Teaching & Courses

I teach courses across the mathematics curriculum, from calculus, linear algebra, probability, and discrete mathematics to real analysis, topology, algebraic topology, geometric combinatorics, game theory, and social choice. I am especially interested in inquiry, mathematical writing, collaborative problem-solving, and helping students experience mathematics as a creative and human activity.

Jump to: recent course websites · open courses & resources · course archive · courses taught · mentoring & development

Recent course websites

These pages document courses as they were taught in particular semesters. Schedules, policies, assignments, personnel, and external systems may no longer be current.

Open courses & teaching resources

Real Analysis Video Course

Twenty-six undergraduate lectures, with a complete playlist, individual lecture links, notes, an archived course page, and an updated FAQ.

Writing Mathematics Well

Short handouts I made for lower-division students and mathematics majors about good mathematical writing.

Collaborating on Mathematics

A department handout about productive, responsible, and equitable mathematical collaboration.

Topology Through Inquiry resources

Instructor guidance, LaTeX files, sample syllabi, and other materials for an inquiry-based topology course.

Course archive

Foundational courses

Proof-based core

Advanced & interdisciplinary

Course-page convention

For each course, the newest semester should appear first. When a course ends, retain the page as an archive but add a visible notice stating the semester and noting that dates, policies, and external links may be outdated.

Courses taught

Abstract Algebra II: Galois Theory · Algebraic Topology · Calculus · Differential Equations · Discrete Mathematics · Dynamical Systems · Game Theory · Geometric Combinatorics and Polytopes · Intermediate Probability · Introduction to Academic Writing · Introduction to Probability and Statistics · Linear Algebra · Mathematics Clinic · Mathematics for Human Flourishing · Multivariable Calculus · Putnam Seminar · Real Analysis I · Real Analysis II · Science and Religion · Social Choice and Decision Making · Topology.

Mentoring & professional development

I have mentored more than 80 research, thesis, and other students. My teaching work has also included short courses and professional development for Math for America, MathPath, Scots College in Sydney, and school mathematics teachers.

See the full curriculum vitae for the complete mentoring and teaching record →