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- John Harnad

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
35
Citations
5,333
143
World Ranking
1909
National Ranking
78

2006 - CAP-CRM Prize in Theoretical and Mathematical Physics, Canadian Association of Physicists and Centre de Recherches Mathématiques

- Mathematical analysis
- Quantum mechanics
- Pure mathematics

John Harnad mainly investigates Mathematical analysis, Pure mathematics, Matrix, Hamiltonian system and Orthogonal polynomials. His research investigates the link between Mathematical analysis and topics such as Monodromy that cross with problems in Differential operator, Linear subspace and Unitary matrix. His work on Pure mathematics deals in particular with Symplectic geometry, Meromorphic function, Automorphism, Invariant and Fredholm determinant.

His Hamiltonian system study incorporates themes from Hamiltonian and Isospectral. The various areas that John Harnad examines in his Orthogonal polynomials study include Polynomial and Partition function. As part of the same scientific family, John Harnad usually focuses on Partition function, concentrating on Polynomial matrix and intersecting with Combinatorics.

- Darboux coordinates and Liouville-Arnold integration in loop algebras (155 citations)
- Darboux coordinates and Liouville-Arnold integration in loop algebras (155 citations)
- Group actions on principal bundles and invariance conditions for gauge fields (126 citations)

His main research concerns Pure mathematics, Mathematical analysis, Mathematical physics, Integrable system and Matrix. His Pure mathematics research incorporates elements of Hamiltonian, Type, Polynomial and Hamiltonian system. His biological study deals with issues like Sigma model, which deal with fields such as Linearization.

His research in Mathematical physics tackles topics such as Quantum which are related to areas like Simple. He interconnects Separation of variables, Invariant and Dual polyhedron in the investigation of issues within Integrable system. The Matrix study combines topics in areas such as Trace, Sequence, Partition function and Orthogonal polynomials.

- Pure mathematics (72.08%)
- Mathematical analysis (31.67%)
- Mathematical physics (25.00%)

- Pure mathematics (72.08%)
- Generating function (18.33%)
- Type (24.58%)

His primary areas of investigation include Pure mathematics, Generating function, Type, Hypergeometric distribution and Function. He studies Pure mathematics, focusing on Grassmannian in particular. His Generating function research is multidisciplinary, relying on both Hurwitz polynomial, Riemann sphere, Hurwitz matrix and Partition function.

His work deals with themes such as Mathematical analysis and Order, which intersect with Hurwitz matrix. His Hypergeometric distribution study deals with Taylor series intersecting with Simple. His research integrates issues of Generalized hypergeometric function, Asymptotic expansion and Infinite product in his study of Matrix.

- Generating functions for weighted Hurwitz numbers (42 citations)
- Generating functions for weighted Hurwitz numbers (42 citations)
- Fermionic Approach to Weighted Hurwitz Numbers and Topological Recursion (26 citations)

- Mathematical analysis
- Quantum mechanics
- Algebra

John Harnad mostly deals with Function, Topology, Generating function, Hypergeometric distribution and Riemann sphere. In his study, Polynomial is inextricably linked to Series, which falls within the broad field of Function. His study in Polynomial is interdisciplinary in nature, drawing from both Symmetric function, Combinatorics and Polynomial basis.

His study brings together the fields of Type and Generating function. His work carried out in the field of Hypergeometric distribution brings together such families of science as Basis, Trace, Matrix, Asymptotic expansion and Grassmannian. Branch point, Graph theory, Toda lattice, Riemann surface and Pure mathematics are fields of study that intersect with his Cayley graph study.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

The trouble with Physics: The rise of string theory, the fall of a Science, and what comes next

John Harnad.

The Mathematical Intelligencer **(2008)**

1145 Citations

Group actions on principal bundles and invariance conditions for gauge fields

J. Harnad;S. Shnider;Luc Vinet.

Journal of Mathematical Physics **(1980)**

190 Citations

Darboux coordinates and Liouville-Arnold integration in loop algebras

M. R. Adams;J. Harnad;J. Harnad;J. Hurtubise;J. Hurtubise.

Communications in Mathematical Physics **(1993)**

167 Citations

Isospectral Hamiltonian Flows in Finite and Infinite Dimensions I. Generalized Moser Systems and Moment Maps into Loop Algebras

M. R. Adams;J. Harnad;E. Previato.

Communications in Mathematical Physics **(1988)**

151 Citations

Dual isomonodromic deformations and moment maps to loop algebras

J. Harnad;J. Harnad.

Communications in Mathematical Physics **(1994)**

147 Citations

Duality, Biorthogonal Polynomials¶and Multi-Matrix Models

M. Bertola;B. Eynard;J. Harnad.

Communications in Mathematical Physics **(2002)**

126 Citations

Isospectral Hamiltonian flows in finite and infinite dimensions. II. Integration of flows

M. R. Adams;J. Harnad;J. Hurtubise.

Communications in Mathematical Physics **(1990)**

125 Citations

Constraints and field equations for ten-dimensional super Yang-Mills theory

John P. Harnad;S. Shnider;S. Shnider.

Communications in Mathematical Physics **(1986)**

123 Citations

Superposition principles for matrix Riccati equations

J. Harnad;P. Winternitz;R. L. Anderson.

Journal of Mathematical Physics **(1983)**

122 Citations

Group actions on principal bundles and dimensional reduction

J. Harnad;J. Harnad;S. Shnider;S. Shnider;J. Tafel.

Letters in Mathematical Physics **(1980)**

120 Citations

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