File 09-10-2017, 19 52 19Welcome! Here you can find some information about my work and other related things.

This page is a modernised version of my older webpage at Imperial College

There is also a related website on our extended research group (with its centre in Ghent) and related topics of Analysis & PDE.

There is also a related older website on the concepts of noncommutative phase space analysis.

My recent GCRF Developing Countries Activities: conferences and some pictures. In particular, the picture on the left was taken in 2016 in front of the Department of Mathematics of Addis Ababa University, Ethiopia.

AIMS Ghana Post 1, AIMS Ghana Post 2

School of Mathematical Sciences
Queen Mary University of London
Mile End Road
London E1 4NS
United Kingdom
Ghent University
Department of Mathematics: Analysis, Logic and Discrete Mathematics
Krijgslaan 281, Building S8 
B 9000 Ghent
e-mail: m.ruzhansky atttt qmul.ac.uk e-mail: Michael.Ruzhansky attt UGent.be
Office: Mathematical Sciences Building, Room MB-G22
☎ +44 (0) 20-7882 6736
Ghent Analysis & PDE Centre
Office: Building S8, Room 130.076
☎ +32 (0) 9 264 49 22
My research according to EPSRC

Former President of ISAAC (2009-2013), International Society for Analysis, its Applications, and Computation (old ISAAC website –> new ISAAC website) ☞ ☞ Download: ISAAC history 1996-2016 ☜ ☜

pde_group_small-1Analysis & PDE group – click on the picture and explore!

Conferences organised (recent)

Video of my talk Van der Corput lemma for Mittag-Leffler functions

Video of my short (5-minutes) talk Van der Corput, Mittag-Leffler and tsunamis

Overview of my books


M. Ruzhansky, V. Turunen, Pseudo-Differential Operators and Symmetries, Birkhäuser, 2010. 724pp.
Link to publisher, Description and Samples, BookmetrixZB ReviewMR Review

In this book the global analysis of pseudo-differential operators is consistently developed in the setting of compact Lie groups. The book also contains the background material on related topics of analysis, and is related to time-frequency analysis. Some extracts from the book can be downloaded here.

Poster_book Ruzhansky Turunen

Book-Fischer-Ruzhansky-cover-1V. Fischer, M. Ruzhansky, Quantization on Nilpotent Lie Groups, Progress in Math., Vol. 314, Birkhäuser, 2016. 557pp. BookmetrixZB Review, MR review

This book is the winner of the Ferran Sunyer i Balaguer Prize 2014

In this book the global quantization constructions of the previous work have been developed in the setting of general graded Lie groups. There is also an extensive presentation of the background analysis on stratified, graded, and general homogeneous groups. This book is open access and can be downloaded here.

Poster_book Fischer Ruzhansky

Cover-Ruzhansky-Suragan-HardyThere are further works in the setting of nilpotent groups of different type that can be viewed here and here. In particular, the summary of recent research has appeared in the following open access book:

M. Ruzhansky, D. Suragan, Hardy inequalities on homogeneous groups, Progress in Math., Vol. 327, Birkhäuser, 2019. 588pp. link, free download (open access)

This book is the winner of the Ferran Sunyer i Balaguer Prize 2018

This book is open access and can be downloaded here


RSS book_coverIn the last couple of years I have been also doing research on isoperimetric inequalities for integral operators of different types. This research together with some other things, and the extensive introductory background notes on the relevant spectral theory appeared in the (open access) book:

M. Ruzhansky, M. Sadybekov, D. Suragan, Spectral geometry of partial differential operators, Monographs and Research Notes in Mathematics, Chapman and Hall/CRC Press, 2020. 366pp. link, free download

Poster_book Spectral_geometry circle

Recent research projects:



Some near-mathematical activities:

  • Biomedicine: Mamaeva S.N., Kononova I.V., Ruzhansky M., Nikiforov P.V., Nikolaevа N.A., Pavlov A.N., Fedorova N.F., Huang J., Semenova M.N.,  Barashkova D.V., Frolova L.S., Maksimov G.V., Using Scanning Electron Microscopy and Atomic Force Microscopy to Study the Formation of Nanoparticles on Red Blood Cell Surface in Cervical Cancer Patients, International Journal of Biomedicine, 10(1): 70-75, 2020. open access article
  • Computer imaging: Huang J., Ruzhansky M., Feng H., Zheng L., Huang X., Wang H., Feature extraction for license plate location based on L0-norm smoothing. Open Comput. Sci. 2019; 9:28-135. link (open access) 
  • Parallel computing: Altybay A., Ruzhansky M., Tokmagambetov N., A parallel hybrid implementation of the 2D acoustic wave equation. Int. J. Nonlinear Sci. Numer. Simul., 21 (2020), 821-827. arxivlink
  • Covid-19: Ruzhansky M., Tokmagambetov N., Torebek B., A projection model of COVID-19 pandemic for BelgiummedRxivpaper