J. Harnad
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John Harnad (born ''Hernád János'') is a Hungarian-born Canadian mathematical physicist. He did his undergraduate studies at
McGill University McGill University (french: link=no, Université McGill) is an English-language public research university located in Montreal, Quebec, Canada. Founded in 1821 by royal charter granted by King George IV,Frost, Stanley Brice. ''McGill Universit ...
and his doctorate at the
University of Oxford The University of Oxford is a collegiate research university in Oxford, England. There is evidence of teaching as early as 1096, making it the oldest university in the English-speaking world and the world's second-oldest university in contin ...
(
D.Phil. A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is a ...
1972) under the supervision of
John C. Taylor John Clarence Taylor, (March 2, 1890 – March 25, 1983) was elected to the U.S. House of Representatives for South Carolina's 3rd congressional district. He served for three terms from 1933 to 1939. Biography John Clarence was born in Honea ...
. His research is on
integrable systems In mathematics, integrability is a property of certain dynamical systems. While there are several distinct formal definitions, informally speaking, an integrable system is a dynamical system with sufficiently many conserved quantities, or first i ...
,
gauge theory In physics, a gauge theory is a type of field theory in which the Lagrangian (and hence the dynamics of the system itself) does not change (is invariant) under local transformations according to certain smooth families of operations (Lie groups ...
and
random matrices In probability theory and mathematical physics, a random matrix is a matrix-valued random variable—that is, a matrix in which some or all elements are random variables. Many important properties of physical systems can be represented mathemat ...
. He is currently Director of the Mathematical Physics group at the
Centre de recherches mathématiques The Centre de recherches mathématiques (CRM) is the first mathematical research institute in Canada, located at the Université de Montréal. The CRM has ten research laboratories, one in each of: mathematical analysis, number theory and symbol ...
(CRM), a national research centre in mathematics at the
Université de Montréal The Université de Montréal (UdeM; ; translates to University of Montreal) is a French-language public research university in Montreal, Quebec, Canada. The university's main campus is located in the Côte-des-Neiges neighborhood of Côte- ...
and Professor in the Department of Mathematics and Statistics at
Concordia University Concordia University (French: ''Université Concordia'') is a public research university located in Montreal, Quebec, Canada. Founded in 1974 following the merger of Loyola College and Sir George Williams University, Concordia is one of the th ...
. He is an affiliate member of the
Perimeter Institute for Theoretical Physics Perimeter Institute for Theoretical Physics (PI, Perimeter, PITP) is an independent research centre in foundational theoretical physics located in Waterloo, Ontario, Canada. It was founded in 1999. The institute's founding and major benefactor is ...
and was a long-time visiting member of the Princeton
Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...
. His work has had a strong impact in several domains of mathematical physics, and his publications are very widely cited. He has made fundamental contributions on: geometrical and topological methods in
gauge theory In physics, a gauge theory is a type of field theory in which the Lagrangian (and hence the dynamics of the system itself) does not change (is invariant) under local transformations according to certain smooth families of operations (Lie groups ...
, classical and quantum
integrable systems In mathematics, integrability is a property of certain dynamical systems. While there are several distinct formal definitions, informally speaking, an integrable system is a dynamical system with sufficiently many conserved quantities, or first i ...
, the spectral theory of
random matrices In probability theory and mathematical physics, a random matrix is a matrix-valued random variable—that is, a matrix in which some or all elements are random variables. Many important properties of physical systems can be represented mathemat ...
, isomonodromic deformations, the bispectral problem, integrable random processes,
transformation groups In mathematics, the automorphism group of an object ''X'' is the group consisting of automorphisms of ''X'' under composition of morphisms. For example, if ''X'' is a finite-dimensional vector space, then the automorphism group of ''X'' is the ...
and
symmetries Symmetry (from grc, συμμετρία "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definit ...
. In 2006, he was recipient of the
CAP-CRM Prize in Theoretical and Mathematical Physics The CAP-CRM Prize in Theoretical and Mathematical Physics is an annual prize awarded by the Canadian Association of Physicists (CAP) and Centre de Recherches Mathématiques (CRM) to recognize research excellence in the fields of theoretical and mat ...
CAP-CRM Prize in Theoretical and Mathematical Physics – Previous Winners
/ref> "For his deep and lasting contributions to the theory of integrable systems with connections to gauge theory, inverse scattering and random matrices".


References


External links


Centre de recherches mathématiquesJohn Harnad's home page
* {{DEFAULTSORT:Harnad, John Living people Canadian physicists Canadian mathematicians Mathematicians from Budapest Mathematical physicists Theoretical physicists Hungarian emigrants to Canada McGill University alumni Alumni of the University of Oxford Institute for Advanced Study visiting scholars 20th-century Canadian scientists 21st-century Canadian scientists Year of birth missing (living people)