Research/Publications

RESEARCH:
Currently, I am studying stability of quiver representations and its applications to persistence theory and topological data analysis.


PUBLICATIONS:

  • 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.

INVITED PRESENTATIONS:

  • Total stability for Dynkin quivers and almost split sequences. AMS Spring Western Sectional Meeting, Special Session on Quivers, Tensors, and Their Applications (May 1, 2021)
  • Total stability for Dynkin quivers and almost split sequences. AMS Spring Eastern Sectional Meeting, Special Session on Hopf Algebras, Tensor Categories, and Related Homological Methods (March 20, 2021)

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