In Fall 2026 I am teaching:
MATH 303 - Introduction to Number Theory and Cryptology. We will be using a textbook entitled, "A Friendly Introduction to Number Theory, 4th Edition, by Joseph H. Silverman." This course will develop basic concepts in number theory and investigate applications to the exciting field of secure communications and cryptosystems. If you have questions, you may contact me by e-mail. I check my mail regularly, so this is an excellent way to reach me, and I am always happy to hear from you. The details can be found on Canvas.
MATH 465 - Differential Geometry. We will be using a textbook entitled, "Differential Geometry of Curves and Surfaces, Revised and Updated Second Edition, by Manfredo Do Carmo." This course studies the geometry of curves and surfaces in Euclidean space: intrinsic and extrinsic geometry, curvature, structural equations of Riemannian geometry, and the Gauss-Bonnet theorem.
In Spring 2026 I plan to teach:
MATH 467 - Differentiable Manifolds. We will be using the textbook, "An Introduction to Manifolds, 2nd edition", by Loring W. Tu. Suggested texts for supplementary reading include "Differential Topology: First Steps", by Andrew Wallace; "Topology from the Differential Viewpoint", by John Milnor; and "Introduction to Differentiable Manifolds", by Louis Auslander and Robert MacKenzie.
MATH 425 - Complex Analysis I. We will be using the textbook, "Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable, Third Edition, by Lars ahlfors." The course will cover analytic functions, Integration over paths in the complex plane. Index of a point with respect to a closed path; Cauchy’s theorem and Cauchy’s integral formula; power series representation; open mapping theorem; singularities; Laurent expansion; residue calculus; harmonic functions; and possibly additional topics.. the course is more theoretical and at a higher level than MATH 324.
(This page was last updated on 10/27/2026)