Teaching

Winter School at Renyi: Notes for "A knot-theoretic tour of dimension four" (updated daily)

This semester I am teaching Advanced Topics in Topology (Math 741). The tentative course title is "Algebraic Topology for the Working Manifold Topologist". Course information will soon be available on Canvas.

In previous semesters, I have been the instructor of record for the following courses at Rutgers University-Newark (RU), Columbia University (CU) and Boston College (BC):

  • Statistics I (RU - Fall 2022)

  • Calculus III (CU - Spring 2022)

  • Introduction to Knot Theory (CU - Fall 2021); see below for more information

  • Linear Algebra (CU - Fall 2019, Fall 2020)

  • Perspectives in Mathematics (CU - Fall 2019, co-taught with Dusa McDuff)

  • Principles of Statistics for the Health Sciences (BC - Spring 2017)

  • Finite Probability and Applications (BC - Fall 2015, Spring 2016, Summer 2017)

  • Calculus I (BC - Summer 2016, Fall 2016)

  • Calculus II (BC- Spring 2015, Summer 2018)


When possible, I like to insert bits of topology and knot theory into my teaching. The picture on the right shows an unacceptably knotted braid.

Introduction to Knot Theory (MATH 4052)

At some point soon, I will add some of my materials from this class here, including lecture notes, topics list, and problem sets. In the meantime, here is an excellent example of a final project from the class, courtesy of Carter Teplica (Columbia '23):

A Knot-Theoretic Team-Building Game, by Carter Teplica