Mathematics 9600 :: Introduction to Foliations :: Fall 2021

What's new?
The schedule of presentations is posted.

Course Details

Middlesex College

Location and Time

Lectures in MC 107:

Wednesdays 9:30-11:30 AM,
Thursdays 11.30 AM- 12:30 PM;

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Cesar Camacho and Alcides Lins Neto, Geometric Theory of Foliations, Birkhauser, 1985. This book is on a 1-day reserve in the library .

Other relevant texts: TBA



Lectures: Prof. Rasul Shafikov,
Office Hours: Tuesdays 2:30 - 4 PM in MC 112.


Course Outline

The course is dedicated to the study of foliations on manifolds. After covering some required background material, we will spend a significant amount of time studying important examples of foliations, topology of the leaves, holonomy and other properties of foliations. We will then discuss Haefliger’s theorem and Novikov’s theorem – fundamental results in classical foliation theory.

Course syllabus

What is expected?

What is expected of the student?

Students are expected to attend all lectures, complete the assignment, and give an in-class oral presentation at the end of the class.


Course Evaluation

The overall course grade will be calculated as follows:

  1. Homework Assignment = 31%
  2. Presentation = 69%


Homework assignment is due on November 11

Late submission will receive an automatic 10% deduction. Papers written in TeX or LaTeX will receive 1 extra point.


In-class presentations will take place at the end of the course, starting Dec 1. The topics should be selected in consultation with the instructor. Available topics:


For policies on prerequisites, student absences, academic offences, and other academic policies please see the Course Outline.