Alessio Martini

Dr.

Accepting PhD Students

PhD projects

Dr Martini is interested in supervising doctoral research students in harmonic analysis and related topics.

20102022

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Personal profile

Qualifications

  • PhD in Mathematics, Scuola Normale Superiore (Pisa, Italy), 2010
  • Diploma di Licenza in Mathematics, Scuola Normale Superiore (Pisa, Italy), 2007
  • MSc in Mathematics, University of Pisa (Italy), 2006
  • BSc in Mathematics, University of Pisa (Italy), 2004

Biography

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.

Research interests

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.

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