GORGONE Matteo

PERSONAL INFORMATION

First name: Matteo.
Last name: Gorgone.
E-mail: mgorgone@unime.it
Address: Viale F. Stagno d'Alcontres 31, 98166 Messina, Italy.
Scopus Author ID: 56181821300
Orcid ID: 0000-0002-5146-5524
ResearchGate: https://www.researchgate.net/profile/Matteo-Gorgone
Google Scholar: https://scholar.google.it/citations?user=qjG3GlgAAAAJ&hl=it
Web page: http://mat521.unime.it/~gorgone

EDUCATION

- "24 CFU per accesso FIT" on December 28th, 2018 at the University of Messina.
- Ph.D. in Mathematics and Computer Science on March 27th, 2017 at the University of Catania, defending a doctoral thesis titled "Symmetries, Equivalence and Decoupling of First Order PDE's", advisor Prof. Francesco Oliveri (University of Messina).
- Master's Degree in Mathematics on December 19th, 2012 at the University of Messina, discussing a thesis titled "Trasformazioni di equivalenza di leggi di bilancio dissipative" with a grade of 110/110 cum laude.
- Bachelor's Degree in Mathematics on December 17th, 2010 at the University of Messina, discussing a thesis titled "Su un modello di dinamica cellulare nella risposta immunitaria mediata dai linfociti T" with a grade of 110/110 cum laude.

POSITIONS

- December 31th, 2021 - In progress: Assistant Professor in Mathematical Physics (S.S.D. MAT/07) at the University of Messina.
- July 8th, 2020 - December 30th, 2021: Postdoctoral Researcher in Mathematical Physics (S.S.D. MAT/07) at the University of Messina. Title of the research project: "Discrete and continuous dynamical models of complex systems, and determination of exact, approximate or numerical solutions".

MAIN RESEARCH INTERESTS

- Classical and operatorial mathematical models: analytical and numerical solutions.
- Numerical solutions of system of differential equations with large dimensionality.
- Lie group theory and applications of ordinary and partial differential equations.
- Approximate, conditional, contact and equivalence symmetries.
- Continuum mechanics and thermodynamics.
- Scientific computer programming (symbolic and numerical).

Referee for the journals: AIMS Mathematics, Computation, International Journal of Molecular and Theoretical Physics, Journal of Lie Theory, Mathematical Modelling and Analysis, Mathematics, Symmetry.

RESEARCH PROJECTS AND AWARDS

- A.Y. 2021/2022: Fundings: Finanziamento Attività di Base della Ricerca di Ateneo (FFABR Unime 2022).
- December, 2021: Kovalevskaya Grant for the International Congress of Mathematicians 2022 (Saint Petersburg (on line), Russia, July 6th-14th, 2022).
- A.Y. 2020/2021: Principal investigator of the "Progetto Giovani GNFM 2020" of national research titled "Modelli dinamici continui e discreti di sistemi complessi" funded by G.N.F.M.
- A.Y. 2015/2016: Member of the "Progetto Giovani" of national research titled "Formazione di pattern, insorgenza di fenomeni oscillatori e soluzioni localizzate in sistemi di reazione-diffusione con diffusione non lineare" funded by G.N.F.M.
- January 1st, 2014 - In progress: Member of the National Group of Mathematical Physics (G.N.F.M.) of the "Istituto Nazionale di Alta Matematica" (I.N.d.A.M.).
- November 1st, 2013 - October 31th, 2016: Ph.D. scholarship in Mathematics and Computer Science at the University of Catania.

TEACHING ACTIVITY

- A.Y. 2022/2023: "Mathematical Methods and Models for Data Science" (S.S.D. MAT/07, Master's Degree in Data Science) at the University of Messina.
- A.Y. 2022/2023: "Mathematics for Data Analysis" (S.S.D. MAT/07, Bachelor's Degree Course in Computer Science, curriculum Data Analysis) at the University of Messina.
- A.Y. 2022/2023: "Simmetrie di Lie di equazioni differenziali" (Ph.D. Course in "Mathematics and Computational Science") at the University of Messina.
- A.Y. 2022/2023: "Corso LaTeX" (Degree Course in Mathematics) at the University of Messina.
- A.Y. 2021/2022: "Mathematics for Data Analysis" (S.S.D. MAT/07, Bachelor's Degree Course in Computer Science, curriculum Data Analysis) at the University of Messina.
- A.Y. 2021/2022: "Computer Algebra" (Ph.D. Course in "Mathematics and Computational Science") at the University of Messina.
- A.Y. 2021/2022: "Corso LaTeX" (Degree Course in Mathematics) at the University of Messina.
- A.Y. 2020/2021: "Corso LaTeX" (Degree Course in Mathematics) at the University of Messina.
- October 1st, 2019 - September 30th, 2022: Teaching assistant for the Master's Degree course in Mathematics "Geometric Methods in Mathematical Physics" (S.S.D. MAT/07) at the University of Messina.
- October 1st, 2018 - September 30th, 2021: Teaching assistant for the Master's Degree course in Mathematics "Lie Symmetries of Differential Equations" (S.S.D. MAT/07) at the University of Messina.
- April, 2019 - June, 2019: Tutor in the project "Piano Lauree Scientifiche" at the University of Messina.
- May, 2016 - November, 2016: Specialized Tutor in the project "Attività di tutorato specialistico - didattico per il potenziamento delle conoscenze dell'accesso ai corsi di studio a numero programmato" at the University of Messina.
- November, 2016: Tutor in the project "Attività di tutorato informativo e per attività didattico-integrative, propedeutiche e di recupero sui fondi M.I.U.R." at the University of Messina.
- April, 2016 - July, 2016: Tutor in the project "Piano Lauree Scientifiche" at the University of Messina.

ORGANIZED CONFERENCES

- Member of the organizing committee of the workshop "Non-Equilibrium Thermodynamics, Continuum Physics and Applied Perspectives" (Accademia Peloritana dei Pericolanti, Messina, Italy, June 23th-24th, 2022). Web page: http://mat521.unime.it/netcp
- Member of the organizing committee of the workshop "Quantum Mechanics: Mathematics and Ideas" (Accademia Peloritana dei Pericolanti, Messina, Italy, September 19th, 2018). Web page: http://www.accademiapeloritana.it/Eventi2018/Documentazione/19 settembre 2018.pdf
- Member of the organizing committee of the workshop "4th Conference on Recent Trends in Nonlinear Phenomena" (Accademia Peloritana dei Pericolanti, Messina, Italy, September 18th-20th, 2017). Web: http://www.sti.uniurb.it/servadei/ConferenceMessina2017

INVITED TALKS

- "Topics in nonlinear analysis and applications" (University of Milano "Bicocca", Italy, March 15th-16th, 2017). Title of the talk: "Reduction of quasilinear first order PDEs to partially or fully decoupled systems". Web page: http://www.sti.uniurb.it/servadei/MeetingMilanoBicocca2017/

CONFERENCES AND TALKS

- "Non-Equilibrium Thermodynamics, Continuum Physics and Applied Perspectives" (Accademia Peloritana dei Pericolanti, Messina, Italy, June 23th-24th, 2022). Title of the talk: "Thermodynamical analysis of Korteweg fluids". Web page: http://mat521.unime.it/netcp
- "XXI International Conference on Waves and Stability in Continuous Media" (Catania, Italy, June 6th-10th, 2022). Title of the talk: "Direct approach to approximate conservation laws". Web page: https://www.dmi.unict.it/wascom2021
- "Diffieties, Cohomological Physics, and Other Animals, Alexandre Vinogradov Memorial Conference." (Independent University of Moscow and Moscow State University, Russia, December 13th-17th, 2021). Title of the talk: "Approximate Noether symmetries and approximate conservation laws". Web page: https://gdeq.org/Diffieties,_Cohomological_Physics,_and_Other_Animals
- "Joint European Thermodynamics Conference" (Prague, Czech Republic, June 14th-18th, 2021). Title of the talk: "Exploitation of the entropy principle for third grade Korteweg fluids". Web page: https://www.jetc2021.eu/
- "Local and Nonlocal Geometry of PDEs and Integrability" (S.I.S.S.A., Trieste, Italy, October 7th-12th, 2018). Title of the talk: "Approximate conditional symmetries of PDEs". Web page: https://gdeq.org/Local_and_Nonlocal_Geometry_of_PDEs_and_Integrability
- "Goettingen Workshop on Integrable Systems and Related Mathematical Structures 2016" (University of Goettingen, Germany, March 30th-April 1st, 2016). Title of the talk: "Decoupling of first order quasilinear systems of PDEs". Web page: http://goewis.math-phys.org/
- "XL Summer School on Mathematical Physics" (Ravello (SA), Italy, September 14th-26th, 2015). Title of the talk: "Decoupling of hyperbolic quasilinear systems". Web page: https://www.altamatematica.it/storico/gnfm/ravello/ravello2015.html
- "XVIII International Conference on Waves and Stability in Continuous Media" (Cetraro (CS), Italy, June 1st-5th, 2015). Title of the talk: "Decoupling of first order quasilinear systems".
- "I metodi e i modelli della fisica matematica e della moderna matematica applicata" (University of Messina, Italy, November 27th-28th, 2014). Title of the talk: "Decoupling of (1+1)-dimensional first order quasilinear systems".
- "XXXIX Summer School on Mathematical Physics" (Ravello (SA), Italy, September 15th-27th, 2014). Title of the talk: "Reduction of balance laws to autonomous conservation laws by means of equivalence transformations". Web page: https://www.altamatematica.it/storico/gnfm/ravello/ravello2014.html

INSTITUTIONAL POSITIONS

- Member of the Department MIFT Board for the academic three-year period 2021-2024, in the role of researchers' representative.
- Member of the Quality Assurance Group Commission of the Master's Degree Course in Data Science for the academic year 2022/2023.

PUBLICATIONS

- M. Gorgone, G. Inferrera. Direct approach to approximate conservation laws. European Physical Journal Plus, 138, 447-467, 2023.
- M. Gorgone, F. Oliveri, A. Ricciardello, P. Rogolino. Two-dimensional equilibrium configurations in Korteweg fluids. Theoretical and Applied Mechanics, 49, 111-122, 2022.
- M. Gorgone, P. Rogolino. A thermodynamical description of third grade fluid mixtures. Journal of Non-Equilibrium Thermodynamics, 47, 133-142, 2022.
- M. Gorgone, F. Oliveri. Approximate Noether symmetries of perturbed Lagrangians and approximate conservation laws. Mathematics, 9, 2900, 2021.
- M. Gorgone, F. Oliveri, P. Rogolino. Thermodynamical analysis and constitutive equations for a mixture of viscous Korteweg fluids. Physics of Fluids, 33, 093102, 2021.
- M. Gorgone, F. Oliveri. Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation. Zeitschrift fur angewandte Mathematik und Physik, 72, 119, 2021.
- M. Gorgone, P. Rogolino. On the characterization of constitutive equations for third-grade viscous Korteweg fluids. Physics of Fluids, 33, 043107, 2021.
- M. Gorgone, F. Oliveri, P. Rogolino. Continua with non-local constitutive laws: exploitation of entropy inequality. International Journal of Non-Linear Mechanics, 126, 103573, 2020.
- V. A. Cimmelli, M. Gorgone, F. Oliveri, A. R. Pace. Weakly nonlocal thermodynamics of binary mixtures of Korteweg fluids with two velocities and two temperatures. European Journal of Mechanics - B/Fluids, 83, 58-65, 2020.
- R. Di Salvo, M. Gorgone, F. Oliveri. Generalized Hamiltonian for a two-mode fermionic model and asymptotic equilibria. Physica A: Statistical Mechanics and its Applications, 540, 123032, 2020.
- M. Gorgone, F. Oliveri. Lie remarkable partial differential equations characterized by Lie algebras of point symmetries. Journal of Geometry and Physics, 144, 314-323, 2019.
- M. Gorgone, F. Oliveri. Approximate Q-conditional symmetries of partial differential equations. Electronic Journal of Differential Equations, 25, 133-147, 2018.
- M. Gorgone. Approximately invariant solutions of creeping flow equations. International Journal of Non-Linear Mechanics, 105, 212-220, 2018.
- R. Di Salvo, M. Gorgone, F. Oliveri. A consistent approach to approximate Lie symmetries of differential equations. Nonlinear Dynamics, 91, 371-386, 2018.
- R. Di Salvo, M. Gorgone, F. Oliveri. (H,ρ)–induced political dynamics: facets of the disloyal attitudes into the public opinion. International Journal of Theoretical Physics, 56, 3912-3922, 2017.
- R. Di Salvo, M. Gorgone, F. Oliveri. Political dynamics affected by turncoats. International Journal of Theoretical Physics, 56, 3604-3614, 2017.
- M. Gorgone, F. Oliveri, M. P. Speciale. On the decoupling problem of general quasilinear first order systems in two independent variables. Journal of Mathematical Analysis and Applications, 446, 276-298, 2017.
- M. Gorgone, F. Oliveri. Nonlinear first order PDEs reducible to autonomous form polynomially homogeneous in the derivatives. Journal of Geometry and Physics, 113, 53-64, 2017.
- M. Gorgone, F. Oliveri. Nonlinear first order partial differential equations reducible to first order homogeneous and autonomous quasilinear ones. Ricerche di Matematica, 66, 51-63, 2017.
- M. Gorgone, F. Oliveri, M. P. Speciale. Reduction of balance laws in (3+1)-dimensions to autonomous conservation laws by means of equivalence transformations. Acta Applicandae Mathematicae, 132, 333-345, 2014.