Dr Alessio Martini PhD

Dr Alessio Martini

School of Mathematics
Lecturer in Mathematical Analysis

Contact details

Address
School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

Alessio Martini is a Lecturer and a member of the Mathematical Analysis Research Group in the School of Mathematics.

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.

Teaching

Teaching Programmes

  • Single Honours Mathematics (G100, G103, G141)
  • Mathematics Majors: Mathematics with Business Management (G1N2); Mathematics with Engineering (J920); Mathematics with Philosphy (G1V5)
  • Joint Honours Mathematics: Mathematics & Computer Science (GG14); Pure Mathematics & Computer Science (GGC4); Mathematics & Sport Science (GC17); Mathematics & Music (GW13); Mathematics & Philosophy (GV15)
  • Theoretical Physics and Applied Mathematics (FG31)
  • Mathematics Minors: French Studies and Mathematics (GR11); German Studies and Mathematics (GR12)
  • Natural Sciences (CFG0, FCG0)

Postgraduate supervision

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

Research

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.

Publications

  • Martini, A. (2016), Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres, Math. Z. (to appear).

  • Martini, A. and Müller, D. (2016), Spectral multipliers on 2-step groups: topological versus homogeneous dimension, Geom. Funct. Anal. 26: 680-702. dx.doi.org:10.1007/s00039-016-0365-8
  • Casarino, V., Cowling, M.G., Martini, A., and Sikora, A. (2015), Spectral multipliers for the Kohn Laplacian on forms on the sphere in Cn, J. Geom. Anal. (to appear).

  • Martini, A. (2015), Spectral multipliers on Heisenberg-Reiter and related groups, Ann. Mat. Pura Appl. 194: 1135-1155. dx.doi.org/10.1007/s10231-014-0414-6

  • Martini, A., Ottazzi, A., and Vallarino, M. (2015), Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups, J. Anal. Math. (to appear).

View all publications in research portal