Kathryn Mann

Current classes

Fall 2024:

Math 4520: Classical geometries and modern applications. Provisional Syllabus.
Students should see Canvas for the course website.

Previous teaching

Note:I have removed homework sets and exam problems from many of the older sites, and newer ones are only available to registered students through Canvas. If you're an instructor looking for resources, send me an e-mail.

Math 6620, Riemannian Geometry (graduate course).
Math 4310: Linear algebra. Provisional Syllabus.
Math 4520: Classical geometries and modern applications. Provisional Syllabus.
Berstein seminar in topology. Topic: anosov flows on 3-manifolds.
Preliminary course outline and reading list
Math 2220: Multivariable calculus. (2 lecture sections). Here's our Syllabus and a Day-by-day schedule . Please see canvas for all other info.
Manifolds and Differential forms Fall 2020.
Online course, see link for info. The main course webpage will be on Canvas.
Berstein seminar: Mostow rigidity
Math 4530, Introduction to Topology

Courses/teaching at Brown:

Math 1230, Graph Theory.
Math 2720, Introduction to dynamical systems. Graduate course, joint taught with J. Kahn
Math 1230 (graph theory), spring 2018
Note: assignments have been removed for recycling.

Projective Geometry collaborative study project.
Problem set 1
Problem set 2
Problem set 3

Mnicourse at MIT, March 2017:

Groups, Geometry and Rigidity, an introduction to geometric group theory and Mostow rigidity).
Course notes (rough draft) and a list of references for further reading.

Courses at UC Berkeley: (note: assignments and solutions have been removed. E-mail me if you are an instructor looking for resources)

Math 141 Elementary Differential Topology.
(Fall 2015) Math 113 Abstract Algebra.
(Fall 2015) Math 130 The Classical Geometries
(Fall 2014) Math 113 Abstract Algebra (sections 4 and 5)

At the University of Chicago:

(2013-2014) Math 161-162-163 (Honors Calculus). Inquiry based learning. Co-instructor with E. Herman
(2013) Math 196 Linear Algebra
(2012) Math 195 Mathematical methods for the social sciences. (multivariable calculus)
(2012) Math 113 Studies in Mathematics (geometry). Course materials.
(2011) Math 112 Studies in Mathematics (number theory). Course materials.
(2010-2011) Math 131-132-133 single-variable calculus.