Barry McCoy

Barry McCoy
Name	Barry McCoy
Birth date	1940s
Fields	Mathematical physics, Statistical mechanics, Integrable systems
Workplaces	Stony Brook University, Brookhaven National Laboratory, Institut des Hautes Études Scientifiques
Alma mater	Princeton University, Columbia University
Doctoral advisor	Chen-Ning Yang

Barry McCoy is an American mathematical physicist known for his work in statistical mechanics, integrable models, and exactly solvable systems. He has made influential contributions that connect lattice models, conformal field theory, and special functions, collaborating with leading figures and institutions in theoretical physics and mathematics. His research has influenced developments across quantum field theory, condensed matter physics, and mathematical analysis.

Early life and education

McCoy was educated in the United States, completing undergraduate and graduate studies at institutions associated with notable figures such as Princeton University and Columbia University. He studied under prominent theorists including Chen-Ning Yang and engaged with research communities at places like Institute for Advanced Study and Brookhaven National Laboratory. During his formative years he interacted with scholars connected to Enrico Fermi, Richard Feynman, Hans Bethe, and Murray Gell-Mann.

Academic career

McCoy held faculty positions at institutions including Stony Brook University and research appointments at Brookhaven National Laboratory and visiting posts at Institut des Hautes Études Scientifiques and Saclay. He participated in collaborations and seminars involving researchers from Princeton University, Harvard University, Yale University, and University of Cambridge. McCoy supervised students and postdocs who later joined faculties at places such as Caltech, University of Illinois Urbana–Champaign, University of California, Berkeley, and Rutgers University. He served on editorial boards of journals connected to American Physical Society and Society for Industrial and Applied Mathematics.

Research contributions

McCoy's work spans exact solutions of lattice models such as the Ising model, the eight-vertex model, and the six-vertex model, linking them to topics in conformal field theory, quantum groups, and Painlevé equations. He collaborated with figures like Barry Nickel, Rodney Baxter, Tony Guttmann, and Alexander Zamolodchikov on subjects that connect to Yang–Baxter equation, Bethe ansatz, and Onsager algebra. McCoy contributed to understanding correlation functions, form factors, and scaling limits, bridging results between statistical mechanics studies at Cambridge groups and integrable systems research at Stony Brook.

His analyses employed methods related to Riemann–Hilbert problem, Toeplitz determinants, Fredholm determinants, and special functions including theta functions and elliptic functions. McCoy helped reveal connections between lattice model partition functions and classical results from Carl Gustav Jacob Jacobi and Bernhard Riemann, and influenced later work on discrete holomorphicity studied by groups at Oxford and Institut Henri Poincaré.

McCoy's collaborations intersected with developments in conformal bootstrap approaches and with mathematical structures arising in string theory and AdS/CFT correspondence research pursued at Institute for Advanced Study and Princeton University. His research informed numerical and exact studies at laboratories such as Los Alamos National Laboratory and CERN.

Selected publications and books

McCoy authored and edited monographs and papers that are standard references, often in collaboration with authors like Rodney Baxter, T.T. Wu, and Elliott Lieb. Notable works include studies on the Ising model correlation functions, expositions on the eight-vertex model, and texts on integrable models used in courses at Princeton University and Columbia University. His publications appeared in journals associated with American Physical Society, Nuclear Physics B, and Communications in Mathematical Physics. He contributed chapters to volumes from conferences held at Les Houches, Cargèse, and Mathematical Sciences Research Institute.

Awards and honors

McCoy received recognition from institutions and societies including awards and fellowships linked to National Science Foundation, American Physical Society, and national research bodies tied to United States Department of Energy. He held visiting fellowships at Institut des Hautes Études Scientifiques and received invited lectureships at meetings organized by International Congress on Mathematical Physics, International Congress of Mathematicians, and workshops at Banff International Research Station.

Personal life and legacy

McCoy's mentorship influenced generations of mathematical physicists who went on to positions at University of Chicago, Cornell University, University of Michigan, and Brown University. His legacy persists in curricula at Stony Brook University and research programs at Brookhaven National Laboratory, and through continuing citations in work by scholars at Caltech, Harvard University, and MIT. McCoy's approaches continue to inform contemporary studies in exactly solvable models pursued in research groups across Europe, Japan, and China.

Category:Living people Category:American physicists Category:Mathematical physicists