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Hounkonnou is a leading expert on noncommutative and nonlinear mathematics focussing on nonlinear generalized quantum algebras including representations, coherent states, quantum special functions and orthogonal polynomials. His work also concerns differential operator theory in Hilbert spaces, algebraic theory of differential equations and noncommutative field theories. He is co-author and reviewer of books in mathematics, mathematical and theoretical physics. He was a visiting professor at African, European and North American universities. He holds the Intl. Chair of Mathematical Physics and Applications (ICMPA-UNESCO Chair). His membership extends to the Intl. Assoc. of Mathematical Physics, American Mathematical Soc., African Academy of Sciences, NY Academy of Sciences, UNESCO Scientific Board for Intl. Basic Sciences Programme, and others.