Quantum Heisenberg algebras are algebraic manifestations of Heisenberg’s Uncertainty Principle. Mathematically speaking, they are important examples of noncommutative algebras with “good” ring-theoretic properties. In this study, we look at both classical and quantum symmetries of said algebras. Specifically, in most cases, we are able to classify graded automorphisms, and we also extend these actions to […]
B05: Mathematical Analysis of Disease Propagation in an Epidemiological Model
In the field of Dynamical Systems, the study of infectious disease spread serves a crucial role in understanding and mitigating epidemics. This project focuses on investigating the dynamics of disease propagation using the SIS (Susceptible-Infected-Susceptible) model. We enhance the SIS model by incorporating diffusion to explore how simple diseases spread spatially. Applied dynamical system methods, […]
B50: Game Theory
The general research area is math and statistics, mainly on games and gaming. In the research, we have learned about the different games and how to determine which player will win in certain games. Some games are different from what people are looking at. We are looking at games that can’t have ties, are two […]
A32: Sending Secure Information Using Quantum Cryptography
My general research area is the field of quantum computing (QC) and quantum information processing (QIP). QC & QIP primarily uses the laws of quantum mechanics to store, manipulate and transfer information. The question that I am trying to answer in this poster is whether or not there is a way to send information securely […]