Publications

1. Barkataki, K. and Panagiotou, E. , 2026, A parallel algorithm for the computation of the Jones polynomial, Proc. Natl. Acad. Sci. U.S.A. 123 (17) e2520332123 [Link to Full Paper] . 

2. Barkataki, K. , Kauffman, L. H. , and Panagiotou, E. ,  2024, The Virtual Spectrum of Linkoids and Open Curves in 3-space, J. Knot Theory Ramif. Vol. 33, No. 03, 2450006 [Link to Full Paper]

3. Barkataki, K. and Panagiotou, E. , 2024, The Jones polynomial in systems with Periodic Boundary Conditions,  J. Phys. A: Math. Theor. 57 155202 [Link to Full Paper] 

4. Barkataki, K. and Panagiotou, E. , 2022, The Jones polynomial of collections of open curves in 3-space, Proc. R. Soc. A. 478 20220302 [Link to Full Paper] 

In Preparation

1. Barkataki, K., Aspinall, B., and Panagiotou, E., 2026, Collective entanglement in polymers and their complexity with respect to entanglement length.

2. Barkataki, K., and Michieletto, D., 2026, Machine learning for the classification of open curves and the prediction of the coefficients of the Jones polynomial.