Research Projects and International Collaborations

My research focuses on nonlocal and integrodifferential operators, fractal and irregular domains, and diffusion phenomena, with applications across mathematics, physics, engineering, and finance. I have served as Principal Investigator in several national projects funded by Sapienza University of Rome, GNAMPA, and other Italian research bodies, and I actively participate in international scientific networks.

 National Projects (as Principal Investigator or Unit Member)

• 2024 – Sapienza University
  Nonlocal operators in irregular domains: well-posedness results, asymptotics, and numerical approximation.
  
  

• 2024 – Sapienza University
  Visiting Professor Grant: Prof. G. Ruiz-Goldstein.
  
  

• 2023–present – UMI-CLIMATH (Unione Matematica Italiana)
  Mathematical modeling for the study of climate, climate change, and its impacts.
  
  

• 2023–present – MISE – Airone Project, Lauro Group
  Member of the research unit on optimal shapes.
  
  

• 2023 – Sapienza University
  Irregularity in pure and applied Mathematics, Science and Engineering.
  
  

• 2022–present – PRIN (Progetti di Ricerca di Interesse Nazionale)
  Anomalous Phenomena on regular and irregular domains: approximating complexity for the applied sciences.
  
  

• 2022 – GNAMPA
  Anomalous diffusion and its applications to fractal dynamics, physics and mathematical finance.
  
  

• 2020 – Sapienza University
  Fractal analysis between theory and applications.
  Visiting Professor Grant: Prof. A. Teplyaev.
  
  

• 2019 – Sapienza University
  A constructive approach to analysis on fractals and irregular structures.
  
  

• 2018 – Sapienza University
  Vector Boundary Value Problems on fractafolds.
  Supervisor of the MSCA-IF 2018 project “Boundary conditions on smooth and fractal surfaces” (Seal of Excellence – Dr. Sorgentone).
  
  

• 2017 – Sapienza University
  Boundary Value Problems with Integrodifferential Terms on Fractafolds.
  
  

• 2014 – Sapienza University
  Fractal structures and fluids.
  
  

• 2013 – Sapienza University
  Diffusion phenomena across fractal structures.
  GNAMPA Visiting Professor Grant – Prof. U. Mosco (WPI, USA).
  
  

• 2009 – Sapienza University
  Transmission phenomena across fractal structures. (Federated University Project)
  
  

• 2008 – Sapienza University
  Heat diffusion on fractal domains. (Federated University Project)
  
  

• 1997 – Sapienza University
  Mathematical methods and models for problems arising from applied sciences. (60% funding)
  
  

 International Collaborations

I am also actively involved in European research networks supported by the COST (European Cooperation in Science and Technology) program:

• COST Action CA24122 – mSPACE
  Multiscale Stochastics, Patterns, and Analysis of Combinatorial Environments
  Member of this network focused on multiscale stochastic modeling in complex combinatorial settings.
  
  

• COST Action CA18232 – WG4
  European Network for the Investigation of Variational Methods on Graphs and Networks
  Member of Working Group 4, contributing to the development of variational methods on graphs and networks.