Rate My Professor Mariah Barnes

Dr. Barnes-Gonzalez's research interests center on non-associative algebra, with a particular emphasis on loops and quasigroups. Her expertise in this area stems from her graduate studies and continues at Baylor. Notably, in 2024, she collaborated with undergraduate researcher Chloe Povey-Rowe on a project titled "Generalizing Chein's M(G,2) Loops via a Modified Cayley-Dickson Process." This research introduces a novel construction utilizing a modified Cayley-Dickson process, incorporating an antiautomorphism and a central element to generate magmas that generalize Chein's M(G,2) Moufang loops. The study demonstrates closure properties and reduces to known loops under specific conditions, forging new connections in non-associative algebra. Additionally, during her time at the University of Denver, she presented on "On semiparamedial quasigroups" at an AMS sectional meeting.

In her role at Baylor University, Dr. Barnes-Gonzalez teaches a variety of undergraduate courses, including Precalculus and Calculus. She is actively involved in educational outreach, co-leading Mathematics Circles at Baylor University—an initiative aimed at engaging middle school students in the Waco area with mathematical concepts. This program, launched in collaboration with colleagues Dr. Christoph Fischbacher, Dr. Josiah Ireland, and Dr. Matthew Kroesche, underscores her commitment to broadening access to mathematics education.