2006 - CAP-CRM Prize in Theoretical and Mathematical Physics, Canadian Association of Physicists and Centre de Recherches Mathématiques
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.
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.
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.
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.
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The trouble with Physics: The rise of string theory, the fall of a Science, and what comes next
The Mathematical Intelligencer (2008)
Group actions on principal bundles and invariance conditions for gauge fields
J. Harnad;S. Shnider;Luc Vinet.
Journal of Mathematical Physics (1980)
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)
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)
Dual isomonodromic deformations and moment maps to loop algebras
J. Harnad;J. Harnad.
Communications in Mathematical Physics (1994)
Duality, Biorthogonal Polynomials¶and Multi-Matrix Models
M. Bertola;B. Eynard;J. Harnad.
Communications in Mathematical Physics (2002)
Isospectral Hamiltonian flows in finite and infinite dimensions. II. Integration of flows
M. R. Adams;J. Harnad;J. Hurtubise.
Communications in Mathematical Physics (1990)
Constraints and field equations for ten-dimensional super Yang-Mills theory
John P. Harnad;S. Shnider;S. Shnider.
Communications in Mathematical Physics (1986)
Superposition principles for matrix Riccati equations
J. Harnad;P. Winternitz;R. L. Anderson.
Journal of Mathematical Physics (1983)
Group actions on principal bundles and dimensional reduction
J. Harnad;J. Harnad;S. Shnider;S. Shnider;J. Tafel.
Letters in Mathematical Physics (1980)
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