Teaching at University of Delaware (2025 — )
MATH 210: Discrete Mathematics (Fall 2025)
Discrete Mathematics with Graph Theory, Edgar Goodaire and Michael Parmenter
MATH 243: Analytic Geometry and Calculus C (Fall 2025)
Calculus: Early Transcendentals, James Stewart et al.
Teaching at Wake Forest University (2022 — 2025)
MTH 117: Discrete Mathematics (Fall 2023, Fall 2024, Spring 2025)
Discrete Mathematics with Applications, Susanna Epp
MTH 345/645: Elementary Number Theory (Spring 2023, Spring 2024, Spring 2025)
An Experimental Introduction to Number Theory, Benjamin Hutz
MTH 113: Multivariable Calculus (Fall 2024)
Calculus: Early Transcendentals, James Stewart et al.
MTH 324/624: Advanced Linear Algebra (Spring 2024)
Linear Algebra Done Right, Sheldon Axler
MTH 346/646: Modern Number Theory (Fall 2023)
Rational Points on Elliptic Curves, John Tate and Joseph Silverman
MTH 111: Calculus with Analytic Geometry I (Fall 2022, Spring 2023)
Calculus: Early Transcendentals, James Stewart et al.
Textbooks for Independent Study
Here are some of my favorite textbooks for undergraduates interested in getting a taste of arithmetic geometry. This list is far from exhaustive, but these books are solid options for self study or directed reading. They are enjoyable to read, offer clear explanations of the main concepts, and have relatively modest prerequisites (mainly abstract algebra).
Algebraic Number Theory and Fermat's Last Theorem, I. Stewart and D. Tall
Algebraic Curves: An Introduction to Algebraic Geometry, W. Fulton
Rational Points on Elliptic Curves, J. Silverman and J. Tate
Elliptic Curves, Modular Forms, and Their L-functions, A. Lozano-Robledo