas
Scientific Journal of the Department of Mathematics of the National University of Trujillo, Perú.

Books

Book
Cardona, D. Grajales B., (Editors).
Analysis and PDE in Latin America, ICMAM 2023-2024 Latin America
to appear in Research Perspectives: Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser-Springer, 2025
Memoir
Cardona, D., Ruzhansky, M., (Authors).
Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups
to appear in MSJ Memoirs, Mathematical Society of Japan, arXiv:2008.09651
180 Pages
Book
Cardona, D. Grajales B., (Editors).
Analysis and PDE in Latin America, ICMAM 2022 Latin America
Research Perspectives: Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser-Springer, 2024
Book
Cardona, D. Restrepo, J. Ruzhansky, M., (Editors).
Extended Abstracts 2021/2022, Methusalem Lectures
Research Perspectives: Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser-Springer, 2023.

Conferences Organised or Scientific Committee Member

2nd Colombian Workshop in Nonlinear Dispersive Equations, 10-13 December 2025: Member of the Scientific Committee.
ICMAM Central America and the Caribbean 2025, 13-17 October 2025: Member of the International Advisory Committee.
ICMAM Satellite Conference in Analysis and PDE for Central America and the Caribbean, 14-18 July 2025: Member of the International Advisory Committee.
Advances in Mathematical Physics: Methods and Applications, 19-20 August 2025: Member of the organising committee. Organised by the Ghent Analysis and PDE Centre in cooperation with V.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, and the ICMAM Latin America.
Global Minds in Pseudo-Differential Analysis, 25-28 April 2025: Member of the organising committee. Ghent University, Belgium.
ISAAC-ICMAM Conference of Analysis in Developing Countries, 2-6 December 2024: Conference in Tribute to the Mathematical Career of Luigi Rodino. Chair of the Conference.
ISAAC-ICMAM Conference of Women in Mathematics 2024: Member of the scientific committee.
ICMAM Latin America 2024, Cali-Colombia: Supported by the Conference Support Program of the International Mathematical Union. Chair of the organising committee. Speakers: Pierre Louis Lions, Carlos Kenig, Hiraku Nakajima, Efim Zelmanov, Avi Wigderson, Peter Sarnak, etc. Complete list of speakers here.
Trends in Mathematical Sciences: Friedrich-Alexander-Universität, Erlangen-Nürnberg, June 10-14, 2024. Member of the Organising Committee.
ICMAM Latin America Satellite Conference on Data Science, AI and Machine Learning: Member of the Scientific Board. Speakers: Enrique Zuazua, Macarena Estevez, Camelia Goga, Biswaranjan Senapati. Member of the scientific committee.
ICMAM Latin America Satellite Conference on Analysis and PDE 2023, 10-14 October 2023: Chair of the Organising Committee. Speakers: Charles Fefferman, Monica Visan, Tobias Colding, Felipe Linares, Michael Ruzhansky, etc.
ICMAM Latin America Satellite Conference on Algebra, Combinatorics and Number Theory 2023, 27-29 September 2023: President of the Scientific Board. Speakers: Emanuel Carneiro, Kristin Lauter, Cesar Ceballos, etc.
ICMAM 2022 Latin America: International Conference: Multidisciplinary Aspects in Mathematics and its applications, 25-28 October 2022: Universidad del Valle. Department of Mathematics. Plenary: Terence Tao, Michael Ruzhansky, David Dos Santos Ferreira, Enrique Zuazua, Simon Donaldson, Carlos Kenig, Tatiana Toro, Harald Helfgott. President of the Scientific Board.
London-Ghent Microlocal Analysis Workshop, 23-24 March 2022: Ghent Analysis & PDE Center and Imperial College London (organising committee: D. Cardona, L. Read, D. S. Gómez Cobos, M. Chatzakou), Ghent-Belgium, London-UK.
CONVImaTE 2022 open to Latin-America, 24-28 January 2022: Member of the scientific committee (Analysis and PDE session: D. Cardona and J. R. Quintero) and member of the organising committee, Department of Mathematics, Universidad del Valle, Cali-Colombia.
International Conference on noncommutative analysis, 18-20 August 2020: Ghent Analysis & PDE Center (organising committee: D. Cardona, M. Chatzakou, J. Huang, B. Sabitbek, V. Kumar, and M. Ruzhansky) Ghent-Belgium.
International Conference on Pseudo-differential Operators, 7-8 July 2020: Ghent Analysis & PDE Center (organising committee: D. Cardona, M. Chatzakou, S. Federico, J. Huang, B. Sabitbek, D. Rottensteiner, M. Ruzhansky), Ghent-Belgium.
International conference: Multidisciplinary Aspects in Mathematics and its applications, 29-31 August 2020: Universidad del Valle. Department of Mathematics. Organising committee: D. Cardona (Chair), S. Troncoso (Co-chair), L. Posada (Univalle), M. Paredes (Univalle), Cali-Colombia.

Seminars Co-organised

Mathematics & Memory: A seminar on Analysis and PDE for Latin America (Starting from March 2024).
Ghent Methusalem Microlocal Day #9: 5 March 2024.
Ghent Geometric Analysis Seminar at Ghent University: (Starting from April of 2022). Organisers: Duván Cardona, Gihyun Lee, David Santiago Gómez Cóbos.
Ghent Methusalem Junior Seminar at Ghent University: (February 2021/March 2023).
Ghent Methusalem Microlocal Day #8: 17 February 2023. Ghent University. Organisers: D. Cardona & B. Grajales. Previous Microlocal days at the Imperial College London and at Ghent university: #1 #2 #3 #4 #5 #6 #7.
CONVImaTE 2022: Winter courses on pure and applied mathematics. (Big Data, PDE and Pseudo-differential Operators. Chair. Organisers: Julio Delgado, Duván Cardona, Karina Navarro, Liliana Esquivel. Open virtual version for Latin-America. Department of Mathematics, Universidad del Valle, Cali-Colombia.

Selected Publications

Selected Books/Memoirs:

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. More details here.

Selected Manuscripts/Scientific Reports:

Cardona, D. L2-Maximal functions on graded Lie groups, to appear in IMRN (Int. Math. Res. Not.), arXiv:2401.10830. More details here.
Cardona, D., Delgado, J., Ruzhansky, M. Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups, to appear in J. Geom. Anal., arXiv:2209.12092. More details here.
Cardona, D., Delgado, J., Ruzhansky, M. Boundedness of the dyadic maximal function on graded Lie groups, to appear in Quart. J. Math., arXiv:2301.08964. More details here.
Cardona, D., Ruzhansky, M. Björk-Sjölin condition for strongly singular convolution operators on graded Lie groups, Math. Z. 302, 1957–1981 (2022), arXiv:2205.03456. More details here.
Cardona, D., Federico, S., Ruzhansky, M. Subelliptic sharp Gårding inequality on compact Lie groups, to appear in Pure Appl. Anal., arXiv:2110.00838. More details here.
Cardona, D., Delgado, J., Ruzhansky, M. A note on the local Weyl formula on compact Lie groups, to appear in J. Lie Theory, arXiv:2210.00311. More details here.
Cardona, D., Ruzhansky, M. Oscillating singular integral operators on compact Lie groups revisited, Math. Z. Vol. 303, 26 (2023), arXiv:2202.10531. More details here.
Cardona, D., Ruzhansky, M. Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups, to appear in Potential Analysis, arXiv:1610.04701. More details here.
Cardona, D., Ruzhansky, M. Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators, Vol. 119, 189–198 (2022), Arch. Math., arXiv:2104.09695. More details here.
Cardona, D., Delgado, J., Ruzhansky, M. Lp-bounds for pseudo-differential operators on graded Lie groups, J. Geom. Anal. Vol. 31, 11603-11647 (2021), arXiv:1911.03397. More details here.
Cardona, D., Delgado, J., Grajales, B., Ruzhansky, M. Control of the Cauchy problem on Hilbert spaces: a global approach via symbol criteria, Commun. Pure Appl. Anal., Vol. 22(11), 3295-3329 (2023), arXiv:2301.08999. More details here.
Cardona, D., Esquivel, L. On the Benjamin Ono equation in the half line, Nonlinear Analysis. Vol. 212, Art. 112427 (2021), arXiv:2101.06992. More details here.
Cardona, D., Kumar, V. The nuclear trace of vector-valued pseudo-differential operators with applications to Index theory, Math. Nachr. Vol. 294(9), 1657-1683 (2021), arXiv:1901.10010. More details here.
Cardona, D. Nuclear pseudo-differential operators in Besov spaces on compact Lie groups, J. Fourier Anal. Appl. Vol 23(5), (2017), 1238-1262, arXiv:1610.09042. More details here.
Cardona, D. On the boundedness of periodic pseudo-differential operators, Monatsh. Math. Vol. 185(2), 189-206 (2018), arXiv:1701.08184. More details here.
Cardona, D. Besov continuity of pseudo-differential operators on compact Lie groups revisited, C. R. Math. Acad. Sci. Paris. Vol. 355(5), 533—537 (2017), arXiv:1701.08184. More details here.

Referee reviewer for

Mathematical Reviews/MathSciNet. American Mathematical Society (AMS), [ISSN: 2167-5163 ], 2019-.
Zentralblatt MATH/ European Mathematical Society (EMS)/ FIZ Karlsruhe/ Heidelberg Academy of Sciences, [ISSN: 1436-3356] 2020-.
Journal of the European Mathematical Society, 2023-.
Journal of the London Mathematical Society, 2022-.
Mathematische Annalen. Springer, 2020-.
Journal of Geometric Analysis, Springer, 2023-.
Comptes Rendus Mathématique. Institute de France, Académie des sciences, 2021-.
Annals of Global Analysis and Geometry. Springer, 2021-.
(IMRN) International Mathematics Research Notices. Oxford University Press, 2021-.
Proceedings of the American Mathematical Society, 2025-.
Proceedings of the Royal Society: Series A, 2023-.
Potential Analysis., 2022-.
Journal of Functional Analysis. Elsevier, 2020-.
Journal of Fourier Analysis and Applications, Springer, 2022-.
Forum of Mathematics. Sigma. Cambridge Univ. Press., 2020-.
Documenta Mathematica. Deutsche Mathematiker-Vereinigung (DMV)., 2020-.
Mathematische Nachrichten. Wiley-VCH Verlag, Wiley, 2019-.
Annali della Scuola Normale Superiore di Pisa. Scuola Normale Superiore. Pisa, Italy., 2022-.
Monatshefte für Mathematik. Springer, 2023-.
Journal of Pseudo-Differential Operators and Applications. Springer, 2016-.
Journal of Differential equations. Elsevier, 2020-.
Calc. Var. Partial Differential Equations. Springer 2023-.
SIGMA (Symmetry, Integrability and Geometry: Methods and applications)., 2019-.
Journal of the Australian Mathematical Society. Cambridge University Press, 2018-.
Bulletin of the Australian Mathematical Society. Cambridge University Press, 2019-.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. Springer, 2022-.
Differential and Integral Equations. Khayyam, 2019-.
Nonlinear Analysis: Real World Applications, Elsevier, 2021-.
Complex Analysis and Operator Theory Springer, 2022-.
Mathematical Models and Methods in Applied Sciences, World Scientific, 2021-.
Acta Mathematica Scientia, Wuhan Inst. Phys. and Math. & Chinese Acad. Sci., Springer, 2020-.
The Journal of the Indian Mathematical Society. The Indian Mathematical Society, 2021-.
Res. Inst. Math. Sci. (RIMS). Kyoto University, Japan., 2018-.
Analysis and Mathematical Physics. Springer, 2021-.
Open Physics. De Gruyter, 2021.
Georgian Mathematical Journal. De Gruyter, 2022-.
Banach Journal of Mathematical Analysis. Springer, 2023-.
Annals of Functional Analysis. Springer, 2023-.
Vietnam Journal of Mathematics. Springer, 2022-.
Journal of Dynamics and Differential Equations. Springer 2021-.
Rendiconti del Circolo Matematico di Palermo Series 2, Springer 2023-.
Revista Integración, Temas de Matemáticas. Edited by Universidad Industrial de Santander (UIS), Colombia, 2023-.
Selecciones Matemáticas, 2024-. Edited by National University of Trujillo, Peru.

Supervision of Students

Since 2025
PhD Student. Frederick Opoku
Kwame Nkrumah University of Science and Technology (KNUST), Ghana
Since 2023
PhD Student. Celimo Alexander Peña Rengifo
Universidad del Valle, Colombia
Since 2024
Master Student. Rafik Yeghoyan
Ghent University, Belgium
Since 2025
Master student. Sara Luna Ruíz Montoya
University of Europe for Applied Sciences, Germany
Since 2024
Bachelor student. Manuel Alejandro Martínez Florez
Universidad del Valle de Guatemala, Guatemala
Since 2025
Bachelor student. Nestor Steven Quevedo
Pontificia Universidad Javeriana, Colombia

Teaching

2014-2024. All levels (undergraduate, master and doctoral students).

Pontificia Universidad Javeriana (2017-2018)

Role: Professor in charge

Integral Calculus (2017-2018), Differential Calculus, Differential Equations, Linear Algebra

University of Los Andes (2014-2017)

Role: Teaching Assistant

Integral Calculus, Vector Calculus, Linear Algebra

Ghent University (2019;2024)

Role: Tutor

Analysis (Master's Level)

Students: Master and PhD students. Type of Students: Graduate students specialising in mathematics.

Universidad del Valle (2009-2013)

Role: Tutor

Courses taught:
- Euclidean Geometry (2009)
- Pre-Calculus (2009)
- Group Theory (2010)
- Rings and Fields (2011)
- Real Analysis (2012, 2013)

Selected Grants for Short Visits

2025
FWO Travel Grant (K183725N)
Travel grant awarded by the Research Foundation -- Flanders (FWO) to deliver a talk at the 15th ISAAC Congress in Astana, Kazakhstan, and to receive the ISAAC President's Award 2025.
2023
FWO Grant for research visits
2023
Travel Grant
300 €
34th Brazilian Mathematics Colloquium, IMPA (Institute of Pure and Applied Mathematics), Rio de Janeiro, Brazil. July 24-28, 2023.
2023
Travel Grant
Conference Harmonic Analysis and Partial Differential Equations (on the occasion of 60th birthday of Herbert Koch), Hausdorff Center for Mathematics, Bonn-Germany, May 29-June 2, 2023.

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