Teaching

This course concerns the core theory of linear algebra, with specific attention to applications.

An introduction to the theory of rational integers; divisibility, the unique factorization theorem; congruences, quadratic residues. Selections from the foll...

Galois Theory is the study of symmetry in the solutions to polynomial equations. In its modern formulation, it describes a beatiful correspondence between fi...

This course concerns the mathematical problems underlying public-key ciphers and digital signatures, as well as algorithms to solve them. Topics may include ...

What, exactly, is a proof? This course begins with a precise definition specifying what counts as a mathematical proof. This definition makes it possible to ...

This course emphasizes enumerative combinatorics, a classical subject in mathematics related to the theory of counting. Problems in this area often pertain t...

This course concerns the two central idea of calculus: the derivative and the integral.

This course concerns the mathematical problems underlying public-key ciphers and digital signatures, as well as algorithms to solve them. Topics include disc...

This course is focused on integration techniques, series, and parametric/polar equations.

This course concerns the core theory of linear algebra, with specific attention to the theoretical development necessary for pure mathematics. The primary ob...

This course concerns the mathematical problems underlying public-key ciphers and digital signatures, as well as algorithms to solve them. Topics include disc...

This course concerns the mathematical problems underlying public-key ciphers and digital signatures, as well as algorithms to solve them. Topics include disc...

This course serves as an introduction to mathematical reasoning and pays particular attention to helping students learn how to write proofs. The topics cover...

This course is an introduction to abstract algebra, a central pillar of modern mathematics that concerns generalizations of the familiar addition and multipl...

This course concerns the core theory of linear algebra, with specific attention to applications.

This course concerns the core theory of linear algebra, with specific attention to applications.

This course concerns the mathematical problems underlying public-key ciphers and digital signatures, as well as algorithms to solve them. Topics include disc...

This course is an introduction to abstract algebra, a central pillar of modern mathematics that concerns generalizations of the familiar addition and multipl...

This course covers the first major topics of calculs: limits and derivatives. Alongside the calculus material, the course provides continual review of concep...

This course concerns the core theory of linear algebra, with specific attention to applications.

This course is focused on integration techniques, series, and parametric/polar equations.

This course concerns the core theory of linear algebra, with specific attention to applications.

This course concerns the two central idea of calculus: the derivative and the integral.

This course will cover the methods, key examples, and technical foundations of modern algebraic geometry. It is a continuation of Math 205 from the fall. The...

This course will cover the methods, key examples, and technical foundations of modern algebraic geometry. The course will aim to both present examples and me...

This course concerns the mathematical problems underlying public-key ciphers and digital signatures, as well as algorithms to solve them. Topics include disc...

We will discuss sheaf cohomology in detail, and then cover the basic theory and some special topics in the theory of algebraic curves.

This course will focus on the mathematics of public-key cryptography. This subject presents an appealing introduction to several topics from both mathematics...

Students will learn to understand, evaluate, and apply limits and derivatives of functions, as well as the basics of antidifferentiation and integration.

This course introduces the basic ideas of number theory. It is aimed at non-majors and has no prerequisites.

A second-semester course in calculus, geared towards students interested in physics and engineering.