Financed scholarships:

• Differential geometry and applications to modern physics
• Cooperative Effects in quantum systems
• Lead halide perovskites: size-dependent properties and photostability

Differential geometry and applications to modern physics

1 scholarship - Student: Antonio Michele Miti
Joint research project between Università Cattolica del Sacro Cuore and KU Leuven

The project proposes the following mutually intermingled research paths mostly focussed towards symplectic geometry and its multisymplectic generalisations, together with applications to modern physics issues, both classical and quantum mechanical, with an emphasis on topological aspects.

Research topics: Geometric fluid mechanics. Homotopy moment maps and multimoment map reduction. Geometry of knot spaces. Geometric quantization and reduction.

Solid background in differential geometry and topology and in the mathematics of classical and quantum mechanics is required.

Prof. Mauro Spera UCSC tutor	Prof. Marco Zambon KU Leuven Tutor

Cooperative Effects in quantum systems

1 scholarship - Student: Francesco Mattiotti
Joint research project between Università Cattolica del Sacro Cuore and University of Notre Dame du Lac

Research topics: Open Quantum systems. Quantum transport in mesoscopic system. Disordered systems. Superconductivity. Superradiance. Long range interacting systems.

The aim is to elaborate a common theoretical framework able to explain the emergence of  cooperative phenomena, such as superradiance and superconductivity.  Application to quantum transport in different realistic systems  will  be also considered. The candidate should have a strong background in quantum mechanics, open quantum systems and numerical simulations.

Prof. Fausto Borgonovi UCSC tutor	Dr. Luca Celardo UCSC tutor	Prof. Boldizsar Janko ND tutor

Lead halide perovskites: size-dependent properties and photostability

1 scholarship - Student: Michael Brennan
Joint research project between University of Notre Dame du Lac and Università Cattolica del Sacro Cuore

Research topics: Ultrafast Dynamics of single Perovskite Nanostructures".

The properties of nanomaterials often depend on the size and shape of the structure, as well as the density of trap sites.  Because samples of nanomaterials have a distribution of these parameters, it is important to study single structures.  In this project ultrafast transient absorption microscopy will be used to interrogate charge carrier dynamics in single Perovskite nanostructures.  These measurements will provide detailed information about how charge carrier diffusion and trapping depend on size and shape, as well as the surface chemistry of the nanostructure.  This information is important for optimizing these materials for applications, such as solar cells or light emitting diodes.

Dr. Francesco Banfi UCSC tutor	Prof. Masaru Kuno ND tutor	Prof. Greg Hartland ND tutor