My main areas of interest are algebraic Lie theory and algebraic combinatorics, particularly the combinatorics of Coxeter groups. I am also interested in applications of these theories to other areas of mathematics, and to the sciences.
algebraic Lie theory, algebraic combinatorics, combinatorics of Coxeter groups
MATH 2001 - Introduction to Discrete Mathematics
Introduces the ideas of rigor and proof through an examination of basic set theory, existential and universal quantifiers, elementary counting, discrete probability, and additional topics. Department enforced prerequisite: MATH 1300 or MATH 1310 or APPM 1345 or APPM 1350 (minimum grade C-).
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
Spring 2018 / Summer 2018 / Summer 2019
Studies basic properties of algebraic structures with a heavy emphasis on groups. Other topics, time permitting, may include rings and fields.
MATH 6140 - Algebra 2
Studies modules, fields and Galois theory. Department enforced prerequisite: MATH 6130. Instructor consent required for undergraduates.