Hopf algebras are a natural extension of groups in noncommutative algebra. Most of my research explores the parallels of the two theories and connections that can be made between them.
keywords
Noncommutative Algebra, Group Theory, Hopf Algebras
MATH 1212  Data and Models
Primary Instructor

Spring 2018 / Fall 2018 / Fall 2019
Engages students in statistical and algebraic problem solving through modeling data and real world questions taken from the social and life sciences. The course will emphasize these skills and the mathematical background needed for a university level statistics course. Credit not granted for this course and MATH 1011.
MATH 2300  Calculus 2
Primary Instructor

Spring 2019
Continuation of MATH 1300. Topics include transcendental functions, methods of integration, polar coordinates, differential equations, improper integrals, infinite sequences and series, Taylor polynomials and Taylor series. Department enforced prerequisite: MATH 1300 or MATH 1310 or APPM 1345 or APPM 1350 (minimum grade C). Degree credit not granted for this course and APPM 1360.
MATH 2400  Calculus 3
Primary Instructor

Summer 2018
Continuation of MATH 2300. Topics include vectors, threedimensional analytic geometry, partial differentiation and multiple integrals, and vector analysis. Department enforced prerequisite: MATH 2300 or APPM 1360 (minimum grade C). Degree credit not granted for this course and APPM 2350.
MATH 2510  Introduction to Statistics
Primary Instructor

Spring 2018
Elementary statistical measures. Introduces statistical distributions, statistical inference, hypothesis testing and linear regression. Department enforced prerequisite: two years of high school algebra.
MATH 4510  Introduction to Probability Theory
Primary Instructor

Spring 2018 / Summer 2018 / Spring 2019 / Summer 2019
Studies axioms, combinatorial analysis, independence and conditional probability, discrete and absolutely continuous distributions, expectation and distribution of functions of random variables, laws of large numbers, central limit theorems, and simple Markov chains if time permits. Degree credit not granted for this course and APPM 3570 or ECEN 3810 or MATH 3510. Same as MATH 5510.
MATH 5510  Introduction to Probability Theory
Primary Instructor

Spring 2018 / Summer 2018 / Spring 2019 / Summer 2019
Studies axioms, combinatorial analysis, independence and conditional probability, discrete and absolutely continuous distributions, expectation and distribution of functions of random variables, laws of large numbers, central limit theorems, and simple Markov chains if time permits. Same as MATH 4510.