"If you want to learn mathematics, you cannot approach it as a spectator sport; sitting on the edge of the pool and dipping your toe in will not get you into the subject. You must jump into it with both feet, commit yourself, and do a lot of dirty work and splashing around..." (John B. Conway, Preface of "A Course in Point Set Topology.")
Master Students - Cal Poly Pomona - Thesis Advisor
Edgar Rojas (expected for Spring 2025).
John Rodriguez, "A Study of discrete Laplacians and an exploration of Poincaré-type inequalities on graphs" (Spring 2024).
Vahram Khachikyan, "Distance Muckenhoupt weights and Assouad dimension" (Spring 2023).
Master Students - Cal Poly Pomona - Committee Member
Seth Ricarte, "Analyzing the characteristics of post-secondary Algebra assesments" (Spring 2023).
Janelle Beck, "Analysis of opportunities to learn within exercise tasks of AP Calculus AB textbooks" (Summer 2022).
Keshet Weinstein, "The slice group of the pyraminx" (Spring 2022).
Maria Diaz, "Speaking out: Mathematical Models of language preservation" (Spring 2020).
Undergraduate Projects
Andrew Aguilar & Jez Sabugo-Llamas - Cal Poly Pomona An application of a weighted discrete Hardy inequality on trees to Friedrichs' inequality on a fractal domain, URG-PUMP project (2020/21). WebsiteTalk
Andrew Aguilar, Jocelyn Haro & Brandon Wallace - Cal Poly Pomona Sophisms & Erroneous Resolutions: Intentional and non-intentional invalid reasonings in Calculus (2019/20). Poster
Giao Bui & Van Tran - Cal Poly Pomona Poincaré type inequalities on domains with a cusp, URG-PUMP project (2017/18). WebsiteTalk This work was submitted for publication to a research journal in Mathematics, and it is under peer review.
James Alcala - University of California Riverside The optimal constant of the Poincaré Inequality on convex domains (2016/17). Talk