Biography

My main academic interests are in algebraic geometry and differential topology. Most recently, I have been working on a research project about the cyclic cohomologies of finitely generated, torsion free subgroups of GL_2(R). I also enjoy teaching mathematics; I have done this as a grader at the Math Olympiad Program, and also as a leader for the United States team to the Girls’ Math Olympiad. In addition, I coordinated at the Math Olympiad of Central America and the Caribbean when it was held in my home island of Puerto Rico. I intend to attend graduate school and obtain a Ph.D. in mathematics with a concentration in algebraic geometry. After this, I would like to pursue a career as a mathematician and engage in research and teaching. As a preparation for these career plans, I would like to study algebraic geometry at Cambridge. There, I also hope to gain a broader view of mathematics, which would allow me to become both a greater researcher and a more effective teacher.