Congratulations to Andrea Vanessa Hurtado Quiceno for Kovalevskaya Travel Grant

Congratulations to our PhD student Andrea Vanessa Hurtado Quiceno for receiving the Kovalevskaya Travel Grant to attend the ICM 2022 in St. Petersburg, Russia.

These grants are for graduate students, postdocs and other early career mathematicians traveling to ICM 2022. They are given in partnership with ICM 2022 LOC and are established in addition to the national Kovalevskaya grants. Read more

LMS Hyperbolic Meeting: 9 December 2021

2021-12-09T11:00:00

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Hyperbolic meeting on 9 December 2021

Supported by the LMS (Scheme 3 Grant Ref 31703) and by the Edinburgh Mathematical Society

Departments

School of Mathematics, The University of Edinburgh, Maxwell Institute for Mathematical Sciences

School of Mathematical Sciences, Queen Mary University of London

Department of Mathematical SciencesLoughborough University

Department of Mathematics, Imperial College London (2017-2018)

Organisers

Pieter Blue (Edinburgh)
Claudia Garetto (Loughborough)
Michael Ruzhansky (Imperial College London –> Queen Mary University of London)

Linear and nonlinear hyperbolic partial differential equations (PDEs) arise in basically all sciences (physics, chemistry, medicine, engineering, astronomy, etc.). In physics, they model several important phenomena, from propagation of waves in a medium (for instance propagation of seismic waves during an earthquake) to refraction in crystals and gas-dynamics. The purpose of this UK network on hyperbolic equations and related topics is to bring together the expertise on hyperbolic equations of three different mathematics department (Edinburgh, Imperial, Loughborough), to strengthen the existing research collaborations and to create new ones. Three 1-day workshops per year are planned focused on different approaches to hyperbolic equations and related topics (inverse problems, kinetic theory, imaging, microlocal analysis, general relativity, etc.).

NEW: Meeting 9

9 December 2021 (Thursday), Online (ZOOM)

https://us02web.zoom.us/j/88645590199?pwd=NzhGZlkyTlJCSk5oZWJOWDh0TmxNdz09

Meeting ID: 886 4559 0199 Passcode: 569414

Website of the Network and of the Meeting

Planned program (UK time)

10:00-11:00 Juan Valiente Kroon (QMUL) Degenerate symmetric hyperbolic systems, conformal structure and totally characteristic hypersurfaces

11:00-12:00 Marica Minucci (QMUL) A conformal approach to the stability of Einstein spaces with spatial sections of negative scalar curvature and beyond

12:00-13:00 Giovanni Taglialatela (Bari) The Cauchy problem for properly hyperbolic equations in one space variable

break

14:00-15:00 Marianna Chatzakou (Ghent) Very weak solutions of hypoelliptic equations

15:00-16:00 Priscila Leal-Da-Silva (Loughborough) Existence and uniqueness of solutions for the rotation-Camassa-Holm equation

Abstracts and additional information 

All are welcome to attend.

Congratulations to Nurgissa Yessirkegenov

A member of our Analysis & PDE Centre, Nurgissa Yessirkegenov, became

the Laureate of the State Youth Prize “Daryn-2021

in the nomination Science. The State Youth Prize “Daryn” of the Republic of Kazakstan is awarded annually in order to support talented youth for fruitful scientific, creative, social activities, as well as for high sporting achievements.

Earlier, Nurgissa Yessirkegenov received several prestigious international awards for achievements in research among young scientists, such as “Santander Mobility Grant” (Great Britain, 2017), “Heidelberg Laureate Forum Grant” (Germany, 2017), “Doris Chen Merit Award” (Great Britain, 2018), “Doris Chen Mobility Grant” (Great Britain, 2018), Axioms Prize (Switzerland, 2018) and a grant from the London Mathematical Society “Early Career Fellowship” (Great Britain, 2019).

In January 2020 Nurgissa defended his PhD at Imperial College London (London, UK) on the topic: “Function spaces on Lie groups and their applications” under the guidance of Professor Michael Ruzhansky.


During his doctoral studies, Nurgissa received Imperial College’s highest “Doris Chen Merit Award” for talented PhD doctoral students. The Faculty of Mathematics of Imperial College London honors this award for exceptional early perspective and achievement, and it is presented on a rigorous competitive basis.

So far, Nurgissa has 22 scientific papers published in journals indexed in the Clarivate Analytics (ISI) Web of Knowledge database and 25 scientific papers in journals indexed in Scopus. He has a Hirsch index of 5 in the Clarivate Analytics (ISI) Web of Knowledge and Scopus databases.

IMU-SIMONS African Fellowship Award

Congratulations to Narciso Gomes for winning the IMU-Simons African Fellowship for the research stay at our Analysis & PDE Centre of Ghent University, from July 15, 2022 – September 30, 2022.

The award is to work on the joint project

Very weak solutions for Dirac operators with distributional coefficients

It is great to see that the research on very weak solutions attracts prestigious international awards!

Narciso Gomes is from the University of Cabo Verde in Africa. He is based at the Campus Universitário Palmarejo Grande – Novo Campus Praia, Santiago Island.

The IMU – Simons African Fellowship Program supports research sabbaticals for mathematicians from African developing countries employed in Africa to travel to an internationally renown mathematical centre of excellence (worldwide) for collaborative research. All travel and living expenses of the grantees will be covered by the fellowship up to 5,000 USD. See more here. Please also see Simons Foundation Website.

Cape Verde

Congratulations to Hong-Wei Zhang

A member of our Analysis & PDE centre, Hong-Wei Zhang, was presented The Chinese Government Award for Outstanding Self-financed Students Abroad” which is given by the Chinese government to graduate students studying abroad who are not funded by the China Scholarship Council (CSC). Recipients are chosen worldwide each year for their outstanding accomplishments in academia. Only 500 are awarded annually among all Chinese overseas graduate students in all disciplines. Because of this highly competitive selection, this prestigious award is considered the highest award the Chinese government gives to overseas graduate students.

The prize comes with a certificate and 6000 USD award.

Congratulations Hongwei!

Hongwei Zhang

Recent progress in Harmonic and Hypercomplex Analysis and Applications in Mathematical Physics

Scope: In recent years there has been major advances in harmonic analysis and spectral theory over groups and general noncommutative structures, such as full symbol calculus for compact and nilpotent groups or spectral theory for quaternionic and Clifford-algebra valued operators. These new theories also brought new ideas to areas like very weak solutions of PDEs, anharmonic analysis, or operator calculus over discrete structures as well as in applications in signal and image processing, inverse problems, and machine learning. This conference aims to bring together experts working in these and adjacent fields to exchange new ideas and create future lines of research and collaboration.

Organizers: Paula Cerejeiras, Yuri Grigoriev, Dmitrii Legatiuk, Sergey Popov

Scientific committee: Paula Cerejeiras, Fabrizio Colombo, Yuri Grigoriev, Uwe Kähler, Alexander Khludnev, Aleksander Kozhanov, Dmitrii Legatiuk, Nedyu Popivanov, Michael Ruzhansky, Irene Sabadini, Jens Wirth

Time: July 18 – July 22, 2022

Observation: The conference is planned from July 18 until July 22, 2022, so as to allow participation in the ICM 2022 in St. Petersburg.

Plenary speakers: Alexander Soldatov, Daniel Alpay, further to be announced

Yakutsk is the coldest large city in the world. Yakutsk is also the largest city located in continuous permafrost. Yakutsk is located in the Central Yakutian Lowland and is a major port on the Lena River.

Duvan Cardona’s interview from Mexico

The August 2021 edition of the Mexican magazine Revista D Escenarios dedicated an interview to the Colombian mathematician and currently a PhD student and a member of our Ghent Analysis and PDE Center, Duvan Cardona Sanchez. The Interview was prepared by the international press officer Alejandra Suárez Giraldo.

Duvan talked about some of his responsibilities as a young mathematician. He serves from 2020 as a ‘Par evaluador’ (academic reviewer) for the Colombian Science Ministry and for Colciencias (the group of validation of the scientific investigation in Colombia) in view of his experience as a reviewer for Mathematical Reviews, and his recognised achievements awarded by the Colombian Academy of Sciences.

In this interview Duvan talked about his career, his experience as a PhD student at Ghent University and the recognition of his work between the Latin-American mathematicians. Also, he commented about his experience as a lecturer in several universities in Colombia, before of starting his PhD and also, about the recent developments of his joint works with the Russian mathematician Michael Ruzhansky and the Colombian mathematician Julio Delgado. In particular, he remarked the amazing experience of working under the supervision of Michael Ruzhansky.

Duvan shared his point of view about the mathematical investigation in Colombia, and his role as a young mathematician who is consolidated in Latin-America as a young face of the mathematical research. He certainly dedicates his achievements to their mentors at Universidad del Valle, Los Andes University and at Ghent University.

Duvan’s mathematical work, before and after starting his doctorate, has caught the attention of the Latin American mathematical community, who now see in this young mathematician a source of inspiration for the future generations. Duvan also describes the amazing experience of working with fellows and colleagues from several countries, Kazakhstan, India, Italy, Colombia, China, etc. and the high level of the scientific research developed in the group of Michael Ruzhansky. According with Semilla Spirall Foundation,  Duvan Cardona is committed with the education of children in his homeland, he has donated economic resources from his doctoral scholarship, to the benefit of the educational processes of the native communities in  Sierra-Nevada. A remote place in Santa Marta-Colombia, where the population lives in situations of extreme poverty. In the past, when he was an undergraduate student, he worked during several years to the service of vulnerable populations in Buenaventura-Colombia, commented Pastora Velazquez, a community leader of Buenaventura.

The interview of Duvan Cardona can be downloaded in (Spanish) PDF at this link.

Our updated research pages

We would like to share our update on the research pages: Functional inequalities and Nonharmonic analysis.

Functional inequalities: Here we present a historical overview of original Hardy inequality.

G. H. Hardy and Harald Bohr (pictures from Wikipedia)

G. H. Hardy reported Harald Bohr as saying ’all analysts spend half their time hunting through the literature for inequalities which they want to use but cannot prove’.



Nonharmonic analysis: We show the difference between harmonic vs nonharmonic analysis and give a survey of our recent works.

Harmonic analysis: symmetries in the underlying space, e.g. working with e^{2\pi i x\cdot\xi} on \mathbb T^n with \xi\in\mathbb Z^n; more generally, working with representations of compact, nilpotent, or more general locally compact type I groups;

Nonharmonic analysis: no symmetries in the underlying space, e.g. working with e^{2\pi i x\cdot\xi} on \mathbb T^n with \xi\not\in\mathbb Z^n; This name was given by Paley and Wiener.

A survey of our recent works on nonharmonic analysis

Prof. Ruzhansky gave a talk about “Nonharmonic pseudo-differential analysis” at Seminar on Analysis, Differential Equations and Mathematical Physics, at the Southern Federal University, Russia.

Our page about Nonharmonic analysis.

YouTube VIDEO

Here we break a talk to timestamps:

  • Overview of global (harmonic) quantization theories – 1:27
  • Harmonic analysis of pseudo-differential operators – 3:39
  • Harmonic vs nonharmonic analysis – 8:02
  • Nonharmonic analysis of boundary value problems – 11:23
  • General philosophy – 14:24
  • Global Fourier analysis associated to L and L* – 22:58
  • Convolution associated to L and L* – 27:52
  • Fourier multipliers – 36:06
  • Difference operators – 40:53
  • Summary of results – 52:32

    Interesting comments from Prof Lars-Erik Persson – The Happy Mathematician  55:30