- On December 20, 2013 Patrizia Daniele got the Abilitazione Scientifica Nazionale to fullprofessorship in the field of Operations Research.
- On February 5, 2014 Patrizia Daniele got the Abilitazione Scientifica Nazionale to fullprofessorship in the field of Mathematical Methods in Economics and in Actuarial and Financial Sciences.
- Referente TFA II Ciclo – Class A048 Applied Mathematics.
- Esperto Disciplinare della Valutazione ANVUR for new institution courses A.Y. 2014-15 and A.Y. 2016/17.
- Host of Professor Anna Nagurney, John F. Smith Memorial Professor of the University of Massachusetts at Amherst, during the Fulbright Senior Specialist Award in Business Administration at the University of Catania, March 5-19, 2008.
- Member of the Editorial Board of the Series “New Dimensions in Networks”, Edward Elgar Publishers Ltd., Editor: Prof. Anna Nagurney, University of Massachusetts.
- Member of the Editorial Board of the Journal Optimization Letters.
- Member of the Editorial Board of the journal Networks and Spatial Economics.
- Member of the Editorial Board of the Journal of Applied and Numerical Optimization.
- Member of the Editorial Board of the Journal of Dynamics and Games.
- Member of the Virtual Center for Supernetworks – UMass Amherst. Director: A. Nagurney (https://supernet.isenberg.umass.edu/default.htm).
- Member of Consiglio Direttivo AIRO (2019-2024).
- Member of the Teaching Committee of the PhD in Mathematics and Computational Science, University of Messina.
- Referee for journals (Journal of Optimization Theory and Applications, Operations Research Letters, European Journal of Operational Research, Quantitative Finance, Nonlinear Analysis, Computational Management Science, Mathematics and Computers in Simulation, Journal of Systems Science and Systems Engineering, Le Matematiche, Indian Journal of Pure and Applied Mathematics, Optimization Letters).
- Visiting position at the University of Massachusetts, Amherst, Department of Finance and Operations Management, Eugene M. Isenberg, School of Management, guest of Prof. Anna Nagurney, January 2-5, 2001 and July 9-10, 2004.
- Member of Progetto PRIN 2008 – Analisi Variazionale ed Equazioni alle Derivate Parziali. Coordinator Prof. A. Maugeri.
- Member of Progetto FIR 2013 – Applicazioni di metodi di minimax all’analisi e alla ricerca operativa. Coordinator Prof. B. Ricceri.
- Member of Progetto CLARA. Coordinator Prof. G. Pappalardo.
- Coordinator of Progetto di Ricerca GNAMPA 2015 – Nuove frontiere dei problemi di equilibrio su rete: dallo sviluppo sostenibile alla dinamica dei disastri ambientali ai crimini informatici.
- Member of Progetto “Modelli matematici nell’insegnamento-apprendimento della Matematica”, Department of Mathematics and Computer Science, University of Catania. Coordinator: Prof. L. Scrimali.
- Coordinator of Progetto FFABR – Variational Inequalities and Equilibrium Problems
- Member of the Research Project 2020: “Equilibrium problems: variational methods and game theory”, INDAM-GNAMPA. Coordinator: Prof. S. Giuffrè.
- Coordinator of the Interdepartmental Project 2020/2022 OMNIA – Ottimizzazione di Modelli di Network slIce 5G con UAV.
- Member of the Research project PNRR 2022 “HPC, Big Data e Quantum Computing”.
- Member of the Research Project PON 2022 “Giustizia Smart: Strumenti e modelli per ottimizzare il lavoro dei giudici – JUSTSmart”.
- Member of the European Research Project “HICONNECTS”.
- Local Investigator of the Research Project PRIN 2022 “ACHILLES – ecosustAinable effiCient tecH-drIven Last miLE logiStics”.
- Member of the Research Project Arrowhead FPVN 2024-2026.
- Coordinator of the Interdepartmental Project 2024/2026 NOVA – Network Optimization and Vulnerability Assessment.