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  Jeroen Lamb  
  Martin Rasmussen  
  Dmitry Turaev  
  Sebastian van Strien  
Mike Field
Fabrizio Bianchi
Trevor Clark
Nikos Karaliolios
Dongchen Li
Paul Verschueren
Björn Winckler
Alex Athorne
Sajjad Bakrani Balani
Giulia Carigi
Andrew Clarke
Maximilian Engel
Federico Graceffa
Michael Hartl
Giuseppe Malavolta
Guillermo Olicón Méndez
Cezary Olszowiec
Christian Pangerl
Mohammad Pedramfar
Kalle Timperi
Shangzhi Li
Ole Peters
Camille Poignard
Cristina Sargent
Bill Speares
Kevin Webster
Mauricio Barahona
Davoud Cheraghi
Martin Hairer
Darryl Holm
Xue-Mei Li
Greg Pavliotis


Nikos Karaliolios

ERC Postdoc


Room: 6M33 Huxley Building
I am an ERC post-doc, working on the generalization of Denjoy theory to higher-dimensional tori with S. van Strien. This is my CV


During the second term of the academic year 2017-18, starting January 17, I will be teaching the course "Advanced topics in Dynamical Systems", M5PA38.

I will cover the greatest part possible of the theory of homeomorphisms and diffeomorphisms of the circle: from the study of rotations to Poincaré classification, to Denjoy theory, and conclude with the K.A.M. theorem.

Courses are on: Wednesdays 10-12 at Huxley 642 and Thursdays 11-12 at Huxley 658


My current research interests include
  • Linearizability of smooth pseudo-rotations in tori
  • Cohomology of Dynamical Systems
  • KAM Theory
  • Dynamics of Quasi-periodic cocycles in compact groups


  • Global aspects of the reducibility of quasiperiodic cocycles in semisimple compact Lie groups, Mémoires de la SMF 146 (2016). arXiv preprint here
  • Differentiable Rigidity for quasiperiodic cocycles in compact Lie groups, JMD, vol 11 (2017), p. 125-142. arXiv preprint here
  • Continuous spectrum or measurable reducibility for quasiperiodic cocycles in Td×SU(2). CMP. arXiv preprint here, Open access article here
  • Local Rigidity of Diophantine translations in higher dimensional tori, RCD, vol. 23, no. 1, pp. 12-25. arXiv preprint here.


  • Invariant Distributions and local theory of quasiperiodic cocycles in Td×SU(2). arXiv preprint here
  • Cohomological rigidity and the Anosov-Katok construction. arXiv preprint here

In preparation

  • Simultaneous normal form in the neighborhood of Simultaneously Diophantine Rotations, (working title)
  • Inflating the rotation set, (working title), joint with A. Kocsard
  • On invariant functions of smooth diffeomorphisms, (working title), joint with A. Kocsard