What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Algebra
His primary areas of investigation include Integrable system, Mathematical physics, Nonlinear system, Quadrilateral and Pure mathematics.
In his study, Integer lattice is strongly linked to Lattice model, which falls under the umbrella field of Integrable system.
His work deals with themes such as Korteweg–de Vries equation, Operator and Inverse scattering problem, Inverse scattering transform, which intersect with Mathematical physics.
His studies in Nonlinear system integrate themes in fields like Initial value problem, Statistical physics, Multidimensional systems and Schrödinger equation.
The study incorporates disciplines such as Geometric group theory, Congruence relation and Discrete geometry in addition to Quadrilateral.
His Pure mathematics study incorporates themes from Discrete mathematics, Laplace transform, Coordinate system and Inscribed figure.
His most cited work include:
- Coherent structures in multidimensions. (198 citations)
- Recursion Operators and Bi-Hamiltonian Structures in Multidimensions. II (185 citations)
- Integrable symplectic maps (168 citations)
What are the main themes of his work throughout his whole career to date?
Paolo Maria Santini mainly investigates Integrable system, Mathematical analysis, Nonlinear system, Pure mathematics and Mathematical physics.
He has included themes like Partial differential equation, Inverse, Discrete geometry, Discretization and Vector field in his Integrable system study.
His Mathematical analysis research incorporates themes from Motion and Homogeneous space.
His Nonlinear system research focuses on subjects like Inverse problem, which are linked to Riemann hypothesis.
His work focuses on many connections between Pure mathematics and other disciplines, such as Quadrilateral, that overlap with his field of interest in Laplace transform, Inscribed figure, Integer lattice and Lattice model.
His work in the fields of Mathematical physics, such as Schrödinger's cat, intersects with other areas such as Dispersionless equation.
He most often published in these fields:
- Integrable system (58.82%)
- Mathematical analysis (45.59%)
- Nonlinear system (44.12%)
What were the highlights of his more recent work (between 2011-2020)?
- Integrable system (58.82%)
- Nonlinear system (44.12%)
- Vector field (8.82%)
In recent papers he was focusing on the following fields of study:
His primary areas of study are Integrable system, Nonlinear system, Vector field, Mathematical analysis and Plane.
His study in Integrable system is interdisciplinary in nature, drawing from both Simple and Inverse scattering transform.
The various areas that Paolo Maria Santini examines in his Nonlinear system study include Initial value problem and Einstein.
His research in Vector field intersects with topics in Inverse problem, Mathematical physics, Soliton, Inverse and Applied mathematics.
His Mathematical analysis study combines topics in areas such as Lemma and Opacity.
He has researched Plane in several fields, including Instability, Gravitational wave, Harmonic and Classical mechanics.
Between 2011 and 2020, his most popular works were:
- The inflammatory circuitry of miR-149 as a pathological mechanism in osteoarthritis (74 citations)
- Cadmium-induced apoptosis and necrosis in human osteoblasts: role of caspases and mitogen-activated protein kinases pathways. (34 citations)
- Integrable dispersionless PDEs arising as commutation condition of pairs of vector fields (20 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Geometry
Paolo Maria Santini mainly focuses on Vector field, Partial differential equation, Integrable system, Inverse problem and Mathematical physics.
His study on Partial differential equation is covered under Mathematical analysis.
The study incorporates disciplines such as Flow, Hierarchy, Inverse, Nonlinear system and Riemann hypothesis in addition to Integrable system.
His studies in Inverse integrate themes in fields like Cauchy problem, Soliton and Applied mathematics.
The Inverse problem study combines topics in areas such as Initial value problem and Simple.
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