Group members

Academic staff

Academic Staff
Davoud Cheraghi

Dr Davoud Cheraghi
Senior Lecturer

Moduli spaces of holomorphic maps and rigidity,
Small divisors and linearization in low dimensions,
Renormalization operators and complex dynamics
Martin Hairer

Prof. Martin Hairer

Stochastic partial differential equations,
Nonequlibrium statistical mechanics,
Stochastic processes with memory

Prof. Walter Hayman FRS
Emeritus Professor

Complex analysis

Prof. Gustav Holzegel

Partial Differential Equations, General Relativity 

Dr Igor Krasovsky

Asymptotic analysis of orthogonal polynomials, determinants, multiple integrals. Spectral properties of quasiperiodic Schrödinger operators

Prof. Ari Laptev

Spectral Theory of Partial Differential Equations, in particular, Schrödinger operators. Polya conjecture. Lieb-Thirring inequalities. Trace formulae. Inverse problems. Gobal solutions of Wave Equations. Generalised Szegö Problems. Pseudo-differential Operators.

Prof. Boguslaw Zegarlinski

Stochastic analysis, mathematical physics, coercive and isoperimetric inequalities, Markov semigroups

Research staff

Academic Staff
Fabrizio Bianchi

Dr Fabrizio Bianchi
Marie-Curie Fellow

Several complex variables (currents and dynamics), meromorphic connections
Sabine Boegli

Dr Sabine Boegli
Chapman Fellow

Spectral approximation for linear operators, Differential operators, e.g. Schrödinger operators with complex potentials

Dr Julio Delgado
Research Associate

Harmonic Analysis and its interactions with Partial Differential Equations, Operator Theory and Functional Analysis. Pseudo-Differential Operators, Analysis of operators on Lie groups and manifolds

Dr Alexandre De Zotti
Research Associate

Holomorphic dynamical systems
Benjamin Fahs

Dr Benjamin Fahs
Research Associate

Random matrices

Research students

Adam Almakroudi G. Holzegel General relativity and PDE
Tom Baker M. Ruzhansky  
Gabriele Benomio G. Holzegel General relativity and PDEs
Esher Bou Dagher B. Zegarlinski Functional Analysis
George Chalivopulos G. Holzegel General relativity and PDEs
Marianna Chatzakou M. Ruzhansky Analysis and PDEs
Stephen Collins A. Laptev & B. Zegarlinski Harmonic Analysis, Functional Analysis and PDE
Alexander Eliad D. Cheraghi Analytic dynamics
Massimiliano Esposito M. Ruzhansky Analysis on manifolds
Francesco Ferrulli A. Laptev Harmonic Analysis, Functional Analysis
Andris Gerasimovics M. Hairer Probability
Dorian Guzu A. Laptev Harmonic Analysis, Functional Analysis
Lyuben Konstantinov I. Krasovsky Random Matrices
Harris Maroudas I. Krasovsky Random Matrices
Mohammad Pedramfar D. Cheraghi Renormalisation operators in analytic dynamics
Philipp Schoenbauer M. Hairer Probability
Andrei Velicu B. Zegarlinski Functional Analysis
Yifu Wang B. Zegarlinski Harmonic Analysis, Functional Analysis and PDE
Nurgissa Yessirkegenov M. Ruzhansky  

Former academic/research staff

  • Prof Michael Ruzhansky (moved to Ghent University, Belgium, in September 2018)
  • Dr Martin Taylor (Research associate 2015-2018, now at IAS, Princeton)
  • Dr Dejan Gajic (Chapman fellow 2016-2017, now at University of Cambridge)
  • Dr Claude Warnick (Lecturer 2015-2017, now at University of Cambridge)
  • Dr Arick Shao (Research Associate 2014-2016, now at QMUL)
  • Dr Jonathan Ben-Artzi (Junior Research Fellow 2014-2016, now at Cardiff University)
  • Dr Salvador Rodriguez-Lopez (Teaching Fellow 2014-2015, now at Stockholm University)
  • Dr Veronique Fischer (Research Associate 2013-2015, now at Bath)
  • Dr Tim Candy (Chapman Fellow 2012-2014)
  • Dr Aparajita Dasgupta (LMS Grace Chisholm Young Fellow 2011-2013, now PDE's chair at EPFL, Switzerland)
  • Dr Claudia Garetto (Junior Research Fellow 2010-2012, now lecturer at Loughborough University)
  • Dr Thomas Ostergaard Sorensen (reader 2010-2011, now professor at LMU, Germany)
  • Dr Karel Pravda-Starov (lecturer 2008-2010, now chair d'excellence CNRS at Université Cergy-Pointoise, France)
  • Professor Alexander Grigor'yan (professor, now professor at Bielefeld University, Germany)
  • Dr Jens Wirth (RA on EPSRC grant EP/E062873/01 2007-2010, now at the University of Stuttgard, Germany)
  • Dr Ingo Witt (DFG grant 2004-2006, now professor at the University of Göttingen, Germany)
  • Dr Ilia Kamotski (RA on EPSRC grant GR/R67583/01 2002-2004, now at UCL)

Former research students

  • Dr Thomas Johnson (PhD awarded in 2018, thesis: The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge, supervisor: Prof. G. Holzegel) 
  • Dr Rauan Akylzhanov (PhD awarded in 2018, thesis: Lp-Lq Fourier multipliers on locally compact groups, supervisor: Prof. M. Ruzhansky) 
  • Dr Frantisek Zak (PhD awarded in 2016, thesis: Long time behaviour of infinite dimensional stochastic processes, supervisor: Professor B. Zegarlinski)
  • Dr Xing Liu (PhD awarded in 2015, thesis: Kolmogorov Superposition  Theorem and its Applications, supervisor: Prof. B. Zegarlinski) 
  • Dr Lukas Schimmer  (PhD awarded in December 2013, thesis: Spectral Inequalities for Discrete and Continuous Differential Operators, supervisor: Prof. A. Laptev), went on a postdoctoral research position at Princeton University.
  • Dr David Rottensteiner (PhD awarded in 2014, thesis: Time-frequency analysis on the Heisenberg group, supervisor: Prof. M. Ruzhansky), went on a postdoctoral research position at Nuhag, Vienna.
  • Dr Donal Connolly  (PhD awarded in 2014, thesis: Pseudo-Differential Operators on Homogeneous Spaces, supervisor: Prof. M. Ruzhansky) 
  • Dr Arman Sahovic  (PhD awarded in 2013, supervisor: Prof. Ari Laptev)
  • Dr Usman Muhammad (PhD awarded in 2012, thesis: Trace formulae and spectral inequalities for a class of differential operators, supervisor: Prof. Ari Laptev)
  • Dr Vasilis Kontis  (PhD awarded in 2011, thesisFunctional and Isomperimetric Inequalities for Probability Measures on H-type Groups, supervisor: Prof. B. Zegarlinski)
  • Dr James Inglis  (PhD awarded in 2010, thesis: Coercive Inequalities for Generators of Hörmander Typesupervisor: Prof. B. Zegarlinski)
  • Dr Ioannis Papageorgious  (PhD awarded in 2009, thesis: The log-Sobolev Inequality in Infinite Dimensionssupervisor: Prof. B. Zegarlinski)
  • Dr Graeme Andrews (PhD awarded in 2009, thesisSG Fourier Integral Operators with Closure under Composition, supervisor: Prof. M. Ruzhansky)
  • Dr Lihu Xu  (PhD awarded in 2007, thesisNonlinear Problems in Infinite Interacting Particule Systemssupervisor: Prof. B. Zegarlinski)
  • Dr James G. Smith (PhD awarded in 2006, thesisGlobal Time Estimates for Solutions to Higher Order Strictly Hyperbolic Partial Differential Equations, supervisor: Prof. M. Ruzhansky)
  • Dr Maryam Alrashed  (PhD awarded in 2006supervisor: Prof. B. Zegarlinski)


  • Wagner Almeida De Moraes (University of Curitiba, Brazil), Sep 2017 - Mar 2018
  • Daulti Verma (Miranda House, University of Delhi, India), July 2017 - June 2018
  • Aparajita Dasgupta (India), Aug 2017 - July 2018
  • Dr Niyaz Tokmagambetov (Kazakh National University, Kazakhstan), 4 April 2016 - 3 April 2017
  • Dr Gulzat Nalzhupbayeva (Kazakh National University, Kazakhstan), 4 April 2016 - 3 April 2017
  • Prof. Marius Mantoiu (Chile), 4-20 April 2016
  • Dr Ville Turunen (Aalto, Finland), 3-20 April 2016
  • Prof. Alexander Cardona(U. de Los Andes, Colombia), 20-28 March 2016
  • Prof. Nicola Garofalo (Padova, Italy), 1-5 February 2016
  • Prof. Arnaud Cheritat (Toulouse, France), 11-16 January 2016
  • Prof. Mitsuru Sugimoto (Nagoya U., Japan), 26 October - 2 November 2015
  • Prof. Alexander Cardona(U. de Los Andes, Colombia), 11-17 October 2015
  • Prof. Tokio Matsuyama (Chuo U., Japan), 15-22 August 2015
  • Prof. Hua Luo (Dongbei U. of Finance and Economics, Dalian, Liaoning, China), 25 April 2015 - 25 April 2016
  • LMS Fellow, Prof. Elijah Liflyand, (Bar-Ilan U.), 13 March - 2 April 2015
  • Prof. Sergio Spagnolo (U. of Pisa, Italy), 21-26 March 2015
  • Dr Yasuo Chiba (Tokyo University of Technology), 16-24 March 2015
  • Prof. Vesselin Petkov (Bordeaux U., France), 16-20 March 2015
  • Prof. Marius Mantoiu (U. of Chile), 3-12 February 2015
  • Haihui Wang (Beihang U., China), 2-20 February 2015
  • Prof. Naoto Kumano-go (Kogakuin U., Japan), 12-17 January 2015
  • Carlos Andres Rodriguez (U. los Andes, Bogota, Columbia), 11-19 January 2015
  • Prof. Tomasz Szarek (U. of Gdansk, Poland), 10-19 November 2014
  • Dr Jens Wirth (Stuttgart U., Germany), 20-26 September 2014
  • Sino-UK fellow, Prof. Baoxiang Wang (Peking U.), August - September 2014
  • Mingjuan Chen (Peking U., CHina), July - December 2014
  • Nelder Fellow, Prof. Matania Ben-Artzi (Hebrew U. of Jerusalem), 15 February - 30 June 2014
  • Prof. Alexander Its (Indinianapolis U., US), 18 - 28 June 2014
  • Ilya Sevrygin (Kazakh National U.), 24 March - 22 June 2014
  • Prof. Tokio Matsuyama (Chuo U., Japan), 14 - 21 March 2014
  • Prof. Clotilde Fermanian Kammerer (U. Paris Est, France), 5 - 7 March 2014
  • Prof. Dominique Bakry (Institut de Mathématiques de Toulouse, France), 2 - 21 March 2014
  • Prof. Paula Cerejeiras (Aveiro U., Portugal), 24 February - 9 March 2014
  • Prof. Uwe Kähler (Aveiro U., Portugal), 24 February - 9 March 2014
  • Dr Yasuo Chiba (Tokyo U. of technology, Japan), 22 February - 18 March 2014

For visitors before 2014, please see the group's seminars calendar.