Research output per year
Research output per year
Accepting PhD Students
PhD projects
Dr Martini is interested in supervising doctoral research students in harmonic analysis and related topics.
Research activity per year
Alessio Martini studied Mathematics in Pisa (Italy), where he was simultaneously a student of the Università di Pisa and of the Scuola Normale Superiore (SNS). After obtaining a Master’s degree in 2006, he went on to study for a PhD in Mathematics at the SNS, followed by postdoctoral positions at the SNS, the University of New South Wales (Sydney, Australia), and the Christian-Albrechts-Universität zu Kiel (Germany). He was awarded a Research Fellowship of the Alexander von Humboldt Foundation and a research grant from the Deutsche Forschungsgemeinschaft (DFG). Alessio joined the School of Mathematics here at Birmingham in 2014.
Alessio's main area of research is harmonic analysis on Lie groups and their homogeneous spaces. This area is characterised by a strong interplay between techniques of functional analysis and Euclidean harmonic analysis and results from algebra and representation theory.
Alessio has worked on uncertainty inequalities and on spectral theory for commuting systems of differential operators. Recently he has been interested in the problem of obtaining sharp spectral multiplier theorems for non-elliptic hypoelliptic operators, such as sublaplacians, which arise naturally in non-commutative contexts.
Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
Research output: Book/Report › Anthology
Research output: Contribution to journal › Article › peer-review
Engineering & Physical Science Research Council
1/01/17 → 31/12/18
Project: Research Councils