Rasika Churchill

Research 

Research: Algebraic and Geometric Topology, Knot Theory, Quandles, Quantum Invariants of Knots.

Interests: Applications of Knot Theory in Chemistry, Physics and Biology

Publications 

• Indu R. U. Churchill, M. Elhamdadi, N. Fernando, The Cocycle Structure of Alexander f-Quandles on Finite Fields, Journal of Algebra and it’s Applications, Vol. 17, No. 10 (2018).
• Indu Rasika U. Churchill, Contributions to Quandle Theory: A Study of f-Quandles, Extensions, and Cohomology, Thesis (Ph.D.) - University of South Florida. 2017. 96 pp. ISBN: 978-0355-04173-6.
• Indu R. U. Churchill, M. Elhamdadi, M. Green, and A. Makhlouf, Ternary and n -ary f Distributive Structures, Open Math. 16 (2018), 32-45.
• Indu R. U. Churchill, M. Elhamdadi, M. Hajij, and S. Nelson, Singular Knots and Involutive Quandles, J. Knot Theory Ramifications 26 (2017), no. 14, 1750099, 14 pp. https://doi.org/10.1142/S0218216517500997
• f-Racks, f-Quandles, their Extensions and Cohomology, with Indu R. U. Churchill, M. Green and N. Makhlouf, J. Algebra Appl. Vol. 16, No. 11 (2017) 1750215 (16 pages).

Education 

Ph.D. Mathematics, University of South Florida, Tampa, FL. (2017)
M.A. Mathematics, University of South Florida, Tampa, FL.(2013)
B.Sc.(Special) Mathematics, University of Kelaniya, Kelaniya, Sri Lanka. (2009)