A. Dargys

Center for Physical Sciences and Technology

Papers

Total Citations

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About

A. Dargys is a leading researcher in the mathematical foundations of Clifford geometric algebras (GAs), with a specific focus on the exponential function of multivectors. Their major contributions lie in deriving closed-form, coordinate-free expressions for the exponential of a general multivector in 3D Clifford algebras (Cl_{p,q} for p+q=3). This work is critical for applications in physics and engineering, as the exponential map is fundamental to rotations, Lorentz transformations, and solving differential equations within the GA framework. Dargys’s key papers, including "Exponentials of general multivector in 3D Clifford algebras" (2021, 9 citations) and "Coordinate‐free exponentials of general multivector in Cl_{p,q} algebras for p+q=3" (2022, 6 citations), address the significant challenge of "entanglement" between vector and bivector components. By providing explicit formulas for GA trigonometric and hyperbolic functions of a multivector argument, Dargys has furnished researchers with powerful, practical tools for computation and theoretical analysis. This work is essential reading for anyone working in geometric algebra, quantum computing, or theoretical physics who needs to manipulate multivector exponentials.