Research
I am interested in Algebra , Geometry and Topology. I specially study Clifford algebras and applications of Quaternions and Octonions in the field of Computer science and Physics.
My Ph.D. thesis publication : Classification of left eigenvalues of octonionic Hermitian matrices
My Master thesis publication : Octonions and Rotation
Recent Publication : "pyoctonion" library
: Python code for solving quaternionic quadratic equation
: Octonionic quadratic equations
: Octonionic quadratic equation :python code (pdf)
: Octonionic left quadratic equation :python code (ipnb)
: Real eigenvalues of 3by3 octonionic Hermitian matrices (pdf).
: Real eigenvalues of 3by3 octonionic Hermitian matrices (ipnb).
Conference Talk : The Annual Meeting of the Illinois Section of the MAA, Southern Illinois University, Carbondale. March 29-30, 2019.
Seminar Talk : Solving Quaternionic Quadratic Equations
: Octonions and the rolling ball ( Split Octonions)
My blogspot for Quaternions and Octonions : kalpamadhawa.blogspot.com
Current work :
Octonionic Quadratic Equation
Classification of Eigenvalues of Octonionic Hermitian Matrices ( Dissertation)
Cayley Hamilton Theorem for Octonionic Hermitian Matrices
Singular Value decomposition of Quaternion Matrices (Application in signal processing)