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This is my professional website. Please read the section News below for news and updates.
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News
Published 23/04/2023
Several new preprints have been sent to journals for publication. Consult the publications section of this website.Published 10/02/2023
New visit at the Korteweg - de Vries Institute for Mathematics of the University of Amsterdam, Professor Sergey Shadrin.Published 10/07/2022
R. Vitolo delivered an invited talk at the workshop Integrable systems, Frobenius manifolds and related topics, Institut de Mathématiques de Bourgogne, Dijon, 6 - 9 July 2022.Published 01/07/2022
R. Vitolo spent one semester (January-June 2022) at the Korteweg - de Vries Institute for Mathematics of the University of Amsterdam, kindly hosted by Professor Sergey Shadrin.Published 01/06/2021
The paper by J. Vašíček and R. Vitolo WDVV equations: Hamiltonian operators and symbolic computations has been published in the journal Applicable Algebra in Engineering, Communication and Computing (2022).Published 01/06/2021
The paper by S. De Bartolo, S. Rizzello, E. Ferrari, F. Frega, G. Napoli, R. Vitolo, M. Scaraggi, C. Fallico, G. Severino Scaling behaviour of braided active channels: a Taylor's power law approach has been published in the journal Eur. Phys. J. Plus (2022) 137:622.Published 30/03/2022
The preprint by P. Vergallo and R. Vitolo Projective geometry of homogeneous second order Hamiltonian operators is available in arXiv.Published 01/02/2022
The paper by M. Casati, P. Lorenzoni, D. Valeri and R. Vitolo Weakly nonlocal Poisson brackets: tools, examples, computations has been published in the journal Computer Physics Communications (2022).Published 05/12/2021
The new preprint by J. Vašíček and R. Vitolo WDVV equations: Hamiltonian operators and symbolic computations is available in ArXiv.Published 10/11/2021
R. Vitolo delivered a talk at Krasil'shchik's Seminar at IUM, title: WDVV equations and invariant bi-Hamiltonian formalismPublished 20/10/2021
R. Vitolo was an invited speaker at the conference in honour of the 75th birthday of A.K. Pogrebkov, September 2021, title of the talk: WDVV equations and invariant bi-Hamiltonian formalismPublished 18/09/2021
R. Vitolo delivered a talk at the School on Topological Recursion , title: WDVV equations and invariant bi-Hamiltonian formalismPublished 05/08/2021
The paper by J. Vašíček and R. Vitolo WDVV equations and invariant bi-Hamiltonian formalism has been published in Journal of High Energy Physics.Published 01/08/2021
R. Vitolo delivered a talk at the conference Applications of Computer Algebra. Title: Weakly nonlocal Poisson brackets: tools, examples, computations.Published 15/07/2021
R. Vitolo delivered a talk at the joint seminar École Politechnique Fédérale Lausanne (Switzerland) - Friedrich Schiller University of Jena (Germany). Title: Homogeneous Hamiltonian operators, projective geometry and integrable systems.Published 29/06/2021
The paper by M.V. Pavlov, P. Vergallo and R. Vitolo Classification of bi-Hamiltonian pairs extended by isometries has been published in Proceedings of the Royal Society A.Published 30/05/2021
The new preprint by F. Nicassio, P. Vergallo, R. Vitolo, G. Scarselli Two dimensional finite different model with Singularity Attenuation Factor Evaluation (SAFE) for structural health monitoring of single lap joints has been submitted for publication.Published 15/05/2021
The new preprint by S. De Bartolo, S. Rizzello, A. Notaro, G. Napoli, R. Vitolo, E. Ferrari, C. Fallico, E. Leone, G. Severino Variance, mean and jump process in braided channel networks has been submitted for publication.Published 28/04/2021
The new preprint by J. Vašíček and R. Vitolo WDVV equations and invariant bi-Hamiltonian formalism is available in ArXiv.Published 20/04/2021
Seminar of R. Vitolo at the Instituto de Ciencias Matemáticas - Madrid, Spain.Published 01/02/2021
The new research project of the (Italian) Istituto Nazionale di Fisica Nucleare, named Mathematical Methods in Non Linear Physics started. Its activities will take place in 2021-2023. The project consists of 3 research units (Lecce, Rome, Milan-Bicocca) and 17 researchers, coordinated by R. Vitolo.Published 19/01/2021
The new preprint by M. Casati, P. Lorenzoni, D. Valeri and R. Vitolo Weakly nonlocal Poisson brackets: tools, examples, computations is available in ArXiv.Published 27/12/2020
The paper by P. Vergallo and R. Vitolo Homogeneous Hamiltonian operators and the theory of coverings has been published in Differential Geometry and its Applications, 75 (2021) 101713.Published 10/11/2020
The new preprint by M.V. Pavlov, P. Vergallo and R. Vitolo Classification of bi-Hamiltonian pairs extended by isometries is available in ArXiv.Published 21/10/2020
I delivered a (virtual) seminar at the VISS series on Integrable Systems on the projective geometry of homogeneous operators.Published 31/07/2020
The new preprint by P. Vergallo and R. Vitolo Homogeneous Hamiltonian operators and the theory of coverings is available in ArXiv. It is dedicated to the memory of A.M. Vinogradov. See also the obituary of A.M. Vinogradov.Published 05/02/2020
The paper by M. Casati, P. Lorenzoni, R. Vitolo: Three computational approaches to weakly nonlocal Poisson brackets has been published in Studies in Applied Mathematics (2020) p. 1–37, DOI: 10.1111/sapm.12302Published 05/02/2020
Visit of P. Lorenzoni at the Dipartimento di Matematica e Fisica 'E. De Giorgi' (25/01/20 - 30/01/20).Published 24/12/2019
The paper by P. Lorenzoni, R. Vitolo: Weakly nonlocal Poisson brackets, Schouten brackets and supermanifolds has been published in the Journal of Geometry and Physics Vol. 149 (2020) 103573.Published 26/11/2019
On 14-22 October I was visiting Prof. S. Shadrin at the Korteweg--De Vries Institute of the the University of Amsterdam for a scientific collaboration on the geometry of integrable systems.Published 26/11/2019
Visiting the Department of Mathematics, Università di Messina, Prof. N. Manganaro and M. Pavlov, 22-25 September. I delivered a seminar on the geometry of quasilinear first order systems of conservation laws with a third-order homogeneous operator.Published 26/11/2019
Speaker at the CASC 2019 conference, 26-30 August, Plekhanov Russian University of Economics, Moscow, Russia.Published 12/06/2019
Invited speaker at the WASCOM 2019 conference, Maiori(SA).Published 25/05/2019
Invited speaker at the workshop Brackets, reduction and integrability, at the School of Mathematics of the University of Leeds. Research activity with Prof. A. Fordy.Published 15/05/2019
The paper by R. Vitolo: Computing with Hamiltonian operators has been accepted for publication in Computer Physics Communications. The journal is no.1 in the Web of Science category PHYSICS, MATHEMATICAL by its Impact Factor (2017). From one of the Referee's report: ... the paper provides an impressive collection of non-trivial examples taken from literature. These examples set a high standard for future software developers in this area.Published 10/04/2019
Seminar at the Independent University of Moscow, J.S. Krasil'shchik and A.M. Verbovetsky's seminar, see here for details.Published 08/04/2019
Seminar on Integrable Systems at the School of Mathematics and Mathematical Modelling of the Bauman State Technical University of Moscow.Published 05/04/2019
The paper by M. Pavlov and R. Vitolo: Bi-Hamiltonian structure of the Oriented Associativity equation has been published in J. Phys. A: Theor. Math. - Letters. The section `Letters' is devoted to "outstanding short papers reporting new and timely developments in mathematical and theoretical physics".Published 02/04/2019
The new preprint by M. Casati, P. Lorenzoni, R. Vitolo: Three computational approaches to weakly nonlocal Poisson brackets is available online at arXiv.Published 01/04/2019
Visit of Prof. S. Agafonov, Universidade Estadual Paulista (UNESP), Campus de São José do Rio Preto, to R. Vitolo at the Dipartimento di Matematica e Fisica E. De Giorgi of the Università del Salento, in the framework of a FAPESP project.Published 25/03/2019
Seminar at the China University of Mines and Technology, Beijing, China 25/02/2019, title: Geometry of third-order homogeneous Hamiltonian operators and applications to integrable systems.Published 25/03/2019
Visit to Prof. Y. Zhang at the Tsinghua University, Beijing, China, 21/02-02/03/2019. Two seminars delivered.Published 29/01/2019
Visit to Prof. S. Shadrin at the Korteweg--De Vries Institute of the the University of Amsterdam. A seminar was delivered on 4 February 2019.Published 29/01/2019
Visit of Prof. P. Lorenzoni from the Universit\`a di Milano--Bicocca at the Dipartimento di Matematica e Fisica ``E. De Giorgi'', 14-18/01/2019.Published 10/01/2019
Visiting the Institute of Advanced Studies of the Loughborough University, Loughborough, Leicestershire, UK, 7-13/01/2019.Published 12/12/2018
Seminar at the Landau Institute for Theoretical Physics, Chernogolovka, Russia, 14/12/2018 h. 13.00, title: Projective-geometric aspects of the WDVV equationsPublished 5/12/2018
The new preprint by M.V. Pavlov, R.F. Vitolo: Bi-Hamiltonian structure of the Oriented Associativity equation is available online at the arXiv.Published 24/11/2018
The paper by S. Carrino, F. Nicassio, G. Scarselli, R. Vitolo: Finite difference model of wave motion for Structural Health Monitoring of Single Lap Joints has been published on the Int. J. of Solids and Structures.Published 19/11/2018
This web site has been completely restyled.
Last updated: 28/07/2023