Research

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. 

If you want to find more about this area I recommend the book Aperiodic Order Volume 1 .

• Discovery Grant, NSERC, 2024-2029.

• Chancellor's Research Chairs , MacEwan University, 2023.

• Scholarly Activity Support Fund, MacEwan University, 2022.

• Distinguisher research award, MacEwan University, 2022.

• Discovery Development Grant, NSERC, 2020-2024.

• Simons Visiting Professor, MFO, 2017.

• Discovery Grant, NSERC, 2014-2020.

• Research, Scholarly Activity & Creative Achievement Fund Grant, MacEwan University,  2013.

• Jose Aliste-Prieto

• Michael Baake

• Christian Huck

• Gerhard Keller

• Jeong-Yup Lee

• Daniel Lenz

• Robert V. Moody

• Felix Pogorzelski

• Chris Ramsey

• Christoph Richard

• Bernd Sing

• Timo Spindeler

• Adi Tcaciuc

• Venta Terauds