We are thrilled to announce the outstanding achievement of Abhilash Tushir, with his successful defense of his PhD thesis, “Semi-classical Analysis of Partial Differential Equations in Lattices”! 🌟📚

It is a testament to Abhilash’s dedication, perseverance, and intellectual excellence that he has been awarded the PhD title. Under the supervision of Prof. Aparajita Dasgupta from IIT Delhi and Prof. Michael Ruzhansky from the Ghent Analysis & PDE Center, Abhilash navigated the complexities of semi-classical analysis and its applications to partial differential equations, demonstrating exceptional scholarly ability. 🌐🔍

His research delved into:

• The classical wave equation;
• The fractional Klein-Gordon equation;
• The heat equation with fractional Laplacian operator;
• The wave equation with Schrödinger operator;
• The general time-fractional diffusion equation associated with the Schrödinger operator.

This achievement not only marks the culmination of years of intense research but also represents the beginning of new opportunities and potential contributions to the scientific community. 📚🎓

Congratulations, Abhilash! We are excited to see all the great things you will accomplish in your future endeavors and wish you all the best in your continued journey of academic and professional excellence. 🥳🎉🎊

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 2024, funded by the Research Department at Ghent University. This initiative aims to address global challenges through innovative research and dynamic collaboration.

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 collaborate with several outstanding Colombian mathematicians on a project leading to educational advancement in Colombia.  This project will be valuable to pass to younger generations a significant perspective in the field of pseudo-differential operators through the leading Colombian partners of the project. This scientific plan is part of the initiatives of the Ghent Analysis and PDE Center to support mathematical research in developing countries, particularly, from Latin America. 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 Pseudo-Differential Analysis

Value of the grant: €7,500

Description: This transformative project focuses on enhancing educational opportunities in Colombia by partnering with prominent Colombian mathematicians. The aim of this project is to impart significant knowledge in the field of pseudo-differential operators to the younger generation. This initiative is part of the Ghent Analysis and PDE Center’s commitment to supporting mathematical research in developing countries, particularly in Latin America.

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. Jairo Hernández (Universidad del Norte, Colombia)
Prof. Dr. Bienvenido Barraza (Universidad del Norte, Colombia)
Prof. Dr. Carolina Neira Jiménez (National University of Colombia)
Prof. Dr. Liliana Posada (Universidad del Valle, Colombia)
ICMAM Latin America (International Community of Mathematicians from Latin America)

Locations:

• Belgium:  From April 14th to 18th 2025 (tentative), the workshop: Global Minds in Pseudo-differential Operators will take place in person at Ghent University. A minicourse on pseudo-differential operators on compact Lie groups will be given by the co-promotor Dr. Duván Cardona, and a minicourse about geometric operators on stratified groups will be given by the co-promotor Dr. Marianna Chatzakou. A day forum about Women in Pseudo-differential Operators led by Dr. Marianna Chatzakou will be part of the program to exchange ideas about the mathematical contributions of the junior and senior women mathematicians participating in the workshop. 
  
• Colombia: The workshop will be preceded and succeeded by several virtual conferences and virtual seminars involving Colombian and also other Latin American researchers in the research program about pseudo-differential operators in the Ghent Analysis and PDE Center. To allow our scientific experiences to also involve young mathematicians from Latin America, our virtual conferences, seminars, lectures, forums, and mini-courses will be organised by ICMAM Latin America (International Community of Mathematicians from Latin America). We will cooperate with this research organisation to spread all these videos among young mathematicians from Latin America.

---

Project Goals

🌱 Sustainable Development: Enhance mathematical expertise in regions with limited access to advanced training.

🌐 Knowledge Exchange and Capacity Building: Facilitate learning and collaboration by providing a platform for researchers and students from the Global South.

🔍 Integration of Advanced Techniques: Empower participants to tackle complex problems using advanced mathematical techniques.

---

Activities Overview

📅 Workshop:
From April 14th to 18th, 2025, an in-person workshop will be hosted at Ghent University. Local researchers will present their work on pseudo-differential operators, and invited Colombian researchers will share their advancements. Each day will end with a discussion forum to explore open problems and develop research collaboration plans.

🎓 Minicourses:

• Pseudo-Differential Operators on Compact Lie Groups: Led by Dr. Duván Cardona.
• Geometric Operators on Stratified Groups: Led by Dr. Marianna Chatzakou.

👩‍🔬 Special Forum:
A forum on “Women in Pseudo-Differential Operators,” led by Dr. Marianna Chatzakou, will highlight the contributions by women mathematicians in the theory of pseudo-differential operators.

💻 Virtual Engagements:
The workshop will include virtual conferences and seminars, recorded and made available on YouTube to reach young mathematicians in Latin America. We will collaborate with the International Community of Mathematicians from Latin America (ICMAM) to disseminate these videos.

Research Forum about Women in Mathematics
From April 15h to 30th, two leading women mathematicians from Colombia, namely, Dr. Liliana Posada from Universidad del Valle, and Dr. Carolina Neira from National University of Colombia will deliver several presentations leading to discussions about research of women mathematicians, particularly, in pseudo-differential operators.

---

Expected Outcomes

• 📈 Enhanced research capacity and new collaborations.
• 🌍 Empowered researchers addressing local challenges.
• 🔗 Ongoing collaboration through an online platform and joint projects.

---

Join us in making an impact through the Global Minds Fund – Explore and Valorise 2024. Together, we can drive positive change and foster a brighter future for global education and sustainable development. 🌟🌐

Let’s collaborate to explore and valorise knowledge in pseudo-differential operators and make a lasting impact on mathematical education and research in developing countries. 🌟🎓📚

We’re thrilled to have Prof. Maria Gordina from Connecticut University giving a mini-course on Infinite-dimensional Heisenberg groups! Yesterday, we delved into the first part, and today we were eager to explore the final session.

📅 Dates & Times:

• Wednesday, April 24: 3:00 PM – 5:00 PM
• Thursday, April 25: 11:30 AM – 12:30 PM

📍 Location: Leslokaal 3.1, Campus Sterre, 28, Ghent University

📝 Outline of the Mini-Course: These informative sessions cover various aspects of analysis on infinite-dimensional Heisenberg-like groups:

1. Abstract Wiener Spaces and Gaussian Measures
2. Finite-dimensional Heisenberg Groups: As Lie groups and as sub-Riemannian manifolds
3. Review of Analysis on Heisenberg Groups: Gradient estimates and log Sobolev inequalities
4. Analysis on Infinite-dimensional Heisenberg Groups

This mini-course provided an invaluable opportunity for our group members, especially for our PhD students, to deepen their understanding of this complex subject. It offers a unique opportunity for participants to actively engage in cutting-edge research within the field.

A special thank you to Prof. Maria Gordina for sharing her expertise with us. Let’s make today’s session as enlightening as yesterday’s!

---

Dear colleagues,

It is our pleasure to announce the mini-course “Infinite-dimensional Heisenberg groups” by

Prof. Maria Gordina (University of Connecticut).

Dates and times:

Wednesday 24 April, 3:00-5:00 PM

Thursday 25 April, 11:30 AM-12:30 PM

Venue: Leslokaal 3.1 (geography lecture room on 3rd floor), Campus Sterre, S8, Ghent University, Belgium

Abstract :

These series of talks will provide background on the analysis on infinite-dimensional Heisenberg-like groups.

1. ​Abstract Wiener spaces and Gaussian measures.

2. Finite-dimensional Heisenberg groups: as Lie groups and as sub-Riemannian manifolds.

3. Review of analysis on Heisenberg groups: gradient estimates and log Sobolev inequalities.

4. Analysis on infinite-dimensional Heisenberg groups.

All are welcome to attend!

Ghent Analysis and PDE Center is glad to have hosted Gihyun Lee as a postdoctoral researcher for 2 years, and now we are happy to announce that Gihyun has succeeded in obtaining a further 2+1 years postdoctoral position at the Institute for Mathematics, University of Potsdam! 👏👏👏

It is always good to see our postdocs moving on to further positions and endeavours.

📚🌟We have no doubt that his expertise and dedication will contribute to the mathematical community at the University of Potsdam, fostering collaboration, discovery, and intellectual growth. 📚🌟

#Mathematics #AcademicExcellence #Research #PostdoctoralPosition #UniversityofPotsdam

We are thrilled to unveil the proposal for the upcoming Summer School titled “Direct and Inverse Problems with Applications, and Related Topics: A Comprehensive Summer School in Mathematical Analysis,”

We are happy to announce the receipt of the grant of 18,000€ from UGent Doctoral School for the organisation of this event.

This educational endeavor promises to dive deep into mathematical analysis, with a keen focus on direct and inverse problems, their applications, and related subjects, offering a profound interdisciplinary perspective both scientifically and societally.

Key Highlights:

🔍 Theme: The school aims to explore the comprehensive mathematical tools for solving direct and inverse problems across various fields, fostering new methods and techniques through lectures, exercises, and participant interactions. The lectures will also include broader related topics of mathematical analysis and partial differential equations.

📅 Dates: Tentatively scheduled from August 19 to 24, 2024, the program intends to provide approximately 29 contact hours over 6 days, including lectures, discussions, problem-solving sessions, and an outreach event featuring a public lecture and poster presentations.

📚 Learning and Collaboration: With an environment conducive to learning and discussion, the school presents a unique opportunity for researchers and students to engage with the international mathematical community, enhancing academic careers and encouraging future studies.

📝 Program Structure: The curriculum includes 22.5 hours of lectures by ten esteemed lecturers, 6.5 hours dedicated to discussion and problem-solving sessions, and additional time for participants’ presentations and a public lecture, aiming to cover the latest problems and techniques in the field.

🏆 Participation Criteria: Recognition in the doctoral training programme requires at least 50% attendance in lectures, discussions, and problem sessions, along with participation in the poster session.

🎓 Lecturers: We are proud to present a distinguished panel of lecturers, experts in the field of partial differential equations with engineering applications. This will be updated on the school website in due course.

🔍 Justification: This summer school aligns seamlessly with the ongoing PhD research at Ghent University. By focusing on mathematical analysis of PDEs, it enriches existing courses and offers advanced techniques vital for engineering applications. Students will delve deep into problem-solving sessions, fostering direct application to their research projects.

👥 Organising and Scientific Committee: The event is spearheaded by a distinguished committee, comprising experts from Ghent University and beyond.

🤝 Inter-University Partnership: The Ghent Analysis & PDE Center leads the initiative, with support from the Faculty of Engineering and Architecture. Additionally, collaboration with esteemed researchers from other Belgian and international universities strengthens our endeavor.

🎯 Targeted Audience: PhD candidates from Ghent University and partner universities are invited to participate, along with postdoctoral researchers and interested individuals from various scientific backgrounds.

🌐 Public Outreach Event: A captivating public lecture, poster session, and networking reception will complement the school, fostering engagement with a wider audience. Join us for an enlightening session!

🗓️ Date & Location: Stay tuned for further details regarding the date and location of this enriching summer school!

This summer school promises to be a cornerstone event for advancing research and collaboration in the field of mathematical analysis. Keep an eye on our website and university communications for updates and registration details. Join us for a journey of discovery and innovation in mathematical analysis!🌟

#Mathematics #SummerSchool #GhentUniversity #Research #Education

We are thrilled to announce the release of the first book in the series “Research Perspectives Ghent Analysis and PDE Center“! This series is dedicated to publishing extended abstracts of seminars, conferences, workshops, and other scientific events associated with the Ghent Analysis and PDE Center.

🔍 Series Information: “Research Perspectives Ghent Analysis and PDE Center” is a subseries within the esteemed book series “Trends in Mathematics.” Every contribution featured in this series undergoes a review process, ensuring the highest standards of scientific literature.

📘 Book Details: Title: Extended Abstracts 2021/2022, Methusalem Lectures;
📘Editors: Duván Cardona, Joel Restrepo, and Michael Ruzhansky

This inaugural volume showcases a compilation of extended abstracts from the Methusalem Lectures (senior and junior), offering valuable insights into the latest research and developments in the field of analysis and partial differential equations.

You can visit Birkhäuser’s website for our series by following the link:

https://www.springer.com/series/17271

Additionally, you can stay up to date on future books appearing in this series by following the series link on our center’s website.

https://analysis-pde.org/research-perspectives-ghent-analysis-and-pde-center/