Congratulations to Aidyn and Nurgissa!

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.

✨ Congratulations to André Kowacs on Successfully Defending His PhD Thesis! 🎉👨‍🎓

We are thrilled to announce that André Pedroso Kowacs has successfully defended his PhD dissertation jointly at Ghent University and Universidade Federal do Paraná, under the supervision of Profs Alexandre Kirilov and Michael Ruzhansky! 🌟

André began his academic journey with a Bachelor’s degree in Mathematics from UFPR in 2019. He quickly moved forward, embarking on his PhD directly in 2020, and spent 10 months in Belgium working on a joint PhD at our Ghent Analysis and PDE center of Ghent University. His research interests have focused primarily on analysis and partial differential equations, particularly in the context of compact Lie groups. 🌐🔍

His dissertation, titled “Links between regularity and inequalities on compact Lie groups”, presents remarkable results, including:

  • Global hypoellipticity and solvability of first-order “evolution” differential operators with variable complex coefficients, defined on the finite product of compact Lie groups.
  • Conditions for obtaining a “sharp” Gårding inequality for pseudo-differential operators acting on vector-valued functions and sections of homogeneous vector bundles.

This is a major achievement in the field of mathematics, contributing significantly to our understanding of the intricate connections between regularity and inequalities on compact Lie groups. 💡✨

Throughout his academic career, André has been actively involved in the Linear Equations group and the Universal CNPq projects since 2019. His work has resulted in two published papers and six preprints on arXiv. 📚🎓

Congratulations again to André, on this monumental achievement! 👏 👏👏

We are excited to see all the great things he will accomplish in his future endeavors and wish him all the best in his continued journey of academic and professional excellence. 🥳🎉🎊

#PhDDefence #Mathematics #CompactLieGroups #MathematicalResearch #Success #PhDJourney #AndréKowacs #UFPR

☀️Summer School Workshop VI

🌟 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).


Speaker:

  • Dimitris Scarpalezos
    (Paris Diderot University)

📅 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 🏫


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

🌟 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.


Speaker:

  • Federica Dragoni
    (Cardiff University)

📅 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 🏫


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

🌟 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.


Speaker:

  • Yulia Kuznetsova
    (Université de Franche-Comté)

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


📅 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 🏫


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

 🌟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.


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) 


📅 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


#SummerSchool2024 #MathematicsWorkshop #InverseProblems #PDEs #GeometricAnalysis

☀️ Summer School Workshop II

🌟 Summer School Workshop II 🌟

As a prelude to the upcoming Summer School “Direct and Inverse Problems with Applications, and Related Topics” scheduled from August 19-23, 2024, we are delighted to host our second warming-up workshop.


Speakers and Topics:

  • Ali Taheri
    (University of Sussex, UK)
    Topic: Geometric and Functional Inequalities in Sobolev and Related Spaces
  • Julio Delgado
    (Universidad del Valle, Colombia)
    Topic: Nuclearity, Schatten-von Neumann classes and tensors of Hilbert spaces
  • Nurgissa Yesirkegenov
    (Institute of Mathematics and Mathematical Modeling, Kazakhstan)
    Topic: Cylindrical and hypoelliptic functional inequalities
  • Mohammed Sebih
    (Mustapha Stambouli University of Mascara, Algeria)
    Topic: On the q-analogue of Duhamel’s principle
  • Sofwah Ahmad
    (Khalifa University, United Arab Emirates)
    Topic: On the blowing up solutions of a system of fractional differential equations

📅 Dates & Times:

Friday, August 9, 2024
2:00 PM – 5:00 PM 🕑

📍 Location:

Lecture Room 3.2, Building S8, Campus Sterre 🏫

You can also follow the event via the following Zoom link:   https://us02web.zoom.us/j/83095584409?pwd=c3huaUhZcWFrZ2NNMU05Ujg4aUlWQT09


This workshop offers a great opportunity to explore complex mathematical challenges and techniques before the main Summer School event. Seize this chance to deepen your knowledge and connect with leading experts in the field.

We look forward to welcoming you! 😊

#SummerSchool2024 #MathematicsWorkshop #InverseProblems #PDEs #GeometricAnalysis

☀️ Summer School Workshop I

🌟 Summer School Workshop I 🌟

As a prelude to the upcoming Summer School “Direct and Inverse Problems with Applications, and Related Topics” scheduled from August 19-23, 2024, we are delighted to host a warming-up workshop.


Speakers and Topics:

  • Erkinjon Karimov
    (Fergana State University and Ghent University)
    Topic: Inverse problems on finding unknown time-moment for time-fractional mixed partial differential equations
  • Rommel Real
    (University of the Philippines Mindanao)
    Topic: On a heuristic rule for Landweber iteration in Banach spaces
  • Armen Vagharshakyan
    (Institute of Mathematics NAS, Armenia)
    Topic: On the history of polynomial inequalities
  • Vahideh Vahidifar
    (University of Sussex)
    Topic: An Overview of My Work on PDEs, Geometric Analysis, and Machine Learning

📅 Dates & Times:

Thursday, July 18, 2024
2:00 PM – 4:00 PM 🕑

📍 Location:

Lecture Room 3.1, Building S8, Campus Sterre 🏫


This workshop is an excellent opportunity to delve into complex mathematical problems and methodologies ahead of our main Summer School event. Don’t miss out on this chance to enhance your understanding and network with experts in the field.

We look forward to welcoming you! 😊

#SummerSchool2024 #MathematicsWorkshop #InverseProblems #PDEs #GeometricAnalysis

📢 The List of Speakers for the Summer School: “Direct and Inverse Problems with Applications, and Related Topics”

We are thrilled to announce the esteemed speakers for the upcoming summer school Direct and Inverse Problems with Applications, and Related Topics organized by the Ghent Analysis & PDE Center. Join us for a series of engaging lectures and discussions with the following distinguished experts:

Michael Anoussis
University of the Aegean, Greece

Hajer Bahouri
Sorbonne Université, France

Jean Dolbeault
Université Paris-Dauphine, France

Alessia Kogoj
Università di Urbino Carlo Bo, Italy

Mansur I. Ismailov
Gebze Technical University, Turkey

Cristiana Sebu
University of Malta, Malta

Bianca Stroffolini
University of Naples, Italy

Luis Vega
University of the Basque Country UPV/EHU, Spain

Baoxiang Wang
Jimei University, China

Bauer Wolfram
Leibniz Universität Hannover, Germany

Semyon Yakubovich
University of Porto, Portugal

📝 Note that the summer school will take place from August 19 to August 24, 2024. We look forward to your participation in this enlightening event. Stay tuned for further details on the schedule and registration process.

For more information, please visit the Ghent Analysis & PDE Center website.

#Mathematics #SummerSchool #GhentUniversity #Research #Education

Congratulations to Alibek and Meiirkhan!

Congratulations to Alibek Yeskermessuly and Meiirkhan Borikhanov for receiving the nomination of

The Best Teacher Kazakhstan 2023

Their exceptional contributions to university-level teaching are truly commendable, and we celebrate their dedication to education and the positive impact they have made on their students and colleagues. This nomination is a testament to their outstanding commitment to the field of education. It is evident that our group has had a positive impact on education.