Florencia works on vertex algebra theory and Lie theory. These fields lie at the intersection of mathematics and theoretical physics.
Algebra, Lie Theory, vertex algebras
MATH 2130 - Introduction to Linear Algebra for Non-Mathematics Majors
Examines basic properties of systems of linear equations, vector spaces, inner products, linear independence, dimension, linear transformations, matrices, determinants, eigenvalues, eigenvectors and diagonalization. Intended for students who do not plan to major in Mathematics. Degree credit not granted for this course and MATH 2135 or APPM 3310. Formerly MATH 3130.
MATH 3140 - Abstract Algebra 1
Studies basic properties of algebraic structures with a heavy emphasis on groups. Other topics, time permitting, may include rings and fields.
MATH 6250 - Theory of Rings
Studies semi-simple Artinian rings, the Jacobson radical, group rings, representations of finite groups, central simple algebras, division rings and the Brauer group. Department enforced prerequisites: MATH 6130 and MATH 6140. Instructor consent required for undergraduates.