Jonathan Ben-Artzi

Reader (Associate Professor)
EPSRC Early Career Fellow
School of Mathematics
Cardiff University


Research interests:

  • Analysis, and in particular:
    • Spectral theory
    • Approximations of infinite-dimensional problems
  • PDEs, and in particular:
    • Kinetic theory
    • Long time behavior
  • Ergodic theory & Continuous time dynamical systems
Image

Publications & Preprints

J. Ben-Artzi, M. Marletta and F. Rösler
Universal algorithms for computing spectra of periodic operators
Preprint, 33 pages  pdf pdf

J. Ben-Artzi, F. Cacciafesta, A.-S. de Suzzoni and J. Zhang
Global Strichartz estimates for the Dirac equation on symmetric spaces
Preprint, 38 pages  pdf pdf

J. Ben-Artzi, F. Cacciafesta, A.-S. de Suzzoni and J. Zhang
Strichartz estimates for the Klein-Gordon equation in a conical singular space
Preprint, 44 pages  pdf pdf

J. Ben-Artzi, M. Colbrook, A. Hansen, O. Nevanlinna and M. Seidel
Computing Spectra - On the Solvability Complexity Index Hierarchy and Towers of Algorithms
Preprint, 93 pages  pdf pdf

J. Ben-Artzi, M. Marletta and F. Rösler
Computing scattering resonances
Preprint, 19 pages  pdf pdf

J. Ben-Artzi, A. Hansen, O. Nevanlinna and M. Seidel
The Solvability Complexity Index - Computer Science and Logic Meet Scientific Computing
Preprint, 15 pages  pdf

J. Ben-Artzi and B. Morisse
Averaging along degenerate flows on the annulus
Preprint, 15 pages  pdf pdf

J. Ben-Artzi, M. Marletta and F. Rösler
Computing the sound of the sea in a seashell
Found. Comput. Math. (accepted), 25 pages (2021)  pdf pdf

J. Ben-Artzi and B. Morisse
Uniform convergence in von Neumann’s ergodic theorem in the absence of a spectral gap
Ergod. Theor. Dyn. Syst. (to appear), 15 pages (2020)  pdf pdf pdf pdf

J. Ben-Artzi and A. Einav
Weak Poincaré inequalities in the absence of spectral gaps
Ann. Henri Poincaré 21, 359-375 (2020)  pdf pdf pdf pdf

J. Ben-Artzi, S. Calogero and S. Pankavich
Concentrating solutions of the relativistic Vlasov-Maxwell system
Commun. Math. Sci. 17, 377-392 (2019)  pdf pdf pdf pdf

J. Ben-Artzi, S. Calogero and S. Pankavich
Arbitrarily large solutions of the Vlasov-Poisson system
SIAM J. Math. Anal. 50, 4311-4326 (2018)  pdf pdf pdf pdf

J. Ben-Artzi, D. Marahrens and S. Neukamm
Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations
Commun. PDE 42, 179-234 (2017)  pdf pdf pdf pdf

J. Ben-Artzi and T. Holding
Instabilities of the relativistic Vlasov-Maxwell system on unbounded domains
SIAM J. Math. Anal. 49, 4024-4063 (2017)  pdf pdf pdf pdf

J. Ben-Artzi and T. Holding
Approximations of strongly continuous families of unbounded self-adjoint operators
Commun. Math. Phys. 345, 615-630 (2016)  pdf pdf pdf pdf erratum

J. Ben-Artzi, A. Hansen, O. Nevanlinna and M. Seidel
New barriers in complexity theory: On The Solvability Complexity Index and Towers of Algorithms
C. R. Acad. Sci. 353, 931-936 (2015)  pdf pdf pdf

J. Ben-Artzi
Instabilities in kinetic theory and their relationship to the ergodic theorem
Contemp. Math. 653, 25-40 (2015)  pdf pdf pdf pdf

J. Ben-Artzi
On the spectrum of shear flows and uniform ergodic theorems
J. Funct. Anal. 267, 299-322 (2014)  pdf pdf pdf pdf

J. Ben-Artzi
Instability of nonsymmetric nonmonotone equilibria of the Vlasov-Maxwell system
J. Math. Phys. 52, 123703, 21 pages (2011)  pdf pdf pdf pdf

J. Ben-Artzi
Instability of nonmonotone magnetic equilibria of the relativistic Vlasov-Maxwell system
Nonlinearity 24, 3353-3389 (2011)  pdf pdf pdf pdf

Teaching & Supervision

 Current Teaching


Not teaching this semester


 Past Teaching

Cardiff University
MA3010: Differential Geometry of Curves and Surfaces
Autumn 2018


Imperial College London
Dispersive Equations
Autumn 2015


Cambridge University
Vector Calculus (supervisions)
Spring 2012 & Spring 2013
Numerical Analysis (supervisions)
Spring 2013
Methods (supervisions)
Autumn 2011 & Autumn 2012
Vectors & Matrices (supervisions)
Autumn 2012
Kinetic Theory (supervisions)
Autumn 2011


Brown University
MA0180: Intermediate Calculus
Autumn 2010
MA0180: Intermediate Calculus
Autumn 2009
MA0060: Analytic Geometry & Calculus
Spring 2009
MA0350: Honors Calculus
Autumn 2008
 Postdocs & Fellows

Frank Rösler
2018-2022
Junyong Zhang
2018-2020
Baptiste Morisse
2017-2020


 PhD Supervision

Alexei Stepanenko
2018-2022
Thomas Holding (informal supervision)
2012-2016


 Undergraduate & Masters Supervision

Thomas Anquetil
Summer 2018
Maria del Valle Varo
Summer 2016
Paul Ramond
2015-2016
Wei Yu
Summer 2015
Charafeddine Mouzouni
Spring 2015
Zhuo Min Lim
2013-2014
Thomas Holding
2012-2013
Luca Calatroni
2011-2012

News

Feb
2020

Marie Skłodowska-Curie Fellowship

Postdoc Frank Rösler has been awarded a Marie Skłodowska-Curie Fellowship which will commence October 2020 and run for two years. More details.

June
2019

Small Scales and Homogenisation (SmaSH) Workshop

Together with Baptiste Morisse and Frank Rösler we organized a workshop which was held in Cardiff between 24-26 June 2019. Website.

Sept
2018

South Wales Analysis & Probability Seminar (SWAP)

I organize (jointly with Swansea University) a quarterly seminar in analysis, probability and related fields. Seminar website.

Sept
2018

Intradisciplinary Lecture Series (ILS)

I organize the Intradisciplinary Lecture Series, which is our internal colloquium in the School of Mathematics. Website here.

June
2018

An Analyst, a Geometer and a Probabilist Walk Into a Bar

Together with Baptiste Morisse we organized a workshop which was held in Cardiff between 25-29 June 2018. Workshop website.

Feb
2018

Marie Skłodowska-Curie Fellowship

Junyong Zhang has been awarded a Marie Skłodowska-Curie Fellowship which will run between 2018-2020. This was the top ranked application in 2018. News item and abstract of the fellowship.

Sept
2016

Quantitative Estimates in Spectral Theory and Their Complexity

My EPSRC Fellowship entitled QUEST (Quantitative Estimates in Spectral Theory and Their Complexity) will run until 2021. Project website.

Sept
2015

The Cauchy Problem in Kinetic Theory: Recent Progress in Collisionless Models

With Mahir Hadžić and Stephen Pankavich we organized a workshop which was held at Imperial College between 7-11 September 2015. Website.

Curriculum Vitae pdf

Employment


Cardiff University, Cardiff, UK
since 2016
Durham University, Durham, UK
2016
Imperial College London, London, UK
2014-2016
Cambridge University, Cambridge, UK
2011-2014

Qualifications


Brown University, Providence, RI, USA
Supervisor: Walter Strauss
PhD 2011
Hebrew University, Jerusalem, Israel
BSc 2006

Major Awards & Honours


Marie Skłodowska-Curie Fellowship
Role: supervisor of Dr Frank Rösler
Ref: 885904, Value: €212,934
2020-2022
Marie Skłodowska-Curie Fellowship
Role: supervisor of Dr Junyong Zhang
Ref: 790623, Value: €195,458
2018-2020
EPSRC Early Career Fellowship
Ref: EP/N020154/1, Value: £977,978
2016-2021
Junior Research Fellowship
Imperial College London, Value: £175,000
2014-2017
Supernumerary Fellowship
Pembroke College Cambridge
2011-2013
Outstanding Teaching Award
Dept. of Mathematics, Brown University
2011
Coline M. Makepeace Fellowship
Brown University
2006-2007

Seminar Talks


Some of the institutions where I have given talks:

Brown University, Cardiff University, Columbia University, Hebrew University of Jerusalem, Imperial College London, Max Planck Institute Leipzig, McGill University, Princeton University, Technion-Israel Institute of Technology, Université Aix-Marseille, University College London, University of Bath, University of Cambridge, University of Crete, University of Glasgow, University of Oxford, University of Paris 13, University of Reading, University of Surrey, University of Sussex, University of Warwick

Invited Conference/Workshop Presentations


Contact

Dr Jonathan Ben-Artzi
School of Mathematics
Cardiff University
Senghennydd Road
Cardiff CF24 4AG
United Kingdom

Directions


+44 (0)29 2087 5624