Kalpa Thudewaththage, PhD
- Assistant Teaching Professor
Affiliated Programs
Education
- PhD, Algebraic Geometry (2021)
Southern Illinois University (IL) - MS, Algebraic Geometry (2017)
Southern Illinois University (IL) - BSc, Mathematics (2013)
University of Peradeniya (LK)
About Me
I completed my PhD in 2021 at Southern Illinois University Carbondale, USA. Mathematics has always fascinated me both as a student and as a professor. It is an important tool for building and exploring concepts in many disciplines such as physics, computer science, chemistry, economics, business, finance and even biology. Hence, a concrete foundation of mathematics is necessary for students in learning and succeeding in their chosen professions and careers.
Research Interests
My research interests lie in the field of algebra, geometry and topology. Mainly, I study Clifford algebras and applications of octonions and quaternions in physics and computer science. Also, interest of undergraduate research topics in the field of statistics, numerical analysis, differential equations, number theory, computational mathematics, and computer Science.
Publications
- Thudewaththage, K. (2021). Classification of left eigenvalues of octonionic Hermitian matrices (Ph.D. dissertation). Southern Illinois University, Carbondale, IL. Published at OpenSIU.
- Thudewaththage, K. (2020). Python code for solving quaternionic quadratic equations. Published at OpenSIU.
- Thudewaththage, K. (2020). Octonionic quadratic equations. arXiv:2012.15746.
- Thudewaththage, K. (2017). Octonions and rotations (M.S. thesis). Southern Illinois University, Carbondale, IL. Published at OpenSIU.
Professional Affiliations & Memberships
American Mathematical Society, Mathematical Association of America, SIU Alumni Association
Awards
John M.H. Olmsted Outstanding Ph.D. Teaching Assistant award, Southern Illinois University (2019-2020)