King Philippe and Queen Mathilde visit highlights our Mathematics and AI mirror laboratory in Kazakhstan

On 13 October 2026, our mirror laboratory in mathematics and artificial intelligence was presented to King Philippe, Queen Mathilde and President Kassym-Jomart Tokayev during their visit to Alem.ai in Astana. Ghent University Rector Petra De Sutter also participated in the visit, bringing the initiative into the programme of the Belgian state visit to Kazakhstan.

Queen Mathilde, King Philippe, President Tokayev and Rector Petra De Sutter at Alem.ai. Photo credit Akorda, reproduced in Tengrinews. Read the report

Developing our mirror laboratory

Michael Ruzhansky proposed the initiative to Rector Petra De Sutter during the rectorial mission to Kazakhstan and Uzbekistan in November 2025. With her strong support, our Ghent Analysis & PDE Center worked with the rectorate, Anna Sashchenko of UGent’s Eureast Platform, the Institute of Mathematics and Mathematical Modeling in Almaty, and Alem.ai in Astana to develop the partnership.

A Memorandum of Understanding was signed in Brussels on 22 June 2026 by the UGent Rector and Kazakhstan’s ministers responsible for science and for AI and digital development. See our earlier announcement.

Discussing the Ghent–Alem.ai agreement, Kazakhstan’s Minister of Science and Higher Education, Sayasat Nurbek, stated: “Belgian specialists are especially strong in algorithms and mathematical modeling.” (Qazinform, 12 October 2026)

Our mirror laboratory in coverage of the royal visit

Kursiv’s report on the laboratory’s presentation during the royal visit, published 13 October 2026. Photograph credited to Akorda. Read the original article

Mathematics and AI developed at Ghent

The Kazakhstan laboratory is our second international laboratory in mathematics, following the existing since 2023 remote laboratory in Armenia. It is conceived as a remote extension of the Ghent Analysis & PDE Center, funded externally (our remote laboratory grants in Armenia are about 1,000,000 USD), with a research programme under our scientific direction from our center. Its remit covers mathematical analysis and partial differential equations, artificial intelligence, modelling and engineering computation, connecting fundamental research with applications.

The Parkinson’s screening direction highlighted in the news coverage builds on research developed in our group at Ghent. Xuechao Wang carried out his doctoral research here under Michael Ruzhansky’s supervision, supported first by his FWO Odysseus grant and then by Methusalem. Professor Sven Nõmm of Tallinn University of Technology (TalTech), Estonia, was external co-supervisor. Junqing Huang contributed to all five published Parkinson’s papers and shared first authorship of the LSTM-CNN study.

This work develops efficient neural networks for analysing dynamic handwriting signals and explainable AI methods that identify which parts of a handwriting trajectory influence a prediction. It provides a research foundation for further work on Parkinson’s screening, with broader clinical validation needed before medical use. The laboratory’s programme extends beyond Parkinson’s disease to wider questions in mathematics and AI.

Our biomedical imaging research also includes a 2020 study of cervical cancer patients. Working with oncology researchers, Michael Ruzhansky and Junqing Huang contributed mathematical image processing to microscopy images of red blood cells from patients undergoing radiotherapy. The methods helped clarify nanoparticle boundaries for measurement.

Within UGent, our collaboration with Professor Andre Skirtach and Dr Bogdan Parakhonskiy at the Laboratory for NanoBioTechnology includes particle-image segmentation from very small datasets. This published joint work connects mathematical and AI methods with experimental microscopy.

Selected research and doctoral work

Xuechao Wang, Junqing Huang, Marianna Chatzakou, Kadri Medijainen, Pille Taba, Aaro Toomela, Sven Nõmm and Michael Ruzhansky. A Light-weight CNN Model for Efficient Parkinson’s Disease Diagnostics. IEEE CBMS (2023), 616–621.

Xuechao Wang, Junqing Huang, Marianna Chatzakou, Sven Nõmm, Elli Valla, Kadri Medijainen, Pille Taba, Aaro Toomela and Michael Ruzhansky. Comparison of one- two- and three-dimensional CNN models for drawing-test-based diagnostics of the Parkinson’s disease. Biomedical Signal Processing and Control 87 (2024), 105436.

Xuechao Wang, Junqing Huang, Marianna Chatzakou, Kadri Medijainen, Aaro Toomela, Sven Nõmm and Michael Ruzhansky. LSTM-CNN: An efficient diagnostic network for Parkinson’s disease utilizing dynamic handwriting analysis. Computer Methods and Programs in Biomedicine 247 (2024), 108066.

Xuechao Wang, Sven Nõmm, Junqing Huang, Marianna Chatzakou and Michael Ruzhansky. An Efficient Neural Network for the Diagnosis of Parkinson’s Disease Using Dynamic Handwriting Analysis. Extended Abstracts MWCAPDE 2023, Birkhäuser (2024), 97–104.

Xuechao Wang, Sven Nõmm, Junqing Huang, Kadri Medijainen, Aaro Toomela and Michael Ruzhansky. PointExplainer: Towards transparent Parkinson’s disease diagnosis. Information Fusion 129 (2026), 104064.

Sargylana Mamaeva, Irina Kononova, Michael Ruzhansky, Petr Nikiforov, Nadezhda Nikolaeva, Alexandr Pavlov, Nyurguyna Fedorova, Junqing Huang, Motrena Semenova, Daiaana Barashkova, Lyubov Frolova and Georgy Maksimov. Using Scanning Electron Microscopy and Atomic Force Microscopy to Study the Formation of Nanoparticles on Red Blood Cell Surface in Cervical Cancer Patients. International Journal of Biomedicine 10(1) (2020), 70–75.

Marianna Chatzakou, Junqing Huang, Bogdan Parakhonskiy, Michael Ruzhansky, Andre Skirtach, Junnan Song and Xuechao Wang. Performing Particle Image Segmentation on an Extremely Small Dataset. Extended Abstracts 2021/2022: Ghent Analysis and PDE Seminar, Birkhäuser (2024), 295–304.

Xuechao Wang. Deep Learning for Dynamic Handwriting Analysis: Multi-Dimensional, Efficient, and Explainable Diagnosis of Parkinson’s Disease. Ghent University doctoral thesis, defended 23 January 2026.

Sources

First BeNeLux PDE Seminar at Ghent University

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.

👉 More information, the programme, and the registration form are available on the seminar webpage:
https://analysis-pde.org/benelux-pde-seminar/

How Mathematics Shapes Decisions: Mirror Lab within Alem AI

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 invite colleagues, students, and members of the wider scientific community to watch the interview:
Video: How Mathematics Shapes Decisions | Mirror Lab within Alem AI | Past & Future of Kazakhstan Science

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.

A Landmark Partnership in the Mathematical Sciences

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.

International Research Seminar

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:

  1. F. de Ávila Silva and M. Cappiello, Time‑periodic Gelfand‑Shilov spaces and global hypoellipticity on T×Rn, J. Funct. Anal. 282 (9) (2022), Article 109418.
  2. F. de Ávila Silva and M. Cappiello, Globally solvable time‑periodic evolution equations in Gelfand‑Shilov classes, Math. Ann. 391(1) (2025), 399–430.
  3. 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.
  4. 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

This seminar is organized within the program “Global Minds in PDE and Control Theory.”
More information about the program is available here:
👉 https://analysis-pde.org/2025/07/11/global-minds-in-pde-and-control-theory/

Congratulations to Dr. Zhipeng Song!

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.

Why does Analysis need π?

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!

Image generated by Gemini AI (Bolys Sabitbek)

Happy Pi Day from Ghent Analysis & PDE Center!

#PiDay2026 #Mathematics #GaussianIntegral #PDE

Congratulations to Dr. Santiago Gómez Cobos!

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.

Meeting with the Ambassador of Kazakhstan and the Rector of Ghent University

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.

Kazakhstan National TV interview by Dr. Bolys Sabitbek:

Link in Kazakh language : https://www.youtube.com/watch?v=S-SW1tK35mw&t=5s
Link in Russian language: https://www.youtube.com/watch?v=drfIurOEBVw&t=26s

A Warm Goodbye to Dr. Arshyn Altybay!

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.