We are pleased to announce the first BeNeLux PDE Seminar, which will take place on Friday, 11 September 2026, at Ghent University.
The seminar aims to bring together researchers in partial differential equations and related fields from Belgium, the Netherlands, and Luxembourg. Participants will present their current research interests and recent results in short talks, providing an opportunity to exchange ideas and strengthen collaborations within the BeNeLux PDE community.
Participation is free, but registration is required.
We are pleased to share a recent interview featuring Dr. Bolys Sabitbek, postdoctoral researcher at the Ghent Analysis & PDE Center, Ghent University, discussing the role of mathematics in modern decision-making, artificial intelligence, and the future of scientific research.
The discussion was recorded as part of the Mirror Lab within Alem AI initiative and explores how mathematical thinking contributes to solving complex real-world problems. The conversation also reflects on the development of science and research in Kazakhstan and the growing importance of international collaboration in mathematics, AI, and related disciplines.
At the Ghent Analysis & PDE Center, we are committed to advancing research in analysis, partial differential equations, harmonic analysis, spectral theory, and related fields while fostering connections with emerging areas such as artificial intelligence and data-driven scientific discovery.
We congratulate Dr. Sabitbek on this excellent outreach contribution and thank the organizers for highlighting the impact of mathematical sciences on contemporary research and innovation.
We are delighted to announce that on 22 June 2026, in Brussels, a Memorandum of Understanding was signed between the Minister of Artificial Intelligence and Digital Development of the Republic of Kazakhstan, the Minister of Science and Higher Education of the Republic of Kazakhstan, and the Rector of Ghent University.
At the heart of this agreement lies an exciting new initiative: the establishment of a Mirror Laboratory in Kazakhstan to our Ghent Analysis & PDE Centre. It will focus on matching research to what is done in Ghent, in the fields of mathematics, artificial intelligence, modelling, and engineering computation. Based at the International Center for Artificial Intelligence Alem AI, the Mirror Lab is a joint venture of the Ghent Analysis & PDE Center at Ghent University and the Institute of Mathematics and Mathematical Modeling, uniting two leading research communities under one shared ambition.
The partnership opens the door to joint research projects, academic exchanges and research internships, including through the Bolashak International Scholarship Programme, and a vibrant programme of conferences, seminars, and workshops connecting researchers in Kazakhstan and at Ghent University. Notably, researchers will be free to contribute remotely or from their home institutions, reflecting a modern, open vision of scientific collaboration.
This is a milestone moment — the beginning of a long and fruitful chapter in mathematical sciences, built on equality, academic freedom, and a shared commitment to discovery.
Speaker:Alexandre Kirilov Affiliation: Universidade Federal do Paraná
Title: Global Properties for Systems in Time‑Periodic Gelfand‑Shilov Spaces
Abstract: Time‑periodic Gelfand‑Shilov spaces provide a natural framework for the analysis of evolution equations combining periodic behavior in time with strong regularity and decay properties in the spatial variables. Introduced by F. de Ávila Silva and M. Cappiello, these spaces make it possible to extend techniques from compact settings to a non‑compact framework, while also revealing new phenomena in the study of regularity and solvability.
In this talk, I will focus on global hypoellipticity and solvability for operators and systems of evolution equations in this setting. I will present recent joint results, including sharp characterizations for systems, and briefly comment on ongoing work. Perspectives for extending these results beyond the torus, in particular toward more general geometric settings, will also be discussed.
References:
F. de Ávila Silva and M. Cappiello, Time‑periodic Gelfand‑Shilov spaces and global hypoellipticity on , J. Funct. Anal. 282 (9) (2022), Article 109418.
F. de Ávila Silva and M. Cappiello, Globally solvable time‑periodic evolution equations in Gelfand‑Shilov classes, Math. Ann. 391(1) (2025), 399–430.
F. de Ávila Silva, M. Cappiello and A. Kirilov, Global hypoellipticity for systems in time‑periodic Gelfand‑Shilov spaces, J. Funct. Anal. 290 (6) (2026), Article 111300.
F. de Ávila Silva, M. Cappiello and A. Kirilov, Systems of differential operators in time‑periodic Gelfand‑Shilov spaces, Ann. Mat. Pur. Appl. 204 (2025), 643–665.
Date and Time: April, 24, 2026. at 14:00 (CET) Location: Campus Sterre S8, Auditorium 3.1
We are delighted to celebrate the successful PhD defense of Zhipeng, who presented his dissertation on the topic:
Multipliers on Lie Groups of exponential growth
We wish Zhipeng every success in his future academic endeavors. May his mathematical journey be marked by impactful discoveries, fruitful collaborations, and continued contributions to the advancement of our field.
Supervisors: Prof. Yulia Kuznetsova and Prof. Micheal Ruzhansky
Examiners: Prof. Jean-Philippe Anker, Dr. Marianna Chatzakou, Prof. Olivier Fouquet, Prof. Angela Pasquale, Prof. Quanhua Xu.
Ever wondered why the square root of π appears in the most unexpected places in Analysis and PDEs?
Once upon a time in the Land of Analysis, there lived a terrifying, seemingly unsolvable Gaussian integral, mocking all who dared challenge it. The mightiest heroes of Partial Differential Equations, Fourier, the masked superhero Laplacian, and even the chaotic gremlin Delta Function, were each defeated by their resepected weak-points.
Just when hope was lost, the wise, ancient sage π ARRIVES, revealing the ultimate “The Trick.” By teaching the mathematicians to “think in two dimensions” and use the geometry of Polar Coordinates, π unlocked the power of the circle. The battlefield rotated, the monster collapsed, and the secret weapon was revealed… it was circles all along! Happy Pi Day!
We are delighted to celebrate the successful PhD defense of Santiago, who presented his dissertation on the topic:
Pseudo-differential operators and spectral multipliers on non-Euclidean settings
Academic Achievement
Throughout these years, Santiago has demonstrated an outstanding level of dedication to his research, characterized by profound scientific curiosity and notable perseverance. His work has been published in prestigious journals, including the Journal of the London Mathematical Society and the Comptes Rendus de l’Académie des Sciences (Paris), reflecting the high quality and impact of his contributions to the field.
Santiago has contributed to the Banach Space and Banach Algebra course over the past three years by leading exercise sessions and assisting students in developing a deeper understanding of the material through carefully prepared problems and practical applications.
We wish Santiago every success in his future academic endeavors. May his mathematical journey be marked by impactful discoveries, fruitful collaborations, and continued contributions to the advancement of our field.
We are pleased to share highlights from a recent meeting with the Ambassador of the Republic of Kazakhstan and the Rector of Ghent University, focused on strengthening academic ties and advancing joint research activities between Kazakhstan and Ghent University.
Roman Vassilenko (Ambassador) and Prof. Petra De Sutter (Rector)
During the meeting, Prof. Michael Ruzhansky gave a brief presentation outlining our ongoing and planned collaboration in analysis and partial differential equations, emphasizing the scientific scope of the partnership and its potential for long-term impact. The discussion also covered concrete pathways for deeper cooperation, including research visits, joint events, and opportunities for early-career researchers.
After 18 wonderful months in our research group, we are saying farewell to Arshyn as he begins his next chapter.
Arshyn, thank you for the dedication, the ideas, and the steady, positive energy you brought into our research center.
In these 18 months you were remarkably productive: seven preprints took shape during your stay, and you also won a research grant in Kazakhstan. That kind of focus is rare—and it lifted the pace of the whole group. Your work, and the way you shared it, made a clear difference.
As you move on, we wish you good luck and continued success. We hope you keep this momentum, find new problems worth your attention, and keep building strong collaborations around you.
We are pleased to announce a workshop on Fractional Partial Differential Equations and Related Topics, jointly organized by the Ghent Analysis & PDE Center and the FracDiff Research Group at Sultan Qaboos University.
The workshop aims to bring together researchers and practitioners to discuss recent developments, theoretical advances, and applications in fractional PDEs and related areas.
Workshop Chair: Dr. Sebti Kerbal, Leader of the FracDiff Research Group, Department of Mathematics, Sultan Qaboos University
Date: February 10, 2026
Venue: Department Resource Room 0135, Department of Mathematics, Sultan Qaboos University
Speakers
Professor Michael Ruzhansky (Ghent University, Belgium)
Professor Erkinjon Karimov (Ghent University, Belgium)
Dr. Nasir Hanifa (Sultan Qaboos University, Oman)
Dr. Mariam Al-Maskari (Sultan Qaboos University, Oman)
Schedule
14:00 – 15:00 | Professor Michael Ruzhansky “Fujita exponent for heat equations for groups and sums of squares”
15:00 – 15:30 | Professor Erkinjon Karimov “Green’s Function and Solution Representation for a Boundary Value Problem Involving the Prabhakar Fractional Derivative”
15:30 – 16:00 | Coffee Break
16:00 – 16:30 | Dr. Haniffa Mohamed Nasir. “A(0) and A(\pi/2) stabilities of fractional LMMs for fractional IVPs and applications“
16:30 – 17:00 | Dr. Mariam Al-Maskari.“Fractional Cahn-Hilliard equations: Analysis, Stochastic effects, and Numerical Perspectives“
Ghent Analysis & PDE Center 