My teaching career began in 2003 as a graduate student at the University of Texas at Austin, where I progressed from a Teaching Assistant to an Assistant Instructor (serving as instructor of record for Precalculus), and ultimately to a Lecturer following the completion of my Ph.D. In these early roles, I taught multiple semesters of Calculus alongside introductory Real Analysis. I expanded my instructional pedagogical range during my post-doctoral fellowship in Vancouver, teaching Multivariable Calculus and Introduction to Complex Variables at the University of British Columbia, as well as Calculus I for the Biological Sciences at Simon Fraser University.
While on the faculty at Oklahoma City University from 2011 to 2015, I taught a broad spectrum of the undergraduate curriculum, ranging from developmental and introductory algebra to mid and upper level courses such as Foundations of Mathematics, Linear Algebra, Discrete Mathematics, Algebraic Structures, and Real Analysis. Additionally, I began my work in student mentorship there, supervising several senior capstone projects and an independent study in Topology.
Since joining the faculty at Christopher Newport University in 2015, I have continued to prioritize student-centered pedagogy across all levels of the undergraduate curriculum. I also developed and taught an honors seminar entitled The Power of Mathematical Thinking.
Introductory (100-Level): Contemporary Mathematics, Elementary Statistics, Elementary Cryptography, Mathematics for the Life Sciences, Concepts for Calculus, Calculus for Business and Social Sciences, Calculus and Analytic Geometry, Accelerated Calculus.
Intermediate (200-Level): Intermediate Calculus, Multivariable Calculus, Ordinary Differential Equations, Applied Matrix Techniques, Linear Algebra.
Advanced (300 & 400-Level): Real Analysis I, Modern Algebra I, Number Theory, Graph Theory and Combinatorics, Applied Probability, Linear Algebra and its Applications, Modern Algebra II, Independent Learning Experience, Mathematics Capstone.
Specialized Independent Studies: p-adic Analysis, Diophantine Approximation, Algebraic Number Theory, Analytic Number Theory, The Riemann Zeta Function, Applications of Functional Analysis in Number Theory.
Collaborative research is a vital extension of my classroom teaching. I actively mentor undergraduate students through independent research projects, which has led to peer-reviewed, student-coauthored publications:
The connections between consistent maps and measures (with L. Aberg)
PUMP J. Undergrad. Res. 7 (2024), 69-78. https://doi.org/10.46787/pump.v7i0.4030
Rotation symmetries of sequential matrices with applications to the Jacobi symbol (with Y. Ayub)
PUMP J. Undergrad. Res. 2 (2019), 87-94. https://doi.org/10.46787/pump.v2i0.500
Optimal factorizations of rational numbers using factorization trees (with T.J. Strunk)
Int. J. Number Theory 11 (2015), no. 3, 739-769. https://doi.org/10.1142/S1793042115500402