We are delighted to congratulate Dr. Vishvesh Kumar on his new position at Department of Mathematical Sciences at IIT BHU Varanasi as an Assistant Professor. This is a wonderful milestone in his academic career, and a moment of pride for all of us at the Ghent Analysis & PDE Center.

Since joining our group as a postdoctoral researcher at Ghent University, Dr. Kumar has been an active and inspiring member of our community. Working within the Department of Mathematics: Analysis, Logic and Discrete Mathematics and the Ghent Analysis & PDE Center headed by Prof. Michael Ruzhansky, he has contributed significantly to our core areas of research.  

Research contributions in our group

Dr. Kumar’s research lies at the intersection of abstract harmonic analysis, pseudo-differential operators, geometric analysis, and partial differential equations on Lie groups.  

During his time in Ghent, he has:

• Co-authored numerous papers on nonlocal and subelliptic problems on stratified Lie groups, including work on Brezis–Nirenberg type problems, critical equations, and fractional Sobolev-type inequalities.  
• Made substantial contributions to the theory of damped and fractional wave equations on graded and stratified Lie groups, including results for higher order hypoelliptic equations with data in negative order Sobolev spaces.  
• Advanced functional inequalities and harmonic analysis on symmetric spaces and hypergroups, with applications to Fourier multipliers, Strichartz estimates, and related analytic inequalities.  

His work has appeared, or is forthcoming, in several respected international journals such as Journal of Evolution Equations, Mathematische Annalen, Journal of Geometric Analysis, Israel Journal of Mathematics, and others, reflecting both the depth and breadth of his contribution to our field.  

A valued colleague

On a personal level, Vishvesh has been a generous collaborator and a supportive colleague. His willingness to discuss ideas, share expertise, and encourage younger researchers and visitors has left a strong and positive impression in our group. Many of us have benefited from his clarity of thought, his calm problem-solving approach, and his enthusiasm for mathematics.

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Looking ahead

While we will miss having him at the Ghent Analysis & PDE Center, we are equally excited to see him take this next step as an Assistant Professor at IIT BHU Varanasi. We are confident that he will continue to build a vibrant research program, inspire students, and develop new collaborations that will further strengthen the links between our institutions.

Project of Scientific Cooperation Belgium-Brazil.

It is our pleasure to announce that the Ghent Analysis and PDE Center has been awarded one of the Global Minds Fund (GMF) International Grants for 2025, funded by the Research Department at Ghent University. This initiative aims to address global challenges through innovative research and dynamic collaboration. We recall that is our second successful global minds cooperation project (visit the website of our Global Minds Project 2025 here!).

Since 2017, the Federal Government allocates funds, through the office of VLIR-UOS, to the Global Minds Fund (GMF) of Ghent University. GMF operates as driver of change for sustainable development, by producing and valorising relevant knowledge and expertise through mutually beneficial partnerships.

The idea is to cooperate with several key figures of Brazilian mathematicians on a project leading to educational advancement in Brazil. This project will be valuable to pass to younger generations a significant perspective in the field of partial differential equations and control theory through the leading Brazilian partners of the project.

The project is promoted by Prof. Dr. Michael Ruzhansky (PI) and co-promoted by our FWO Postdoctoral Researchers (Co-PIs) Dr. Duvan Cardona and Dr. Marianna Chatzakou. As part of our strategic alliances we will cooperate with ICMAM Latin America (International Community of Mathematicians from Latin America) in the organisation of several virtual conferences related to this project.

About the Project

Project Title: Global Minds in PDE and Control Theory

Value of the grant: €10,000

Promotor: 
Prof. Dr. Michael Ruzhansky (PI), Ghent University.
Co-promotors: 
Dr. Duvan Cardona (Co-PI), Ghent University
Dr. Marianna Chatzakou (Co-PI), Ghent University

Global South partners: 

Prof. Dr. Jaqueline Godoy Mesquita (Universidade Estadual de Campinas, Brazil)
Prof. Dr. Paulo L. Dattori da Silva (Universidade de São Paulo, Brazil)
Prof. Dr. Alexandre Kirilov (Universidade Federal do Paraná, Brazil)
Prof. Dr. Marcelo R. Ebert (Universidade de São Paulo, Brazil)
ICMAM Latin America (International Community of Mathematicians from Latin America)

Tentative plan of activities:

1. Virtual Activities (in Brazil and in El Salvador):
   
   14th-18th July 2025: ICMAM Satellite Conference in Analysis and
   PDE for Central America and the Caribbean,
   hosted at the University of El Salvador,
   organised jointly with our group at UGent.
   
   25th-26 September 2025: ICMAM Satellite Conference in Differential Geometry 2025
   Organisers: Brian Grajales and Julieth Saavedra. Hosted by the Universidade Estadual de Maringá, Brazil.
   
   20th-24th October 2025: ICMAM Central America and the Caribbean,
   hosted at the University of El Salvador, organised jointly with our group at UGent.
   
   The goal of these conferences is the integration of Brazilian Mathematicians with the Central American Mathematical Community with the scientific cooperation of the Ghent Analysis and PDE Center, the International Society for Analysis, its Applications and Computation (ISAAC) and ICMAM Latin America
   (International Community of Mathematicians from Latin America). The organisation of these
   conferences will be supervised by the co-promotor Dr. Duván Cardona.
   
2. Editorial Project: These two conferences will receive scientific contributions from outstanding participants and speakers collected in the book:
   
   Analysis and PDE in Latin America 2025, Global Minds – ICMAM 2025,
   
   and will be submitted to the Book Series of the Ghent Analysis and PDE Center: Research Perspectives Ghent Analysis and PDE Center, Springer-Birkhäuser.
   
   
3. In-person Workshop. From April 27th to 30th 2026 (tentative schedule), the workshop:
   
   Global Minds in Partial Differential Equations and Control Theory
   
   will take place in person at Ghent University at the facilities of the Ghent Analysis and PDE Center.
   
   Visit also the website of our previous project of cooperation Belgium-Colombia: Global Minds in Pseudo-Differential Analysis 2025

Congratulations to Dr. Marianna Chatzakou on being awarded the prestigious

Senior Postdoctoral Fellowship

 by FWO that aims to provide young researchers with optimal opportunities to build an independent international research career, either within an academic context or beyond.

Congratulations to Aidyn Kassymov and Nurgissa Yessirkegenov for receiving the nomination of

The Best Researcher Kazakhstan 2024

Their exceptional research contributions have greatly advanced our understanding of various fields, making them a deserving candidate for the Best Researcher nomination in Kazakhstan for 2024. We are proud to recognize their unwavering commitment to innovation and excellence, which inspires peers and students alike. This nomination not only highlights their remarkable achievements but also underscores their significant impact on the research community in Kazakhstan.

🌟 Summer School Workshop VI 🌟

We are thrilled to invite you to a two-day mini-course by Professor Dimitris Scarpalezos from Paris Diderot University. This workshop will be the VI Summer School workshop and follows up on our recent Summer School, “Direct and Inverse Problems with Applications, and Related Topics” (August 19-23, 2024).

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Speaker:

• Dimitris Scarpalezos
  (Paris Diderot University)

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📅 Dates & Times

Thursday, November 21, 2024
🕒 14:30 – 16:30
Part I: Asymptotic scales and parametric generalized functions and their topologies

Friday, November 22, 2024
🕒 14:00 – 16:00
Part II: Roumieu generalized functions, comparison of regularities, and conditions for equalities

📍 Location:
Lecture Room 3.2, Building S8, Campus Sterre 🏫

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This workshop offers a unique opportunity to delve into the specialized world of asymptotic and generalized function theory, focusing on parametric scales and regularity comparisons. Join us for an in-depth exploration of advanced topics in generalized functions and asymptotic analysis. 📖

#SummerSchool2024 #MathematicsWorkshop #GeneralizedFunctions #AsymptoticAnalysis #ParametricMethods

🌟 Summer School Workshop IV 🌟

Following the success of our recent Summer School “Direct and Inverse Problems with Applications, and Related Topics” (August 19-23, 2024), we are pleased to invite you to a two-day workshop featuring a series of mini-lectures by Professor Federica Dragoni (https://profiles.cardiff.ac.uk/staff/dragonif) from Cardiff University.

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Speaker:

• Federica Dragoni
  (Cardiff University)

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📅 Dates & Times:

1. Thursday, November 14, 2024
14:30 – 16:30

• Part I: The Euclidean case – Euclidean distance semiconcavity and viscosity solutions
• Part II: Carnot groups – introduction, the homogeneous distance, and the CC distance

2. Friday, November 15, 2024
14:30 – 16:30

• Part III: Horizontal convexity/semiconcavity
• Part IV: Results and a sketch of the proof for ideal groups

📍 Location:
Lecture Room 3.2, Building S8, Campus Sterre 🏫

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This workshop is an excellent opportunity to engage with advanced topics in geometric analysis, including recent developments in distance and convexity analysis within Euclidean and non-Euclidean frameworks. 📖

#SummerSchool2024 #MathematicsWorkshop #InverseProblems #PDEs #GeometricAnalysis

🌟 Summer School Workshop V 🌟

As a follow-up to the Summer School “Direct and Inverse Problems with Applications, and Related Topics” (August 19-23, 2024), we are organising a two-day workshop featuring mini-lectures by Professor Yulia Kuznetsova from the Université de Franche-Comté.

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Speaker:

• Yulia Kuznetsova
  (Université de Franche-Comté)

The topic of the lectures: “An overview of dualities in noncommutative harmonic analysis”

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📅 Dates & Times:

• Tuesday, November 19, 2024: 2:00 PM –  4:00 PM
• Wednesday, November 20, 2024: 2:00 PM –  4:00 PM

📍 Location:

Lecture Room 3.2, Building S8, Campus Sterre 🏫

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This workshop provides an excellent opportunity to delve into the intricate world of noncommutative analysis, exploring advanced concepts and techniques in a rapidly evolving field. 📖

We look forward to welcoming you! 😊

#SummerSchool2024 #MathematicsWorkshop #InverseProblems #PDEs #GeometricAnalysis

 🌟Summer School Workshop III 🌟

We are excited to host a follow-up workshop to the Summer School on “Direct and Inverse Problems with Applications, and Related Topics” ( August 19-23, 2024). This workshop will feature presentations by esteemed speakers from University College London.

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Speakers:

• Ilia Kamotski
• Valery Smyshlyaev

Joint lecture topic: Analysis of a Class of Degenerating Operators and Their Spectra: Multiscale-type Approximations

Abstract

Homogenization theory establishes that uniformly elliptic operators with rapidly oscillating periodic coefficients have operators with constant coefficients as their appropriate limits. One approach is based on applying a (scaled) Floquet-Bloch-Gelfand transform to the resolvent problem in $\mathbb{R}^n$ and then constructing uniform approximations near a singular point of the quasi-periodicity parameter. This becomes much more subtle if the coefficients are asymptotically degenerating, and the limit operator appears to be a “two-scale” one with a band-gap limit spectrum. There are diverse examples of PDE and other models displaying similar features. In this minicourse, based on [1], we review the background and introduce an abstract scheme allowing to construct such approximations for a wide class of asymptotically degenerating operators and their spectra. This is accompanied by error bounds, and illustrated this by various examples. In particular, a key example of high-contrast PDE models displays surprising links to signal processing via a novel $L^2$-isometric two-scale interpolation operator of Whittaker-Shannon type.

[1] S. Cooper, I.V. Kamotski, V.P. Smyshlyaev, Uniform asymptotics for a family of degenerating variational problems and error estimates in homogenisation theory. arXiv:2307.13151 (2023) 

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📅 Dates & Times:

• Monday, November 4, 2024: 2:30 PM – 4:30 PM
• Tuesday, November 5, 2024: 2:30 PM – 4:30 PM

📍 Location: Lecture Room 3.2, Building S8, Campus Sterre

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#SummerSchool2024 #MathematicsWorkshop #InverseProblems #PDEs #GeometricAnalysis