PROJECTS AND PUBLICATIONS
Currently, I am studying stability of quiver representations and its applications to persistence theory and topological data analysis. I also work on course development and Scholarship of Teaching and Learning project as related to mathematics education.
RESEARCH PROJECTS
Y. Diaz and A. Pincus-Kazmar, “Transformations of bound quivers,” (Undergraduate honors project). In progress.
Y. Diaz, M. Albrizzio, “Quivers and Cryptography,” In progress.
N. Arcila-Maya, Y. Diaz, W. Li, W. Zhao, "Improved multiparameter filtrations for climate science data" (AMS MRC 2024 project). In progress.
Y. Diaz, “Rank lists of Zigzag matrices,” (Summer research with undergraduate students). In progress.
PUBLICATIONS
Y. Diaz, “Completely-decomposable subrepresentations of quivers”. In preparation.
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.
RESEARCH IN MATH EDUCATION AND COURSE DESIGN
In the Fall of 2024, I participated in A Scholarship of Teaching and Learning for ACM Faculty (Associated Colleges of the Midwest) and received a small award to conduct a project with the following goals:
Design and implement a SoTL project for Macalester's introductory calculus course (Applied Multivariable Calculus I)
Develop mechanisms for assessing student outcomes in introductory calculus compared with their high school preparation
Prepare scholarly article for submission to academic journals and conferences
This project is ongoing.
In the summer of 2022, I collaborated with Professor Cynthia Farthing in the mathematics department and university personnel from the Center of Teaching and Learning on course improvement for College Algebra (MATH:1005). We focused on the implementation of metacognitive journals and their role in the success of undergraduate students in College Algebra.
Our poster Implementing Metacognitive Supports in College Algebra Course was accepted for presentation at the AAC&U STEM Conference on Transforming STEM Higher Education (Arlington, VA; November 3-5, 2022).