Dr Claudia Garetto

I am a Mathematician working in the area of Partial Differential Equations and Mathematical Analysis. I am a Professor in the School of Mathematics at Queen Mary University of London and a Visiting Professor in the School of Mathematical Sciences at Loughborough University. Previously I have been a Junior Research Fellow at Imperial College London.

My research interests are:

• Hyperbolic equations and systems with multiplicities

• PDEs with singular coefficients and very weak solutions

• Sub-elliptic problems on compact Lie groups

• Microlocal analysis, Fourier integral operators and pseudo-differential operators

• Algebras of generalised functions

EPSRC support for my research:

EP/L026422/1: Hyperbolic systems with multiplicities (2014-2017)

EP/V005529/1:  Hyperbolic problems with discontinuous coefficients (2021-2025)

List of publications

CV

UK Network on Hyperbolic Equations and Related Topics (LMS funded)

 LTCC module on pseudodifferential operators and applications to PDEs

LTCC slides on pseudos

LTCC research oriented lecture

LTCC Sobolev spaces