My teaching plans

In the Spring 2008 term I am teaching:

MATH 408 - Mathematical Cryptology. We will use the textbook, "An Introduction to Mathematical Cryptography", by Jeffrey Hoffstein, Jill Pipher, and Joseph Silverman. We will also use references available over the internet: in particular, the Handbook of Applied Cryptography by Alfred J. Menezes, Paul C. van Oorschot and Scott A. Vanstone. 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.

MATH 324 - Introduction to Complex Analysis. We will use the textbook, "Fundamentals of Complex Analysis with Applications to Engineering and Science", by E.B. Saff and A.D. Snider. Topics to be covered include: complex numbers and their properties; analytic functions of a complex variable, described in four ways -- through the Cauchy-Riemann equations, complex differentiation, complex integration, and power series; elementary functions; contour integrals; Taylor and Laurent series; singularities and residues. As time permits, we will touch on conformal mapping. 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.

In theFall 2008 term I expect to teach:

MATH 303 - Introduction to Number Theory and Cryptology. We will be using a textbook entitled, "A Friendly Introduction to Number Theory, 3rd 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. We will look at recent developments in Public Key Cryptography, especially RSA. The subject of Cryptology is further developed in MATH 408, offered in the spring semester. 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.

MATH 361- Geometry I. (Department Seminar) An introduction to the various two-dimensional geometries, including Euclidean, spherical, hyperbolic, projective, and affine. The course will examine the axiomatic basis of geometry, with an emphasis on transformations. Topics include the parallel postulate and its alternatives, isometries and transformation groups, tilings, the hyperbolic plane and its models, spherical geometry, affine and projective transformations, and other topics. We will examine the role of complex and hypercomplex numbers in the algebraic representation of transformations. The course is self-contained, however.

(This page was last updated on 12/17/08)