Syllabus:  MT 8833  Geometry/Topology III
Fall 2018

Prof. Tao Li

Course Description:
MT8833 is a research-oriented graduate course on Geometry and Topology. Topics this year are automorphisms of surfaces and mapping class groups. We will cover the first few chapters of "A Primer on Mapping Class Groups" by Farb-Margalit and discuss Thurston's classification of automorphisms of hyperbolic surfaces.

Prof. Tao Li;       Office: Maloney 542;   Phone: 617-552-3767;  Email:

MWF 1:00 - 1:50 pm, Maloney 560

Text books:
A Primer on Mapping Class Groups
by Benson Farb & Dan Margalit, Publisher: Princeton University Press.
The following book is useful:
Automorphisms of Surfaces after Nielsen and Thurston by Andrew Casson & Steven Bleiler. Publisher: Cambridge University Press

Office Hours:

MWF: 9:30-10:30 am & 2:00 - 3:00 pm; Thursday: 10:30 - 11:30 am
(Other hours available by appointment)
Office: Maloney 542; Phone: 617-552-3767;  Email:


Academic integrity is central to the mission of higher education. Please observe the highest standards of academic integrity in this course. Please review the standards and procedures that are published in the university catalog; these are available on the web at Make sure that the work you submit is in accordance with university policies. Violations will be reported to the Deans' Office and reviewed by the College's Committee on Academic Integrity. This could result in failure in the course or even more severe sanctions.