New Remote Lab of Ghent Analysis and PDE Center

We are pleased to inform you that the remote lab of our Ghent Analysis and PDE Center in Armenia has received the second grant under the program “Adjunct Research Professorship Program (Remote Lab) 2023-2028” of Armenia:
http://scs.am/en/resultsofgrants

Interestingly, this was the only funded program in Mathematics:
http://scs.am/files/cank-eng-1664a2-01.09.23.pdf

The topic of this project is “Analysis on groups, and applications“.

This complements the earlier ADVANCE Research Grant from the FAST Foundation that we received for the project “Partial Differential Equations with Singularities” for the period 2023-2027: https://fast.foundation/en/program/847/2022/new_tab/6586/7034

This increases the size of our remote lab in Armenia to the total of 14 people, with a funding of about 1,000,000 USD for the period of 4-5 years. 

We are also happy to note that the researchers employed in Armenia under these grants (Armenian and foreign) are 50% women and 50% men.

Further information and details on the activity of the remote lab will be available soon.

PI: Prof Michael Ruzhansky

International coordination: Dr Zhirayr Avetisyan

Local coordination: Dr Karen Keryan

Summer School Workshop “Modern Problems in PDEs and Applications”

Summer School Workshop “Modern Problems in PDEs and Applications”

11 August 2023

Ghent Analysis & PDE Center

Ghent University

Description

This event will serve as a complement of the upcoming Summer School “Modern Problems in PDEs and Applications”. In this space, some visitors and participants of the school will have the opportunity to deliver a talk on their current research.

Planned Lecturers:

  • Julio Delgado
  • Duván Cardona
  • Nurgissa Yessirkegenov
  • Alibek Yeskermessuly
  • Markos Yimer
  • Yergen Aikyn
  • Asselya Smadiyeva 
  • Yerkin Shaimerdenov

Program

Abstracts

Organisers (Ghent Analysis & PDE Center)

Scientific Committee

Prof. Michael Ruzhansky, Prof. Marian Slodicka, Prof. Hans Vernaeve, Prof. Hendrik De Bie

Support

The summer school is supported by a grant from the Ghent University: 

It is also partially supported by the FWO Odysseus and UGent Methusalem projects “Analysis and Partial Differential Equations”:

Congratulations to Xuechao Wang!

Congratulations to Xuechao Wang for obtaining

TCCLS Best Student Paper Award

In recognition for the paper “A Light-weight CNN Model for Efficient Parkinson’s Disease Diagnostics” (by Xuechao Wang, Junqing Huang, Marianna Chatzakou, Kadri Medijainen, Pille Taba, Aaro Toomela, Sven Nomm, Michael Ruzhansky)

presented at the 2023 IEEE International Symposium on Computer-Based Medical Systems (CBMS).

Congratulations to Arne Hendrickx!

Congratulations to Arne Hendrickx for obtaining

The MOE stipend

from the Ministry of Education in Taiwan. The goal of this grant and the related summer school in August at the National Sun Yat-Sen University in Kaohsiung is to learn Mandarin Chinese, get immersed in the Taiwanese culture, and get to know the academic landscape in Taiwan to facilitate and improve collaborations with Taiwanese universities.

ChatGPT about out centre

A couple of poems by GhatGPT about our centre:

In Ghent Analysis and PDE Center,
Mathematical minds come to enter
Into a world of equations and solutions,
Exploring the depths of mathematical revolutions.

From partial differential equations to harmonic analysis,
The center is a hub of mathematical prowess.
Where researchers and students alike,
Can delve into the beauty of mathematical sight.

With a passion for numbers and a love for math,
The Ghent Analysis and PDE Center is on the path
To uncovering the secrets of the mathematical world,
And inspiring future generations to unfurl.

by ChatGPT

*****

In Ghent town, where cobblestones abound,
There lies a center where math is crowned.
The Ghent Analysis and PDE Center, a place of great renown,
Where numbers and equations are explored, up and down.

From partial differential equations to harmonic analysis,
The center is a hub of mathematical prowess.
Where researchers and students come to learn,
And uncover the secrets of math’s great concern.

The beauty of the center lies in its diversity,
Bringing together minds from all over the world, with great curiosity.
To explore the depths of mathematical revolutions,
And uncover the hidden gems of mathematical solutions.

In Ghent Analysis and PDE Center,
Mathematical minds come to enter
Into a world of equations and solutions,
Exploring the depths of mathematical revolutions.

by ChatGPT

ChatGPT modified description of our Analysis & PDE Center

Ghent Analysis & PDE Center is a research group in mathematics that focuses on the study of partial differential equations (PDEs) and their applications. The group is based at Ghent University in Belgium and is led by Professor Michael Ruzhansky.

The Ghent Analysis group is particularly interested in the analysis of PDEs on manifolds, such as Lie groups, homogeneous spaces, and manifolds with singularities. They also study the properties of PDEs with variable coefficients and singularities, as well as the spectral theory of differential operators.

The group’s research has applications in a variety of fields, including mathematical physics and engineering. They have also made significant contributions to the theory of pseudo-differential operators, which are used in the study of wave propagation and scattering.

In addition to their research activities, the Ghent Analysis group is also involved in training the next generation of mathematicians. They organize seminars, workshops, and conferences to share their research findings and collaborate with other researchers in the field.

The Ghent Analysis & PDE Center at Ghent University serves as a hub for research on partial differential equations. The center brings together researchers from different disciplines to collaborate on projects related to analysis and PDEs, and provides a platform for sharing knowledge and expertise.

Overall, the Ghent Analysis & PDE Center at Ghent University is an important player in the field of mathematical analysis, particularly in the study of partial differential equations. Their work has important implications for a wide range of applications and has helped to advance our understanding of these complex mathematical objects.

Congratulations to Duván Cardona!

Congratulations to Duván Cardona for obtaining

The FWO Postdoctoral Fellowship

of The Research Foundation – Flanders (FWO).

About this fellowship: read more here!

The project: Fourier Integral Operators on Graded Lie groups.

About the project: the goal of this project is to contribute to the scientific program carried out for more than forty years (dating back to the works of Folland and Stein) in charge of extending the techniques from the Euclidean harmonic analysis to the more general setting of nilpotent Lie groups. The contribution of this project will be the construction of the theory of Fourier Integral operators (FIOs) on graded Lie groups. Developing a suitable theory of Fourier Integral Operators (FIOs) in this context will enable the solution of numerous unresolved problems in non-commutative harmonic analysis.

Keywords: Fourier Integral Operators, Microlocal Analysis, Control Theory, Harmonic Analysis, Partial Differential Equations.

Project Scope: the scope of this project involves the collaboration between the Ghent Analysis and PDE Center with a team formed by researchers from several foreign universities, including UCLA, University of Chicago, Cornell University, University of Wisconsin Madison, Queen Mary University of London, and the Imperial College London.

About Duván (visit his website here!). Duván Cardona earned his Bachelor’s degree in Mathematics from Universidad del Valle in 2015 under the supervision of Julio Delgado. He was associated as a Lecturer at different Colombian universities, such as Universidad de Los Andes and Pontificia Universidad Javeriana. In 2019, he began his doctoral studies under the supervision of Michael Ruzhansky. In 2018, he received an honorable mention from the Yu-Takeuchi Award, awarded by the Colombian Academy of Sciences. From 2022 to 2024, he will serve as the president of the scientific board for the continental project ICMAM Latin America. Adding to his achievements, he has been awarded this prestigious FWO Postdoctoral Fellowship by the FWO, Research Foundation, Flanders.

Read about Fourier Integral operators from Wikipedia here!.

Applications of Fourier Integral Operators in Real Life: Fourier integral operators serve as valuable tools for describing physical phenomena. They play a crucial role in understanding the evolution of waves over time as wave propagators. Waves, which are carriers of energy, can be observed in various domains, ranging from neuron pulses and blood flow in arteries to ocean waves. By employing Fourier integral operators, researchers can analyze and gain insights into diverse fields. For instance, in the medical field, these operators aid in the analysis of the cardiovascular system. In the realm of information theory, Fourier integral operators facilitate the study of waves like microwaves, radio waves, WiFi signals, and visible light. These operators are intrinsic mathematical objects that align with various numerical analysis techniques, enabling a comprehensive exploration of these phenomena and contributing to a deeper understanding of wave behavior and its implications in different areas of study.

Announcement of Summer School “Modern Problems in PDEs and Applications”

23 August – 2 September 2023

Ghent Analysis & PDE Center

Ghent University

Summer school website

1692777600

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until summer school

Description

The school will be devoted to the study of new techniques and approaches for solving partial differential equations, which can either be considered or arise from the physical point of view or the mathematical perspective. Both sides are extremely important since theories and methods can be developed independently, aiming to gather each other in a common objective. The summer school aims to progress and advance in the problems considered. Note that real-world problems and their applications are classical study trends in physical or mathematical modelling.

With this event, Ghent university will be a host to a diversity of cultures. The summer school will be organised in a friendly atmosphere and synergy, and it will be an excellent opportunity to promote and encourage the development of the subject in the community. Furthermore, close contact with worldwide experts will stimulate participants’ skills in independent research and collaborations with other researchers. Frequently, schools also lead to some excellent possibilities for collaborations with experts in Europe and other continents, which work on related topics. Moreover, it shall enhance further collaborations established during this program. Through these collaborations, the expertise held by the European mathematical community can grow and expand to international interest in the topic. It will bring considerable benefit in the future development of the academic career for the participants while enriching competitiveness.

Information for participants

For attending the school, the charge is 10 euro per day to cover organisational expenses. The participation of PhD candidates from Doctoral Schools at UGent, colleagues from UGent, and Lecturers is free of charge.

If you need administrative support (visa, accommodation, etc.) for your attendance, please let us know in advance. 

Public Lecture

The public lecture entitled

“Can we divide vectors? Geometric calculus in Science and Engineering”

will be given by Uwe Kähler (University of Aveiro, Portugal). Prof. Kähler is a world-leading expert on complex, Clifford, and harmonic analysis and their applications to wavelets and PDEs. He currently serves as president of the International Society for Analysis, Applications and Computation (ISAAC).

Organisers (Ghent Analysis & PDE Center)

Scientific Committee

Prof. Michael Ruzhansky, Prof. Marian Slodicka, Prof. Hans Vernaeve, Prof. Hendrik De Bie

Support

The summer school is supported by a grant from the Ghent University:

It is also partially supported by the FWO Odysseus and UGent Methusalem projects “Analysis and Partial Differential Equations”:

For more information about the doctoral school you can visit the webpage of the event.

Congratulations to Marianna and Joel!

Congratulations to Marianna Chatzakou and Joel Restrepo, they are selected to participate in the 10th Heidelberg Laureate Forum, September 24-29, 2023, obtaining the grants for their participation.

The Heidelberg Laureate Forum (HLF) is a networking conference where 200 carefully selected young researchers in mathematics and computer science spend a week interacting with the laureates of the disciplines: recipients of the Abel Prize, ACM A.M. Turing Award, ACM Prize in Computing, Fields Medal and Nevanlinna Prize. Established in 2013, the HLF is annually organized by the Heidelberg Laureate Forum Foundation (HLFF). Read more

Summary 2022

2022 was another fruitful year for our Analysis & PDE Center at Ghent University. Here, we summarise the main highlights from this year.

Some statistics:

  • Our website analysis-pde.org had more than 96,000 views since its launch in 2019
  • We had 24 speakers in Ghent Methusalem Junior Seminar for 2022
  • We had 20 speakers in Ghent Methusalem Colloquium for 2022
  • More than 290 presentations were given by our members and guests in our Analysis & PDE group seminar in 2021-2022
  • Members of our Analysis & PDE Centre in 2022 attracted two FWO Fellowships, as well as received a number of prestigious awards and prizes for their research

CLICK HERE TO SEE THE DETAILED SUMMARY