Teaching at Wake Forest

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. While this list is far from exhaustive, 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