Curriculum vitae. (updated January 2026)
Institutional email: gianluca[dot]giacchi[at]usi[dot]chResearchGate, Google Scholar, Scopus, MathSciNetI am a postdoctoral researcher in Lugano at Università della Svizzera Italiana (USI) since 2024, and a life member of the International Society for Analysis its Applications and Computation (ISAAC) since 2026. My work lies in mathematical analysis and scattered data analysis, with a particular focus on harmonic analysis, time-frequency and wavelet analysis, and partial differential equations.
I have contributed to the development of a unifying theory for time-frequency representations within a symplectic framework. In this context, I have studied metaplectic operators, central in quantum mechanics and signal processing, characterizing their boundedness on Lebesgue spaces and exploring connections with Hardy’s uncertainty principle. I have also worked on the time-frequency analysis of Schrödinger evolutions, investigating how wave functions propagate and concentrate in phase space using refined analytical tools.
In addition, I have contributed to the theory of samplets, a multiscale framework for the efficient representation of scattered data, where local polynomial approximation is combined with hierarchical constructions.
Overall, my research advances the theoretical foundations of time-frequency analysis from a symplectic perspective, with applications in signal processing, physics, and engineering, particularly in settings requiring accurate representation and reconstruction of complex signals.
Upcoming events
May 25 - May 28, 2026
XLV Convegno nazionale di analisi armonica. University of Bergamo.
Participant.
June 15 - June 19, 2026
Advanced Courses in Operator Theory and Complex Analysis ACOTCA 2026. University of Bologna.
Organizer.
June 21 - June 27, 2026
NUMTA 2026. Falkensteiner Club Funimation Garden, Calabria.
Invited speaker at the special session: Theoretical and computational methods for graphs (session dedicated to the memory of Professor Ezio Venturino).
July 13 - July 17, 2026
New perspectives on Evolution Equations and Related Topics. Queen Mary University of London (School of Mathematical Sciences).
Invited speaker.