Currently, I am studying stability of quiver representations and its applications to persistence theory and topological data analysis.
Y. Diaz, C. Gilbert, R. Kinser, “Total stability and Auslander-Reiten theory for Dynkin quivers”, submitted for publication. preprint: https://arxiv.org/abs/2208.02445.
T. Baumbaugh , Y. Di̇az , S. Fri̇esenhahn , F. Manganiello and A. Vetter , “Batch codes from Hamming and Reed-Muller codes”, Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 5, no. 3, pp. 153-165, Oct. 2018, DOI:10.13069/jacodesmath.466634.