MAT 477, Seminar in Mathematics, Winter 2024
Instructor
Kasra RafiOffice: BA 6236 (Bahen Centre)
Email: rafi@math.toronto.edu
Meetings
Tuesdays 3:00 - 5:00 pmThursdays 3:00 - 4:00 pm
Location: BF 323
Office Hours
Tuesdays 2 pm -- 3 pmThursdays 4 pm -- 5 pm or by appointment.
Course Description
The purpose of this course is to practice learning math by reading books and paper and giving presentations On the material you have learned. The topics will be centred around the Geometry and Topology of 3-manifolds.
Here are some references:
- Background material.
- Hyperbolic geometry, by Croline Series. You can find the notes here.
- Algebraic Topology, by Alan Hatcher.
- Topological aspects.
- 3-Manifolds, by John Hemple.
- Lectures on Three-Manifold Topology, by William Jaco.
- Introduction to 3-Manifolds, by Jennifer Schultens.
- Geometric aspects.
- Geometry and Topology of Three-manifolds, by William Thurston. You can find the notes here.
- Three-Dimensional Geometry and Topology, by William Thurston.
Schedule of Presentations
Date | Speaker | Title |
---|---|---|
January 16 | Yunong Li | The Fundamental Group |
January 16, 18 | Summer Sun | Introduction to Hyperbolic Geometry |
January 23 | Rishibh Prakash | Dodecahedral Manifolds |
January 23, 25 | Marcello Ghini Bettiol | Triangulations of Manifolds |
January 30 | Alexander Patric Ko | Introduction to Mapping Class Group |
February 1 | Cesar Colmenero | The Prime Decomposition |
February 6 | Cesar Colmenero | The Prime Decomposition |
February 6 | Luke McCutcheon | Introduction to Knot Theorey |
February 8 | Luke McCutcheon | Introduction to Knot Theorey |
February 13 | Kai Qi Hao | Group Actions on Hyperbolic Manifolds |
February 15, 27 | Daniel Dema | Tessellations and Fundamental Domains |
February 27 | Antonio Sato | Inversive Models |
February 29 | Michael Li | Homology of 3-manifolds |
March 5, 12 | Dev Chauhan | An introduction to orbifolds |
March 12, 14 | Summer Sun | Cusped 3-manifolds |
March 14, 19 | Cesar Colmenero | Lens spaces |
March 19 | Hongbo Wang | Seifert Fibered Surfaces |
March 21 | Daniel Dema | Lie Groups and the Universal Cover of SL(2, R) |
March 26 | Kai Qi Hao | The Sol geometry |
March 26 | Rishibh Prakash | Dehn Fillings |
Accessibility Needs
The University of Toronto is committed to accessibility. If you require accommodations for a disability, or have any accessibility concerns about the course, the classroom or course materials, please contact Accessibility Services as soon as possible: email disability.services@utoronto.ca or visit here.