Research Interests
My research lies within the Mathematics of Aperiodic Order, an area of Mathematics concerned with the study of physical Quasi-crystals. I am particularly interested in
the Fourier Transform of Measures, Mathematical Diffraction, Almost Periodic Measures, Spectral Theory for Dynamical Systems and Meyer sets.
Physical Quasi-crystals were discovered in 1984 by Dan Shechtman, a discovery for which he was awarded 2011 Nobel Prize in Chemistry.In the recent years, the intriguing properties of quasi-crystals have led to many practical applications, some of which can be found here.
Some of my Collaborators
Upcoming Events
- Symbolic Dynamics, Combinatorics on Words, Computability and Automata,, CIRM (Marseille, France) ,
Jan 30 - Feb 3, 2017.
- Workshop on Aperiodic Order:
Enumeration Problems, Dynamics, and Topology , Bielefeld University, Bielefeld, Germany, May 24-28, 2017.
- Spectral Structures and Topological Methods in Mathematical Quasicrystals, Oberwolfach Mini-Workshop,October 1-7, 2017.
Past Events
- Combining Aperiodic Order with Structural Disorder , Lorentz Centre, Leiden, Nederlands, 30 May - 3 June 2016.
- Aperiodic 2015, Prague - Brevnov Monastery, Czech Republic,30 Aug. - 4 Sept 2015.
- Workshop on Spectral Theory of Aperiodic Systems, Heinrich-Fabri-Institut, Blaubeuren, Germany,
21 - 27 June 2015.
- Mini-Workshop: Dynamical versus Diffraction Spectra in the Theory of Quasicrystals, Oberwolfach Mini-Workshop,30 November - 6 December 2014.
- IUCr 2014, Montreal, Canada, 5-12 August 2014.
- Informal Workshop on Tiling Dynamical Systems, Bielefeld University, Germany, 23 June - 4 July 2014
Some Conference pictures
- Combining Aperiodic Order with Structural Disorder Lorentz Centre, Leiden, Nederlands, June 2016..
- Aperiodic 15 Prague - Brevnov Monastery, Sept 2015.
- Aperiodic 15 Prague - Brevnov Monastery, Sept 2015.
- Aperiodic 15 Prague - Brevnov Monastery, Sept 2015.
- Aperiodic 15 Prague - Brevnov Monastery, Sept 2015.
- Aperiodic 15 Prague - Brevnov Monastery, Sept 2015.
- Aperiodic 15 Prague - Brevnov Monastery, Sept 2015.
- Aperiodic 15 Prague - Brevnov Monastery, Sept 2015.
- Aperiodic 15 Prague - Brevnov Monastery, Sept 2015.
- Aperiodic 15 Prague - Brevnov Monastery, Sept 2015.
- Dynamical versus Diffraction Spectra in the Theory of Quasicrystals Oberwolfach, Germany, December 2014
- XXII Congress and General Assembly of the International Union of Crystallography (IUCr), Montreal, Canada, August 2014
- Almost periodic order: spectral, dynamical, and stochastic approaches, Banff, Canada, September 2011
- Operator Methods in Fractal Analysis, Wavelets and Dynamical Systems, Banff, Canada, December 2006
- Aperiodic Order: Dynamical Systems, Combinatorics, and Operators, Banff, Canada, May-June 2004
- Mathematics and Physics of Disordered Systems Oberwolfach, Germany, May 2004
- The Mathematics and Physics of Long-Range Aperiodic Order, Greisfald, Germany, August 2003
- Aspects of Symmetry, Banff, Canada, August 2001