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Branimir Ćaćić is an Associate Professor at the University of New Brunswick, specializing in Mathematics and Statistics. His research primarily focuses on differential geometry, which utilizes techniques from multivariable calculus and linear algebra to address geometric problems. His work is substantial in the study of higher-dimensional curved spaces, a subject that has significant implications in various fields, notably in Einstein’s general theory of relativity. The evolution of quantum mechanics in the 1930s shifted the focus of mathematicians and theoretical physicists towards understanding generalized spaces where the coordinates do not commute. Ćaćić's research contributes to the development of noncommutative differential geometry and noncommutative gauge theory through the lens of spectral triples and unbounded KK-theory. He is particularly interested in the applications of noncommutative geometry in areas such as harmonic analysis, condensed matter physics, cosmology, and geometric group theory. His investigations into these intersecting fields reflect the remarkable connections between mathematics, theoretical physics, and advanced analytical methods.
Department of Business / Department of Management / Department of Business Administration