What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Algebra
- Geometry
His main research concerns Pure mathematics, Mathematical physics, Quantum mechanics, Combinatorics and Quantum field theory.
His study in the fields of Orbifold under the domain of Mathematical physics overlaps with other disciplines such as Coulomb.
His study in the field of Quantum gravity, Static forces and virtual-particle exchange and Ground state also crosses realms of Laughlin wavefunction and Slater determinant.
His Quantum gravity study incorporates themes from Random matrix, Renormalization group, Causal structure, Universality and Curvature.
His Combinatorics research is multidisciplinary, incorporating perspectives in Discrete mathematics and Eigenvalues and eigenvectors.
P. Di Francesco has included themes like Torus, Special unitary group, Coset, Critical line and Conformal symmetry in his Quantum field theory study.
His most cited work include:
- 2D gravity and random matrices (1155 citations)
- Planar maps as labeled mobiles (254 citations)
- SU($N$) Lattice Integrable Models Associated With Graphs (197 citations)
What are the main themes of his work throughout his whole career to date?
P. Di Francesco mostly deals with Combinatorics, Pure mathematics, Mathematical physics, Enumeration and Quantum.
His Combinatorics research integrates issues from Discrete mathematics and Matrix.
The concepts of his Pure mathematics study are interwoven with issues in Polynomial and Quantum mechanics.
As part of one scientific family, P. Di Francesco deals mainly with the area of Mathematical physics, narrowing it down to issues related to the Conservation law, and often Direct proof.
His Enumeration research includes elements of Function, Loop and Vertex.
His research in Quantum tackles topics such as Plane which are related to areas like Link.
He most often published in these fields:
- Combinatorics (36.02%)
- Pure mathematics (29.19%)
- Mathematical physics (15.53%)
What were the highlights of his more recent work (between 2004-2018)?
- Combinatorics (36.02%)
- Pure mathematics (29.19%)
- Quantum (10.56%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Combinatorics, Pure mathematics, Quantum, Plane and Sign.
P. Di Francesco has researched Combinatorics in several fields, including Discrete mathematics, Geodesic, Conserved quantity and Boundary value problem.
His Geodesic research focuses on subjects like Quantum gravity, which are linked to Planar graph, Differential equation, Bijection, injection and surjection, Random matrix and Graph theory.
P. Di Francesco incorporates Pure mathematics and Sum rule in quantum mechanics in his studies.
His work in Quantum tackles topics such as Polynomial which are related to areas like Boundary, Identity and Basis.
His Plane study combines topics in areas such as Enumeration and Conjecture.
Between 2004 and 2018, his most popular works were:
- Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule (109 citations)
- Quantum Knizhnik-Zamolodchikov equation, generalized Razumov-Stroganov sum rules and extended Joseph polynomials (74 citations)
- The quantum Knizhnik–Zamolodchikov equation, generalized Razumov–Stroganov sum rules and extended Joseph polynomials (62 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Algebra
- Geometry
His primary areas of study are Combinatorics, Pure mathematics, Quantum, Loop and Conjecture.
His Combinatorics study combines topics from a wide range of disciplines, such as Discrete mathematics, Random matrix, Sign and Matrix model.
His Integrable system study in the realm of Pure mathematics interacts with subjects such as Sum rule in quantum mechanics.
He works mostly in the field of Quantum, limiting it down to topics relating to Plane and, in certain cases, Enumeration, Transpose and Basis, as a part of the same area of interest.
His Loop research incorporates themes from Cylinder, Quantum mechanics and Spin chain.
His Conjecture study incorporates themes from Link, Conserved quantity, Partition function and Periodic boundary conditions.
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